From b40d61a9b11beec3477affc4a40310227f268f40 Mon Sep 17 00:00:00 2001 From: Michelle Burfeind Date: Sat, 7 Feb 2026 04:02:31 +0100 Subject: [PATCH] anpassung ellipsoid statt ellipse, anpassung lokaltest wegen falschem beta --- Ausgleichungsprogramm.ipynb | 39661 +++++++++++++++++++++++++++- Export.py | 12 +- Netzqualitaet_Genauigkeit.py | 285 +- Netzqualitaet_Zuverlaessigkeit.py | 4 +- 4 files changed, 39680 insertions(+), 282 deletions(-) diff --git a/Ausgleichungsprogramm.ipynb b/Ausgleichungsprogramm.ipynb index d44965c..9f3ac9c 100644 --- a/Ausgleichungsprogramm.ipynb +++ b/Ausgleichungsprogramm.ipynb @@ -3,8 +3,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:31.126054900Z", - "start_time": "2026-02-06T20:51:23.032021Z" + "end_time": "2026-02-07T02:34:06.127612Z", + "start_time": "2026-02-07T02:34:04.018972Z" } }, "cell_type": "code", @@ -36,8 +36,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:31.168466300Z", - "start_time": "2026-02-06T20:51:31.134231300Z" + "end_time": "2026-02-07T02:34:06.149413Z", + "start_time": "2026-02-07T02:34:06.146794Z" } }, "cell_type": "code", @@ -70,8 +70,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:31.817878500Z", - "start_time": "2026-02-06T20:51:31.174522100Z" + "end_time": "2026-02-07T02:34:06.363762Z", + "start_time": "2026-02-07T02:34:06.155844Z" } }, "cell_type": "code", @@ -96,8 +96,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:33.013596300Z", - "start_time": "2026-02-06T20:51:32.402670800Z" + "end_time": "2026-02-07T02:34:06.741973Z", + "start_time": "2026-02-07T02:34:06.369824Z" } }, "cell_type": "code", @@ -111,39 +111,39 @@ { "data": { "text/plain": [ - "" + "" ], "text/html": [ "\n", - "\n", + "
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InstrumenteIDTypBezeichnungInstrumenteIDTypBezeichnung
1TachymeterTrimble S91TachymeterTrimble S9
2AnschlusspunktelA2AnschlusspunktelA
3NivellierTrimble DiNi 0.33NivellierTrimble DiNi 0.3
4GNSSGNSS-Rover4GNSSGNSS-Rover
\n" @@ -161,8 +161,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:33.381086500Z", - "start_time": "2026-02-06T20:51:33.113614900Z" + "end_time": "2026-02-07T02:34:06.761288Z", + "start_time": "2026-02-07T02:34:06.754629Z" } }, "cell_type": "code", @@ -201,8 +201,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:33.483100900Z", - "start_time": "2026-02-06T20:51:33.386539600Z" + "end_time": "2026-02-07T02:34:06.777868Z", + "start_time": "2026-02-07T02:34:06.770404Z" } }, "cell_type": "code", @@ -216,44 +216,44 @@ { "data": { "text/plain": [ - "" + "" ], "text/html": [ "\n", - "\n", + "
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instrumenteIDbeobachtungsartstabw_apriori_konstantstabw_apriori_streckenpropinstrumenteIDbeobachtungsartstabw_apriori_konstantstabw_apriori_streckenprop
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1Tachymeter_Strecke0.0008001.0000001Tachymeter_Strecke0.0008001.000000
1Tachymeter_Zenitwinkel0.000002nan1Tachymeter_Zenitwinkel0.000002nan
3Geometrisches_Nivellement0.0001000.3000003Geometrisches_Nivellement0.0001000.300000
\n" @@ -271,8 +271,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:33.568358500Z", - "start_time": "2026-02-06T20:51:33.496261400Z" + "end_time": "2026-02-07T02:34:06.798941Z", + "start_time": "2026-02-07T02:34:06.792642Z" } }, "cell_type": "code", @@ -316,8 +316,8 @@ "id": "b28afe0c64aa59d6", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:34.373170300Z", - "start_time": "2026-02-06T20:51:33.602853400Z" + "end_time": "2026-02-07T02:34:06.945946Z", + "start_time": "2026-02-07T02:34:06.814643Z" } }, "source": [ @@ -349,6 +349,7 @@ "name": "stdout", "output_type": "stream", "text": [ + "❌ Der Import wurde abgebrochen, weil mindestens ein Teil der Punktnummern aus der Datei Daten\\campsnetz_koordinaten_plus_nachmessungen.csv bereits in der Datenbank vorhanden ist. Bitte in der Datei ändern und Import wiederholen.\n", "Ersetzungen in der CSV-Datei (Rundung -> JXL volle Nachkommastellen): {'Hz': 1639, 'Z': 1838, 'SD': 747}\n", "❌ Der Import wurde abgebrochen, weil die Beobachtungen aus der Datei Daten\\campsnetz_beobachtungen_plus_nachmessungen_korrigiert.csv bereits in der Datenbank vorhanden sind.\n" ] @@ -359,8 +360,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:51:34.459063400Z", - "start_time": "2026-02-06T20:51:34.408311300Z" + "end_time": "2026-02-07T02:34:06.957589Z", + "start_time": "2026-02-07T02:34:06.951832Z" } }, "cell_type": "code", @@ -401,8 +402,8 @@ "id": "2d8a0533726304a8", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:52:33.264010600Z", - "start_time": "2026-02-06T20:51:34.487588100Z" + "end_time": "2026-02-07T02:34:18.645712Z", + "start_time": "2026-02-07T02:34:06.965410Z" } }, "source": [ @@ -422,6 +423,12 @@ "name": "stdout", "output_type": "stream", "text": [ + "Anzahl verwendete Punkte für die Helmerttransformation: 68\n", + "Iteration Nr.1 abgeschlossen\n", + "Iteration Nr.2 abgeschlossen\n", + "Iteration Nr.3 abgeschlossen\n", + "Iteration Nr.4 abgeschlossen\n", + "Iteration Nr.5 abgeschlossen\n", "Koordinaten berechnet aus Helmerttransformation:\n", "10001: 3794901.521, 546745.584, 5080065.755\n", "10002: 3794867.011, 546729.617, 5080092.695\n", @@ -508,8 +515,8 @@ "id": "ed9be38e35cfc619", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:52:33.412235200Z", - "start_time": "2026-02-06T20:52:33.374831600Z" + "end_time": "2026-02-07T02:34:18.773210Z", + "start_time": "2026-02-07T02:34:18.767729Z" } }, "source": [ @@ -539,8 +546,8 @@ "id": "2d2156381d974d94", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:52:33.448368Z", - "start_time": "2026-02-06T20:52:33.416556300Z" + "end_time": "2026-02-07T02:34:18.786311Z", + "start_time": "2026-02-07T02:34:18.782159Z" } }, "source": [ @@ -570,8 +577,8 @@ "id": "c2db29680c53f8c4", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T20:52:33.520840500Z", - "start_time": "2026-02-06T20:52:33.451413500Z" + "end_time": "2026-02-07T02:34:18.800728Z", + "start_time": "2026-02-07T02:34:18.793668Z" } }, "source": [ @@ -603,8 +610,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:10:15.067965900Z", - "start_time": "2026-02-06T20:52:33.523126200Z" + "end_time": "2026-02-07T02:47:54.758618Z", + "start_time": "2026-02-07T02:34:18.807811Z" } }, "cell_type": "code", @@ -624,7 +631,25 @@ "name": "stdout", "output_type": "stream", "text": [ - " -> max|dx_xyz| [m] = 3.968064989514741e-06\n", + "Varianzkomponentenschätzung wurde durchgeführt\n", + "\n", + "============================================================\n", + "ITERATION 0\n", + " -> berechne A(x_0)\n", + " -> berechne l0(x_0)\n", + " -> max|dx_xyz| [m] = 0.776858254689872\n", + "\n", + "============================================================\n", + "ITERATION 1\n", + " -> berechne A(x_1)\n", + " -> berechne l0(x_1)\n", + " -> max|dx_xyz| [m] = 0.005556669300664377\n", + "\n", + "============================================================\n", + "ITERATION 2\n", + " -> berechne A(x_2)\n", + " -> berechne l0(x_2)\n", + " -> max|dx_xyz| [m] = 3.968064989513482e-06\n", "\n", "KONVERGENZ ERREICHT (XYZ)\n" ] @@ -635,8 +660,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:10:15.498863100Z", - "start_time": "2026-02-06T21:10:15.146907200Z" + "end_time": "2026-02-07T02:47:54.876401Z", + "start_time": "2026-02-07T02:47:54.833740Z" } }, "cell_type": "code", @@ -665,8 +690,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:10:15.546490700Z", - "start_time": "2026-02-06T21:10:15.514274200Z" + "end_time": "2026-02-07T02:47:54.896508Z", + "start_time": "2026-02-07T02:47:54.892912Z" } }, "cell_type": "code", @@ -680,8 +705,8 @@ "id": "84075bea1f2c44d7", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:10:15.617754700Z", - "start_time": "2026-02-06T21:10:15.570001900Z" + "end_time": "2026-02-07T02:47:54.907471Z", + "start_time": "2026-02-07T02:47:54.904451Z" } }, "source": [ @@ -705,8 +730,8 @@ "id": "1797726c5b3af9bf", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:10:15.662589300Z", - "start_time": "2026-02-06T21:10:15.622758500Z" + "end_time": "2026-02-07T02:47:54.932678Z", + "start_time": "2026-02-07T02:47:54.925330Z" } }, "source": [ @@ -730,8 +755,8 @@ "id": "a2fe23d9a19ac2f9", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:12:34.897099700Z", - "start_time": "2026-02-06T21:12:33.582844100Z" + "end_time": "2026-02-07T02:47:56.287913Z", + "start_time": "2026-02-07T02:47:54.950226Z" } }, "source": [ @@ -20015,15 +20040,15 @@ } } ], - "execution_count": 20 + "execution_count": 19 }, { "cell_type": "code", "id": "14db90a3d4d9118b", "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:12:41.385613500Z", - "start_time": "2026-02-06T21:12:36.165909600Z" + "end_time": "2026-02-07T02:49:38.317072Z", + "start_time": "2026-02-07T02:47:56.376163Z" } }, "source": [ @@ -20032,6 +20057,58 @@ "globaltest = Netzqualitaet_Zuverlaessigkeit.Zuverlaessigkeit.globaltest(r_gesamt=r_gesamt, sigma0_apost=s0_aposteriori, sigma0_apriori=1)" ], "outputs": [ + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
GrößeWert
Freiheitsgrad2911
σ̂₀ a posteriori0.885827
σ₀ a priori1
Signifikanzniveau α0.001
Testgröße T_G0.78469
Kritischer Wert Fₖ1.082962
Nullhypothese H₀angenommen
" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + }, { "name": "stdout", "output_type": "stream", @@ -20041,20 +20118,20 @@ ] } ], - "execution_count": 21 + "execution_count": 20 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:12:50.398709Z", - "start_time": "2026-02-06T21:12:44.318197700Z" + "end_time": "2026-02-07T02:49:43.512866Z", + "start_time": "2026-02-07T02:49:38.442405Z" } }, "cell_type": "code", "source": [ " # Zelle 20: Lokaltest und innere Zuverlässigkeit\n", "# Bei der Auswahl einer GNSS-Komponente, wie z.B. bx werden automatisch die anderen beiden Kompontenen aus-, bzw. abgewählt. Bitte warten, bis dies automatisch durchführt wurde.\n", - "\n", + "importlib.reload(Netzqualitaet_Zuverlaessigkeit)\n", "lokaltest, beta = Netzqualitaet_Zuverlaessigkeit.Zuverlaessigkeit.aufruf_lokaltest(Jacobimatrix_symbolisch_liste_beobachtungsvektor, globaltest[\"alpha\"], ausgabe_parameterschaetzung, ri, s0_aposteriori)\n" ], "id": "f961bf5405be8d34", @@ -20062,12 +20139,166 @@ { "data": { "text/plain": [ - "VBox(children=(, HBox(children=(Button(description='Auswah…" + "" + ], + "text/html": [ + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + }, + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + "\n", + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + }, + { + "data": { + "text/plain": [ + "VBox(children=(, HBox(children=(Button(description='Auswah…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, - "model_id": "9357f3dd56e3486f998a77bfb16cdcd7" + "model_id": "6e837572226d4fbabcc7e859ebf2714b" } }, "metadata": {}, @@ -20077,13 +20308,13 @@ } } ], - "execution_count": 22 + "execution_count": 21 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:12:50.921800Z", - "start_time": "2026-02-06T21:12:50.817580400Z" + "end_time": "2026-02-07T02:49:43.560302Z", + "start_time": "2026-02-07T02:49:43.556554Z" } }, "cell_type": "code", @@ -20102,13 +20333,13 @@ ] } ], - "execution_count": 23 + "execution_count": 22 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:44:35.639437600Z", - "start_time": "2026-02-06T21:44:35.383755800Z" + "end_time": "2026-02-07T02:49:43.618359Z", + "start_time": "2026-02-07T02:49:43.574897Z" } }, "cell_type": "code", @@ -20176,13 +20407,13 @@ } } ], - "execution_count": 56 + "execution_count": 23 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-02-06T21:46:49.349463800Z", - "start_time": "2026-02-06T21:46:49.194792800Z" + "end_time": "2026-02-07T02:49:43.696169Z", + "start_time": "2026-02-07T02:49:43.644345Z" } }, "cell_type": "code", @@ -20202,7 +20433,7 @@ "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, - "model_id": "71be7177b1bc4e3282a0f983c9f65ed3" + "model_id": "eeaf201786c64336af600564a663c513" } }, "metadata": {}, @@ -20212,10 +20443,15 @@ } } ], - "execution_count": 60 + "execution_count": 24 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:49:52.493986Z", + "start_time": "2026-02-07T02:49:43.719178Z" + } + }, "cell_type": "code", "source": [ "# Zelle 24: Parameter der äußeren Zuverlässigkeit\n", @@ -20245,47 +20481,37284 @@ ")" ], "id": "f5c0087e4e0ea3fd", - "outputs": [], - "execution_count": null + "outputs": [ + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " 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BeobachtungStand-PktZiel-Pktr_iEP_GF [mm]EP_grzw [mm]EFSP_3D [mm]EF*SP_3D [mm]
54_SD_1_10009_1000610009100060.9010159.571730e-020.3236161.369604e+003.3185694.545126e+00
55_SD_1_10009_1001010009100100.9012371.801953e-010.3227941.367895e+003.2691444.471845e+00
56_SD_1_10009_1001810009100180.9126322.803371e-020.2843161.278510e+003.2691444.179633e+00
57_SD_1_10009_1000810009100080.8513661.194402e-010.4996771.726543e+003.2691445.644317e+00
58_SD_1_10009_1000610009100060.9010151.286628e-010.3236161.369604e+003.3185694.545126e+00
59_SD_1_10009_1001010009100100.9012371.420611e-010.3227941.367895e+003.2691444.471845e+00
60_SD_1_10009_1001810009100180.9126323.758793e-020.2843161.278510e+003.2691444.179633e+00
61_SD_1_10009_1000810009100080.8513661.108481e-010.4996771.726543e+003.2691445.644317e+00
62_SD_1_10009_1000610009100060.9010156.273916e-020.3236161.369604e+003.3185694.545126e+00
63_SD_1_10009_1001010009100100.9012371.370154e-010.3227941.367895e+003.2691444.471845e+00
64_SD_1_10009_1001810009100180.9126322.323972e-020.2843161.278510e+003.2691444.179633e+00
65_SD_1_10009_1000810009100080.8513666.721760e-020.4996771.726543e+003.2691445.644318e+00
66_SD_2_10006_1000910006100090.9010156.236002e-020.3236161.369604e+003.3185694.545126e+00
67_SD_2_10006_1000510006100050.9205152.698814e-020.2571721.214236e+003.3185694.029524e+00
68_SD_2_10006_1000310006100030.9324221.202743e-020.2186441.112431e+003.3185693.691680e+00
69_SD_2_10006_1000410006100040.9187609.324291e-030.2632601.228738e+003.3185694.077653e+00
71_SD_2_10006_1001810006100180.8852409.817617e-020.3806061.487788e+003.3185694.937327e+00
72_SD_2_10006_1000910006100090.9010157.449297e-020.3236161.369604e+003.3185694.545127e+00
73_SD_2_10006_1000510006100050.9205156.151757e-020.2571721.214236e+003.3185694.029524e+00
74_SD_2_10006_1000310006100030.9324221.890647e-020.2186441.112431e+003.3185693.691680e+00
75_SD_2_10006_1000410006100040.9187607.743247e-020.2632601.228738e+003.3185694.077653e+00
77_SD_2_10006_1001810006100180.8852401.305568e-010.3806061.487788e+003.3185694.937327e+00
78_SD_2_10006_1000910006100090.9010156.903436e-020.3236161.369604e+003.3185694.545127e+00
79_SD_2_10006_1000510006100050.9205153.127585e-020.2571721.214236e+003.3185694.029524e+00
80_SD_2_10006_1000310006100030.9324223.341406e-020.2186441.112431e+003.3185693.691681e+00
81_SD_2_10006_1000410006100040.9187602.836694e-020.2632601.228738e+003.3185694.077653e+00
83_SD_2_10006_1001810006100180.8852401.305942e-010.3806061.487788e+003.3185694.937327e+00
84_SD_3_10008_1000910008100090.8513661.436079e-010.4996771.726543e+003.2691445.644318e+00
85_SD_3_10008_1000710008100070.8663553.219262e-020.4464911.622949e+003.2553075.283198e+00
86_SD_3_10008_1000510008100050.8525328.143906e-020.4955061.718582e+003.2918605.657331e+00
87_SD_3_10008_1000910008100090.8513661.620689e-010.4996771.726543e+003.2691445.644318e+00
88_SD_3_10008_1000710008100070.8663551.673406e-020.4464911.622949e+003.2553075.283198e+00
89_SD_3_10008_1000510008100050.8525325.867976e-020.4955061.718582e+003.2918605.657331e+00
90_SD_3_10008_1000910008100090.8513661.011613e-010.4996771.726543e+003.2691445.644318e+00
91_SD_3_10008_1000710008100070.8663551.261333e-030.4464911.622949e+003.2553075.283198e+00
92_SD_3_10008_1000510008100050.8525327.208836e-020.4955061.718582e+003.2918605.657331e+00
93_SD_4_10005_1000810005100080.8525321.039041e-020.4955061.718582e+003.2918605.657331e+00
94_SD_4_10005_1000310005100030.9378121.213810e-020.1996951.064070e+003.2918603.502768e+00
95_SD_4_10005_1000110005100010.9232219.559262e-030.2514031.191638e+003.3398293.979867e+00
96_SD_4_10005_1000210005100020.9354303.932152e-020.2083731.085642e+003.3371343.622931e+00
97_SD_4_10005_1000410005100040.8730762.334072e-020.4212601.575514e+003.3101835.215240e+00
98_SD_4_10005_1000610005100060.9205154.782341e-020.2571721.214235e+003.3185694.029524e+00
99_SD_4_10005_1000810005100080.8525321.734434e-030.4955061.718582e+003.2918605.657331e+00
100_SD_4_10005_1000310005100030.9378122.537563e-020.1996951.064070e+003.2918603.502768e+00
101_SD_4_10005_1000110005100010.9232212.192746e-020.2514031.191638e+003.3398293.979867e+00
102_SD_4_10005_1000210005100020.9354303.250411e-020.2083731.085642e+003.3371343.622932e+00
103_SD_4_10005_1000410005100040.8730766.188253e-020.4212601.575514e+003.3101835.215239e+00
104_SD_4_10005_1000610005100060.9205153.487806e-020.2571721.214235e+003.3185694.029524e+00
105_SD_4_10005_1000810005100080.8525326.228713e-020.4955061.718582e+003.2918605.657331e+00
106_SD_4_10005_1000310005100030.9378128.719658e-030.1996951.064070e+003.2918603.502768e+00
107_SD_4_10005_1000110005100010.9232213.029617e-020.2514031.191638e+003.3398293.979867e+00
108_SD_4_10005_1000210005100020.9354307.671757e-020.2083731.085642e+003.3371343.622931e+00
109_SD_4_10005_1000410005100040.8730762.044633e-020.4212601.575514e+003.3101835.215240e+00
110_SD_4_10005_1000610005100060.9205154.349966e-020.2571721.214235e+003.3185694.029524e+00
111_SD_5_10004_1000510004100050.8730764.328494e-020.4212601.575514e+003.3101835.215240e+00
112_SD_5_10004_1000310004100030.9145893.268511e-020.2775191.262758e+003.3101834.179960e+00
113_SD_5_10004_1000210004100020.9230635.067518e-030.2495921.192969e+003.3371343.981098e+00
114_SD_5_10004_1000610004100060.9187601.620436e-020.2632601.228738e+003.3185694.077652e+00
115_SD_5_10004_1000510004100050.8730764.760215e-020.4212601.575514e+003.3101835.215240e+00
116_SD_5_10004_1000310004100030.9145891.401947e-020.2775191.262758e+003.3101834.179960e+00
117_SD_5_10004_1000210004100020.9230631.131930e-020.2495921.192969e+003.3371343.981098e+00
118_SD_5_10004_1000610004100060.9187602.512100e-020.2632601.228738e+003.3185694.077652e+00
119_SD_5_10004_1000510004100050.8730764.757015e-020.4212601.575514e+003.3101835.215240e+00
120_SD_5_10004_1000310004100030.9145891.404475e-020.2775191.262758e+003.3101834.179960e+00
121_SD_5_10004_1000210004100020.9230635.071544e-030.2495921.192969e+003.3371343.981098e+00
122_SD_5_10004_1000610004100060.9187601.620382e-020.2632601.228738e+003.3185694.077652e+00
123_SD_6_10003_1000410003100040.9145894.082987e-020.2775191.262758e+003.3101834.179960e+00
124_SD_6_10003_1000610003100060.9324221.939364e-020.2186441.112431e+003.3185693.691680e+00
125_SD_6_10003_1000510003100050.9378121.365896e-020.1996951.064070e+003.2918603.502768e+00
126_SD_6_10003_1000710003100070.8993478.706196e-020.3292751.382375e+003.2744824.526563e+00
127_SD_6_10003_1001610003100160.8984211.154282e-010.3331041.389435e+003.2744824.549679e+00
128_SD_6_10003_1000110003100010.9208721.220996e-020.2568481.211275e+003.3398294.045452e+00
129_SD_6_10003_1000210003100020.9115762.659476e-020.2874071.286960e+003.3371344.294757e+00
130_SD_6_10003_1000410003100040.9145893.034866e-030.2775191.262758e+003.3101834.179960e+00
131_SD_6_10003_1000610003100060.9324225.925914e-020.2186441.112431e+003.3185693.691680e+00
132_SD_6_10003_1000510003100050.9378122.688107e-020.1996951.064070e+003.2918603.502768e+00
133_SD_6_10003_1000710003100070.8993478.535568e-020.3292751.382375e+003.2744824.526563e+00
134_SD_6_10003_1001610003100160.8984211.380748e-010.3331041.389435e+003.2744824.549679e+00
135_SD_6_10003_1000110003100010.9208723.755087e-020.2568481.211275e+003.3398294.045452e+00
136_SD_6_10003_1000210003100020.9115764.598259e-020.2874071.286960e+003.3371344.294757e+00
137_SD_6_10003_1000410003100040.9145892.637438e-020.2775191.262758e+003.3101834.179960e+00
138_SD_6_10003_1000610003100060.9324223.021817e-020.2186441.112431e+003.3185693.691680e+00
139_SD_6_10003_1000510003100050.9378123.031945e-030.1996951.064070e+003.2918603.502768e+00
140_SD_6_10003_1000710003100070.8993475.008732e-020.3292751.382375e+003.2744824.526563e+00
141_SD_6_10003_1001610003100160.8984211.323973e-010.3331041.389435e+003.2744824.549679e+00
142_SD_6_10003_1000110003100010.9208711.016633e-020.2568481.211275e+003.3398294.045452e+00
143_SD_6_10003_1000210003100020.9115764.113073e-020.2874071.286960e+003.3371344.294757e+00
144_SD_7_10002_1000310002100030.9115761.688170e-020.2874071.286960e+003.3371344.294757e+00
145_SD_7_10002_1000110002100010.9085341.624358e-020.2980501.311100e+003.3398294.378850e+00
146_SD_7_10002_1000410002100040.9230624.176208e-020.2495921.192970e+003.3371343.981099e+00
147_SD_7_10002_1000610002100060.9175032.986727e-020.2704831.239053e+003.3371344.134886e+00
148_SD_7_10002_1000510002100050.9354301.212232e-030.2083731.085642e+003.3371343.622932e+00
149_SD_7_10002_1000310002100030.9115763.726447e-020.2874071.286960e+003.3371344.294758e+00
150_SD_7_10002_1000110002100010.9085341.121937e-030.2980501.311100e+003.3398294.378850e+00
151_SD_7_10002_1000410002100040.9230624.591303e-020.2495921.192970e+003.3371343.981099e+00
152_SD_7_10002_1000610002100060.9175031.990369e-020.2704831.239053e+003.3371344.134886e+00
153_SD_7_10002_1000510002100050.9354301.710854e-020.2083731.085642e+003.3371343.622932e+00
154_SD_7_10002_1000310002100030.9115762.172628e-020.2874071.286960e+003.3371344.294757e+00
155_SD_7_10002_1000110002100010.9085341.622221e-020.2980501.311100e+003.3398294.378850e+00
156_SD_7_10002_1000410002100040.9230638.460421e-030.2495921.192969e+003.3371343.981099e+00
157_SD_7_10002_1000610002100060.9175031.604473e-020.2704831.239053e+003.3371344.134886e+00
158_SD_7_10002_1000510002100050.9354302.297253e-030.2083731.085642e+003.3371343.622932e+00
159_SD_8_10001_1000210001100020.9085346.926562e-020.2980501.311100e+003.3398294.378850e+00
160_SD_8_10001_1000510001100050.9232212.469336e-020.2514021.191638e+003.3398293.979866e+00
161_SD_8_10001_1000310001100030.9208722.189332e-020.2568481.211275e+003.3398294.045452e+00
162_SD_8_10001_1001110001100110.8433732.606527e-020.5320181.780736e+003.3398295.947353e+00
163_SD_8_10001_1000210001100020.9085343.890075e-020.2980501.311100e+003.3398294.378850e+00
164_SD_8_10001_1000510001100050.9232213.357929e-020.2514031.191638e+003.3398293.979867e+00
165_SD_8_10001_1000310001100030.9208711.511436e-020.2568481.211275e+003.3398294.045452e+00
166_SD_8_10001_1001110001100110.8433734.441597e-020.5320181.780736e+003.3398295.947354e+00
167_SD_8_10001_1000210001100020.9085343.966212e-020.2980501.311100e+003.3398294.378850e+00
168_SD_8_10001_1000510001100050.9232211.578717e-040.2514031.191638e+003.3398293.979867e+00
169_SD_8_10001_1000310001100030.9208712.965878e-020.2568481.211275e+003.3398294.045452e+00
170_SD_8_10001_1001110001100110.8433735.324911e-020.5320181.780736e+003.3398295.947354e+00
171_SD_9_10010_1000610010100060.8786288.082177e-020.4026421.535793e+003.3185695.096635e+00
172_SD_9_10010_1002610010100260.9246004.829215e-020.2438251.180010e+003.2629573.850323e+00
173_SD_9_10010_1002710010100270.9275805.882765e-040.2352381.154593e+003.2629573.767389e+00
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100030.0017810.0013280.0024050.003274
100040.0018160.0013510.0024160.003310
100070.0017430.0013060.0023880.003232
100010.0017670.0015000.0024050.003340
100020.0017890.0014560.0024120.003337
100160.0017040.0013060.0023660.003195
100110.0016900.0014910.0023580.003262
100260.0017010.0013490.0023570.003204
100270.0017100.0013410.0023660.003213
100430.0017440.0013530.0023840.003249
100440.0017600.0013360.0023940.003259
100210.0017010.0013860.0023580.003221
100200.0017000.0013810.0023580.003218
100240.0017210.0013950.0023690.003244
100250.0017090.0013840.0023660.003230
100220.0017140.0013850.0023640.003232
100230.0017120.0013840.0023640.003230
100190.0016970.0013520.0023570.003204
100330.0017110.0013390.0023650.003212
100520.0018050.0013560.0024170.003308
100420.0017500.0013480.0023880.003253
100530.0018560.0013520.0024400.003350
100370.0017670.0013250.0023930.003256
100400.0017650.0013610.0023930.003270
100410.0017500.0013520.0023880.003255
100380.0017540.0013280.0023870.003246
100510.0018110.0013570.0024180.003312
100360.0017870.0013540.0023990.003284
100350.0017780.0014000.0023920.003293
100390.0017390.0013270.0023790.003231
100590.0019860.0013690.0025050.003477
100500.0018510.0013630.0024330.003347
100130.0016930.0013730.0023590.003211
100170.0016840.0013070.0023540.003176
100280.0017360.0015030.0023730.003302
100120.0016850.0013620.0023590.003203
100140.0016790.0013020.0023540.003171
100310.0017120.0013160.0023660.003203
100150.0017080.0013170.0023670.003203
100320.0017240.0013260.0023710.003218
100300.0017340.0013960.0023730.003254
100290.0017400.0014000.0023760.003261
100340.0017890.0015170.0023920.003350
100450.0018850.0015370.0024310.003439
100490.0018700.0014250.0024380.003387
100470.0019140.0014910.0024900.003476
100460.0018670.0014990.0024300.003412
100480.0018660.0014320.0024340.003385
100570.0020010.0014230.0024960.003501
100550.0020190.0014830.0024950.003536
100540.0020440.0016080.0024930.003603
100580.0020280.0014450.0025160.003540
100560.0020470.0014630.0025100.003554
8120.0018780.0017530.0024400.003543
8160.0018880.0014900.0024430.003428
FH30.0018840.0018580.0024380.003598
6660.0020330.0018250.0024960.003700
FH110.0018150.0015490.0024020.003386
FH140.0018100.0015150.0024020.003368
FH40.0018660.0014120.0024420.003382
FH130.0017730.0013420.0024010.003272
FH150.0018240.0016930.0023950.003454
06450.0022150.0018370.0033200.004394
06560.0017350.0013360.0024940.003319
09950.0021980.0017760.0031900.004262
16750.0021420.0016840.0030750.004109
ESTE0.0021390.0016830.0030540.004091
GNA20.0020550.0016410.0029710.003967
" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 26 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:49:56.096985Z", + "start_time": "2026-02-07T02:49:56.052980Z" + } + }, "cell_type": "code", "source": [ - "# Zelle 26: Standardellipse (Helmert'sche Fehlerellipsen)\n", + "# Zelle 26: standardellipsoid\n", "\n", - "Standardellipse = Netzqualitaet_Genauigkeit.Genauigkeitsmaße.standardellipse(ausgabe_parameterschaetzung[\"Q_xx\"], s0_aposteriori, Jacobimatrix_symbolisch_liste_unbekannte)" + "Standardellipsoid = Netzqualitaet_Genauigkeit.Genauigkeitsmaße.standardellipsoid(ausgabe_parameterschaetzung[\"Q_xx\"], s0_aposteriori, Jacobimatrix_symbolisch_liste_unbekannte)" ], "id": "bb1c48c83be1b1e7", - "outputs": [], - "execution_count": null + "outputs": [ + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", 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Punktσx [m]σy [m]σz [m]Halbachse a [m]Halbachse b [m]Halbachse c [m]θ [gon]
100090.00180.00130.00240.00250.00170.00130.768
100060.00180.00140.00240.00250.00180.0013197.998
100100.00180.00140.00240.00240.00170.00132.006
100180.00170.00130.00240.00240.00170.00135.365
100080.00180.00130.00240.00240.00170.00133.244
100050.00180.00130.00240.00250.00170.00134.267
100030.00180.00130.00240.00250.00170.001311.104
100040.00180.00140.00240.00250.00180.00135.292
100070.00170.00130.00240.00240.00170.00137.847
100010.00180.00150.00240.00250.00180.001423.033
100020.00180.00150.00240.00250.00180.001416.908
100160.00170.00130.00240.00240.00160.00137.819
100110.00170.00150.00240.00240.00160.001514.774
100260.00170.00130.00240.00240.00160.00137.061
100270.00170.00130.00240.00240.00160.001310.565
100430.00170.00140.00240.00240.00170.001312.787
100440.00180.00130.00240.00240.00170.001314.049
100210.00170.00140.00240.00240.00160.00148.144
100200.00170.00140.00240.00240.00160.00149.397
100240.00170.00140.00240.00240.00160.001411.206
100250.00170.00140.00240.00240.00160.001411.536
100220.00170.00140.00240.00240.00160.00148.985
100230.00170.00140.00240.00240.00160.00149.126
100190.00170.00140.00240.00240.00160.00139.811
100330.00170.00130.00240.00240.00160.00138.845
100520.00180.00140.00240.00250.00180.001315.560
100420.00180.00130.00240.00240.00170.001312.484
100530.00190.00140.00240.00250.00180.001314.877
100370.00180.00130.00240.00240.00170.00138.150
100400.00180.00140.00240.00240.00170.00139.712
100410.00180.00140.00240.00240.00170.001312.670
100380.00180.00130.00240.00240.00170.00138.569
100510.00180.00140.00240.00250.00180.001313.916
100360.00180.00140.00240.00250.00170.00134.850
100350.00180.00140.00240.00240.00170.00140.256
100390.00170.00130.00240.00240.00170.00138.687
100590.00200.00140.00250.00250.00200.001315.414
100500.00190.00140.00240.00250.00180.001310.961
100130.00170.00140.00240.00240.00160.001410.115
100170.00170.00130.00240.00240.00160.00139.996
100280.00170.00150.00240.00240.00160.0015199.889
100120.00170.00140.00240.00240.00160.001312.530
100140.00170.00130.00240.00240.00160.00139.391
100310.00170.00130.00240.00240.00160.00138.518
100150.00170.00130.00240.00240.00160.00138.302
100320.00170.00130.00240.00240.00160.00139.611
100300.00170.00140.00240.00240.00160.00143.412
100290.00170.00140.00240.00240.00160.00144.688
100340.00180.00150.00240.00240.00170.0015189.380
100450.00190.00150.00240.00250.00190.0015185.478
100490.00190.00140.00240.00250.00180.00147.100
100470.00190.00150.00250.00250.00190.0015199.304
100460.00190.00150.00240.00250.00180.0015195.253
100480.00190.00140.00240.00250.00180.00143.203
100570.00200.00140.00250.00250.00200.00141.740
100550.00200.00150.00250.00250.00200.0015192.432
100540.00200.00160.00250.00250.00210.0015178.120
100580.00200.00140.00250.00250.00200.00149.322
100560.00200.00150.00250.00250.00200.0014195.053
8120.00190.00180.00240.00250.00180.00182.434
8160.00190.00150.00240.00250.00190.00152.075
FH30.00190.00190.00240.00250.00190.0018161.127
6660.00200.00180.00250.00250.00210.0017172.041
FH110.00180.00150.00240.00250.00180.0015188.453
FH140.00180.00150.00240.00250.00180.0015193.534
FH40.00190.00140.00240.00250.00190.001416.056
FH130.00180.00130.00240.00250.00170.00137.308
FH150.00180.00170.00240.00250.00190.0016166.299
06450.00220.00180.00330.00340.00220.001812.942
06560.00170.00130.00250.00260.00160.00138.179
09950.00220.00180.00320.00330.00210.00186.854
16750.00210.00170.00310.00320.00200.00177.540
ESTE0.00210.00170.00310.00310.00200.00178.051
GNA20.00210.00160.00300.00310.00200.001611.634
" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 27 }, { "cell_type": "code", "id": "7de561d7eaebb1c2", - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:51:05.718029Z", + "start_time": "2026-02-07T02:51:01.264646Z" + } + }, "source": [ - "# Zelle 27: Konfidenzellipsen\n", + "# Zelle 27: Konfidenzellipoide\n", "\n", - "Konfidenzellipse = Netzqualitaet_Genauigkeit.Genauigkeitsmaße.konfidenzellipse(ausgabe_parameterschaetzung[\"Q_xx\"], s0_aposteriori, Jacobimatrix_symbolisch_liste_unbekannte, r_gesamt, False)" + "Konfidenzellipoid = Netzqualitaet_Genauigkeit.Genauigkeitsmaße.konfidenzellipsoid(ausgabe_parameterschaetzung[\"Q_xx\"], s0_aposteriori, Jacobimatrix_symbolisch_liste_unbekannte, r_gesamt, False)" ], - "outputs": [], - "execution_count": null + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "→ Verwende alpha = 0.05 (Konfidenz = 95.0%)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " 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Punktσx [m]σy [m]σz [m]Halbachse a_k [m]Halbachse b_k [m]Halbachse c_k [m]θ [gon]
100090.0017730.0013450.0023950.0068560.0047520.0037460.767902
100060.0018300.0013520.0024160.0068760.0049800.003753197.998072
100100.0017660.0013520.0023870.0068450.0047170.0037682.005953
100180.0017430.0013420.0023790.0068370.0046250.0037415.364800
100080.0017550.0013420.0023910.0068520.0046860.0037423.243813
100050.0018020.0013370.0024090.0068670.0048710.0037284.267440
100030.0017810.0013280.0024050.0068640.0048320.00366411.103946
100040.0018160.0013510.0024160.0068750.0049280.0037665.292195
100070.0017430.0013060.0023880.0068480.0046530.0036307.846592
100010.0017670.0015000.0024050.0068660.0049030.00401123.033129
100020.0017890.0014560.0024120.0068730.0049100.00397316.907833
100160.0017040.0013060.0023660.0068290.0044770.0036347.819463
100110.0016900.0014910.0023580.0068220.0044450.00411814.773659
100260.0017010.0013490.0023570.0068180.0044400.0037597.060638
100270.0017100.0013410.0023660.0068270.0045100.00371410.565323
100430.0017440.0013530.0023840.0068420.0046810.00372312.787076
100440.0017600.0013360.0023940.0068520.0047710.00365614.049277
100210.0017010.0013860.0023580.0068190.0044470.0038608.143899
100200.0017000.0013810.0023580.0068190.0044480.0038399.396856
100240.0017210.0013950.0023690.0068280.0045550.00386611.205794
100250.0017090.0013840.0023660.0068270.0045090.00383311.535635
100220.0017140.0013850.0023640.0068240.0045080.0038538.984649
100230.0017120.0013840.0023640.0068240.0044990.0038489.125618
100190.0016970.0013520.0023570.0068190.0044400.0037539.811281
100330.0017110.0013390.0023650.0068260.0045000.0037218.845251
100520.0018050.0013560.0024170.0068760.0049760.00368315.559807
100420.0017500.0013480.0023880.0068460.0047070.00371112.484439
100530.0018560.0013520.0024400.0069020.0051670.00366914.876971
100370.0017670.0013250.0023930.0068500.0047430.0036818.150204
100400.0017650.0013610.0023930.0068500.0047440.0037749.712123
100410.0017500.0013520.0023880.0068460.0047070.00372412.669542
100380.0017540.0013280.0023870.0068440.0046890.0036888.568781
100510.0018110.0013570.0024180.0068750.0049760.00371113.915767
100360.0017870.0013540.0023990.0068560.0048060.0037754.849542
100350.0017780.0014000.0023920.0068500.0047660.0039000.256330
100390.0017390.0013270.0023790.0068370.0046220.0036878.687446
100590.0019860.0013690.0025050.0070170.0056430.00367815.414485
100500.0018510.0013630.0024330.0068930.0050990.00376010.961485
100130.0016930.0013730.0023590.0068210.0044300.00381210.114830
100170.0016840.0013070.0023540.0068180.0043930.0036259.996397
100280.0017360.0015030.0023730.0068330.0045920.004187199.888576
100120.0016850.0013620.0023590.0068230.0044250.00375912.529956
100140.0016790.0013020.0023540.0068180.0043730.0036139.391359
100310.0017120.0013160.0023660.0068260.0045050.0036568.517584
100150.0017080.0013170.0023670.0068290.0044940.0036628.302359
100320.0017240.0013260.0023710.0068300.0045650.0036779.610670
100300.0017340.0013960.0023730.0068320.0045800.0038943.412141
100290.0017400.0014000.0023760.0068350.0046050.0039064.687811
100340.0017890.0015170.0023920.0068510.0048600.004154189.379855
100450.0018850.0015370.0024310.0068970.0052560.004163185.477805
100490.0018700.0014250.0024380.0068990.0051400.0039687.100066
100470.0019140.0014910.0024900.0071030.0051820.004151199.304437
100460.0018670.0014990.0024300.0068910.0051250.004160195.253313
100480.0018660.0014320.0024340.0068950.0051130.0039973.203130
100570.0020010.0014230.0024960.0069960.0055840.0039711.739663
100550.0020190.0014830.0024950.0070050.0056600.004087192.431540
100540.0020440.0016080.0024930.0070380.0058730.004187178.120431
100580.0020280.0014450.0025160.0070400.0057010.0039979.322322
100560.0020470.0014630.0025100.0070360.0057330.004054195.053435
8120.0018780.0017530.0024400.0069010.0051540.0049022.433775
8160.0018880.0014900.0024430.0069060.0051890.0041612.074637
FH30.0018840.0018580.0024380.0069000.0053050.005055161.126680
6660.0020330.0018250.0024960.0070200.0058390.004872172.041065
FH110.0018150.0015490.0024020.0068610.0049620.004243188.453298
FH140.0018100.0015150.0024020.0068600.0049110.004189193.534146
FH40.0018660.0014120.0024420.0069040.0052120.00383116.056062
FH130.0017730.0013420.0024010.0068610.0047700.0037357.308324
FH150.0018240.0016930.0023950.0068550.0052260.004362166.299123
06450.0022150.0018370.0033200.0094130.0060560.00507712.942061
06560.0017350.0013360.0024940.0071860.0045560.0037148.179004
09950.0021980.0017760.0031900.0091220.0058650.0049506.853881
16750.0021420.0016840.0030750.0088220.0056790.0046907.539897
ESTE0.0021390.0016830.0030540.0087800.0056480.0046848.050521
GNA20.0020550.0016410.0029710.0085320.0054580.00453511.634130
" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 29 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:51:21.244857Z", + "start_time": "2026-02-07T02:51:16.703322Z" + } + }, "cell_type": "code", "source": [ "# Zelle 28: Konfidenzellipsen im ENU-System\n", @@ -20293,11 +57766,795 @@ "Konfidenzellipse_ENU, R0 = Netzqualitaet_Genauigkeit.Genauigkeitsmaße.konfidenzellipsen_enu(a, b, ausgabe_parameterschaetzung, Jacobimatrix_symbolisch_liste_unbekannte, dict_koordinaten_ausgleichungsergebnis, s0_aposteriori, r_gesamt)" ], "id": "ddc157c0ff21c93e", - "outputs": [], - "execution_count": null + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ENU-Referenz (Schwerpunkt): B0=59.04469348 rad, L0=9.11653846 rad\n", + "→ Verwende alpha = 0.05 (Konfidenz = 95.0%)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ], + "text/html": [ + "\n", + " 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PunktσE [m]σN [m]σU [m]Halbachse a_k [m]Halbachse b_k [m]Halbachse c_k [m]θ_EN [gon]
100090.0013530.0017930.0023750.00690.00480.003790.9006
100060.0013680.0018710.0023750.00690.00500.003888.2725
100100.0013570.0017790.0023750.00680.00470.003892.0911
100180.0013400.0017490.0023760.00680.00460.003796.0586
100080.0013450.0017740.0023750.00690.00470.003793.6273
100050.0013380.0018450.0023750.00690.00490.003794.9801
100030.0013110.0018330.0023750.00690.00480.0037102.9037
100040.0013490.0018690.0023750.00690.00490.003896.2442
100070.0012980.0017660.0023750.00680.00470.003699.2034
100010.0014690.0018310.0023750.00690.00490.0040116.0291
100020.0014330.0018540.0023760.00690.00490.0040109.2494
100160.0012990.0016970.0023750.00680.00450.003699.1796
100110.0014800.0016760.0023760.00680.00440.0041109.9518
100260.0013440.0016790.0023750.00680.00440.003898.0751
100270.0013290.0017060.0023760.00680.00450.0037102.5997
100430.0013350.0017690.0023760.00680.00470.0037105.0609
100440.0013130.0018030.0023750.00690.00480.0037106.2345
100210.0013800.0016820.0023750.00680.00440.003999.6216
100200.0013730.0016820.0023750.00680.00440.0038101.2300
100240.0013830.0017220.0023750.00680.00460.0039103.5082
100250.0013720.0017050.0023750.00680.00450.0038103.9646
100220.0013780.0017050.0023750.00680.00450.0039100.6581
100230.0013760.0017020.0023750.00680.00450.0038100.8096
100190.0013420.0016790.0023750.00680.00440.0038101.8476
100330.0013310.0017030.0023750.00680.00450.0037100.4317
100520.0013280.0018800.0023760.00690.00500.0037107.5695
100420.0013300.0017810.0023750.00680.00470.0037104.5115
100530.0013210.0019580.0023750.00690.00520.0037106.4739
100370.0013160.0017970.0023750.00680.00470.003799.3582
100400.0013490.0017970.0023750.00680.00470.0038101.1470
100410.0013350.0017810.0023750.00680.00470.0037104.7140
100380.0013180.0017760.0023750.00680.00470.003799.8867
100510.0013330.0018840.0023750.00690.00500.0037105.7083
100360.0013530.0018180.0023760.00690.00480.003895.5754
100350.0014080.0017940.0023750.00680.00480.003990.3318
100390.0013180.0017500.0023750.00680.00460.0037100.0980
100590.0013270.0021650.0023760.00700.00560.0037106.4276
100500.0013450.0019370.0023750.00690.00510.0038102.3257
100130.0013640.0016770.0023750.00680.00440.0038103.0285
100170.0012960.0016630.0023750.00680.00440.0036102.2699
100280.0015080.0017280.0023750.00680.00460.004289.7562
100120.0013480.0016740.0023750.00680.00440.0038106.2429
100140.0012920.0016570.0023750.00680.00440.0036101.7310
100310.0013070.0017050.0023750.00680.00450.0037100.1257
100150.0013090.0017030.0023750.00680.00450.0037100.1580
100320.0013150.0017270.0023750.00680.00460.0037101.3221
100300.0013980.0017290.0023750.00680.00460.003993.6671
100290.0014000.0017410.0023750.00680.00460.003995.3179
100340.0015370.0017940.0023750.00690.00490.004278.9859
100450.0015710.0019270.0023750.00690.00530.004277.0051
100490.0014190.0019540.0023750.00690.00510.004098.2652
100470.0015020.0019360.0024650.00710.00520.004289.1959
100460.0015170.0019220.0023760.00690.00510.004286.3396
100480.0014350.0019380.0023760.00690.00510.004094.2301
100570.0014320.0021360.0023760.00700.00560.004093.1663
100550.0015180.0021340.0023760.00700.00570.004184.5558
100540.0016740.0021290.0023760.00700.00590.004271.8565
100580.0014290.0022000.0023760.00700.00570.0040100.4675
100560.0014930.0021810.0023760.00700.00570.004187.0675
8120.0017550.0019570.0023760.00690.00520.004995.9764
8160.0014950.0019670.0023760.00690.00520.004293.3439
FH30.0018690.0019520.0023760.00690.00530.005174.7439
6660.0018670.0021360.0023760.00700.00580.004970.6551
FH110.0015700.0018320.0023760.00690.00500.004278.8630
FH140.0015310.0018310.0023760.00690.00490.004283.8464
FH40.0013810.0019720.0023750.00690.00520.0038107.5830
FH130.0013360.0018110.0023750.00690.00480.003798.6089
FH150.0017300.0018150.0023750.00690.00520.004458.4739
06450.0018200.0024150.0031870.00940.00610.0051105.1803
06560.0013280.0017500.0024880.00720.00460.003799.3177
09950.0017710.0022810.0031340.00910.00590.004997.3540
16750.0016770.0021910.0030440.00880.00570.004799.1387
ESTE0.0016750.0021700.0030370.00880.00560.004799.3075
GNA20.0016250.0021040.0029450.00850.00550.0045105.0001
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N=307.1830 m
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N=138.2363 m
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N=201.7184 m
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E=-90.0695\n", + " m
N=248.5204 m
U=9.5964 m, Punkt\n", + " 10058
E=-71.9868 m
N=289.4626 m
U=9.6957 m,\n", + " Punkt 10059
E=-79.8906 m
N=328.0202 m
U=9.8564\n", + " m, Punkt 1675
E=15956.8107 m
N=-26442.5608\n", + " m
U=-36.1591 m, Punkt 666
E=-96.6073\n", + " m
N=165.0568 m
U=9.6133 m, Punkt\n", + " 812
E=-163.7429 m
N=199.3775 m
U=9.7185 m,\n", + " Punkt 816
E=-165.5093 m
N=240.9758 m
U=9.7133\n", + " m, Punkt ESTE
E=-42283.8688 m
N=-20180.6655\n", + " m
U=-135.7931 m, Punkt FH11
E=-201.6415\n", + " m
N=202.9619 m
U=9.7834 m, Punkt\n", + " FH13
E=-414.9897 m
N=267.9988 m
U=10.2538 m,\n", + " Punkt FH14
E=-202.1179 m
N=202.4189 m
U=9.8375\n", + " m, Punkt FH15
E=-294.6941 m
N=294.8926\n", + " m
U=10.4439 m, Punkt FH3
E=-156.0527\n", + " m
N=248.4835 m
U=10.4283 m, Punkt\n", + " FH4
E=-178.2734 m
N=299.9444 m
U=10.4428 m,\n", + " Punkt GNA2
E=54192.3257 m
N=24704.5580\n", + " m
U=-254.2182 m],\n", + " 'marker': {'color': 'black', 'size': 8},\n", + " 'mode': 'markers+text',\n", + " 'name': 'Netzpunkte',\n", + " 'text': [0645, 0656, 0995, 10001, 10002, 10003, 10004, 10005, 10006,\n", + " 10007, 10008, 10009, 10010, 10011, 10012, 10013, 10014,\n", + " 10015, 10016, 10017, 10018, 10019, 10020, 10021, 10022,\n", + " 10023, 10024, 10025, 10026, 10027, 10028, 10029, 10030,\n", + " 10031, 10032, 10033, 10034, 10035, 10036, 10037, 10038,\n", + " 10039, 10040, 10041, 10042, 10043, 10044, 10045, 10046,\n", + " 10047, 10048, 10049, 10050, 10051, 10052, 10053, 10054,\n", + " 10055, 10056, 10057, 10058, 10059, 1675, 666, 812, 816,\n", + " ESTE, FH11, FH13, FH14, FH15, FH3, FH4, GNA2],\n", + " 'textposition': 'top center',\n", + " 'type': 'scatter',\n", + " 'uid': 'f42e4737-ae05-44d2-a23b-3e0a7a56d0be',\n", + " 'x': [-50770.0582306675, -177.6878083756096, 40987.14483240216,\n", + " -433.8668328724431, -444.74070319887574, -435.5880875060455,\n", + " -450.98092276876804, -441.50972032462516, -452.11717938177435,\n", + " -410.78968982123484, -416.01092035710946, -420.1598136722217,\n", + " -391.6024125769326, -346.28161167283577, -367.9629588558394,\n", + " -345.98938574073065, -358.783854170711, -377.5550156863763,\n", + " -380.46579697173365, -337.68154961670797, -362.3962353126014,\n", + " -332.5235955208458, -328.8968218797964, -328.6810696178858,\n", + " -321.0814101416639, -315.1451316627772, -305.10495200534945,\n", + " -290.73819930123034, -331.75291731833397, -285.8736376613642,\n", + " -270.65699316704627, -258.19785063624084, -271.96648652100777,\n", + " -291.8360729392577, -279.0229650584462, -291.6021434925727,\n", + " -213.756620333782, -212.17466123321114, -199.76848541158452,\n", + " -206.47147987236124, -238.03888992920756, -252.52467698002783,\n", + " -207.9121819614179, -237.81083071761256, -223.9877643429287,\n", + " -240.03671472745287, -202.03505382454205, -159.617452041296,\n", + " -161.13890943376865, -153.84308749176432, -151.99284749200314,\n", + " -144.79162680890497, -150.42354961562359, -174.0208611277176,\n", + " -174.9200102929782, -142.73746493066653, -94.15325527795927,\n", + " -91.80681696647775, -77.56471237009436, -90.06947948413274,\n", + " -71.98678905733692, -79.89055667816633, 15956.810727156555,\n", + " -96.60734433312689, -163.74287132652896, -165.5092566187636,\n", + " -42283.868776551506, -201.64153297373807, -414.98968263455373,\n", + " -202.11787518237094, -294.69410025087126, -156.05266424959476,\n", + " -178.27342764757842, 54192.32572711194],\n", + " 'y': [10258.913776395624, 235.6959259268875, -6878.699769308241,\n", + " 183.89536079549603, 229.21250096633395, 260.4495492730769,\n", + " 310.5172561892116, 321.127936050059, 357.652703391177,\n", + " 268.74783688526713, 329.14315530711457, 350.7926873557013,\n", + " 356.7521337999816, 176.35112270544658, 232.52470847035167,\n", + " 233.5148566449035, 249.64581553616148, 252.17164898414813,\n", + " 268.91728830437853, 263.2209036651524, 347.16689687732384,\n", + " 293.7783502720233, 315.48020350943, 323.7611273039764,\n", + " 319.3799608944663, 315.29773742086945, 323.53567478730344,\n", + " 319.26848475934725, 352.28449571628886, 339.31553351212295,\n", + " 169.31946921934335, 223.31656672905945, 225.37556387274444,\n", + " 258.9755126592052, 274.16916378625916, 286.4195715866788,\n", + " 163.57847439725126, 214.2640870538548, 250.9929322339438,\n", + " 270.41335522813444, 268.9162083670054, 274.3180680690754,\n", + " 295.9416444135749, 304.7574002810589, 326.4041833784181,\n", + " 344.03491321293785, 330.57230344635025, 159.16290398284687,\n", + " 203.868002870324, 221.61060799868523, 249.52420604447963,\n", + " 276.65404752141734, 303.06980569424934, 307.18297326480496,\n", + " 336.8330198777553, 325.4280062460534, 138.23634015072597,\n", + " 201.7184226296943, 215.68113669513644, 248.52039033360128,\n", + " 289.462635381704, 328.02022321492404, -26442.560771117653,\n", + " 165.0568268296707, 199.37748140748133, 240.9758201659857,\n", + " -20180.665500252748, 202.9618917257097, 267.9988480684109,\n", + " 202.4189461041052, 294.892621513935, 248.48347676761605,\n", + " 299.94438349542196, 24704.55797312887]}],\n", + " 'layout': {'annotations': [{'align': 'left',\n", + " 'bgcolor': 'white',\n", + " 'bordercolor': 'black',\n", + " 'borderwidth': 1,\n", + " 'showarrow': False,\n", + " 'text': 'Maßstab Ellipsen:
Dargestellte Größe = Konfidenzellipse × 2000',\n", + " 'x': 0.02,\n", + " 'xref': 'paper',\n", + " 'y': 0.05,\n", + " 'yref': 'paper'}],\n", + " 'height': 900,\n", + " 'plot_bgcolor': 'white',\n", + " 'template': '...',\n", + " 'title': {'text': 'Netzplot im ENU-System mit Konfidenzellipsen (Ellipsen ×2000)'},\n", + " 'width': 1100,\n", + " 'xaxis': {'gridcolor': 'lightgrey',\n", + " 'scaleanchor': 'y',\n", + " 'scaleratio': 1,\n", + " 'showgrid': True,\n", + " 'title': {'text': 'E [m]'}},\n", + " 'yaxis': {'gridcolor': 'lightgrey', 'showgrid': True, 'title': {'text': 'N [m]'}}}\n", + "})" + ] + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 33 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:53:06.755213Z", + "start_time": "2026-02-07T02:53:04.783325Z" + } + }, "cell_type": "code", "source": [ "# Zelle 30: Aktuelle Zoom-Ansicht speichern\n", @@ -20331,11 +59703,25 @@ "Netzqualitaet_Genauigkeit.Plot.plot_speichere_aktuelle_ansicht(plot_darstellung)" ], "id": "4ee12e4d548d9831", - "outputs": [], - "execution_count": null + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "✅ Aktuelle Ansicht wurde erfolgreich gespeichert: Netzqualitaet\\netzplot_ellipsen_zoom_ansicht.png\n", + "Ausschnitt: E[-542.98 bis -23.98], N[-22.06 bis 423.33]\n" + ] + } + ], + "execution_count": 34 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:53:09.743856Z", + "start_time": "2026-02-07T02:53:09.719411Z" + } + }, "cell_type": "code", "source": [ "# Zelle 31: Ergebnisse als Dataframe speichern\n", @@ -20349,10 +59735,15 @@ ], "id": "49bb115b13f724fd", "outputs": [], - "execution_count": null + "execution_count": 35 }, { - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2026-02-07T02:53:27.051383Z", + "start_time": "2026-02-07T02:53:15.211763Z" + } + }, "cell_type": "code", "source": [ "# Zelle 32: Erzeugung eines Protokolls der hybriden Netzausgleichung\n", @@ -20377,8 +59768,8 @@ " \"df_vks\": df_vks,\n", " \"df_aeussere_zuver\": aeussere_zuver,\n", " \"df_punktfehler\": Helmertscher_Punktfehler,\n", - " \"df_ellipsen\": Standardellipse,\n", - " \"df_konfidenzellipsen\": Konfidenzellipse,\n", + " \"df_standardellipsoid\": Standardellipsoid,\n", + " \"df_konfidenzellipsoid\": Konfidenzellipoid,\n", " \"df_konfidenzellipsen_enu\": Konfidenzellipse_ENU,\n", " \"netzplot_gesamt\": r\"Netzqualitaet\\netzplot_ellipsen_volle_ausdehnung.png\",\n", " \"netzplot_zoom\": r\"Netzqualitaet\\netzplot_ellipsen_zoom_ansicht.png\",\n", @@ -20388,8 +59779,16 @@ "Export.Export.speichere_html_protokoll(metadaten, ergebnisse)" ], "id": "9322606534ef6546", - "outputs": [], - "execution_count": null + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "✅ Protokoll wurde gespeichert unter: C:\\Users\\miche\\PycharmProjects\\Masterprojekt_V3\\Protokolle\\Protokoll_Campusnetz.html\n" + ] + } + ], + "execution_count": 36 }, { "metadata": {}, diff --git a/Export.py b/Export.py index 3394382..b09c1e1 100644 --- a/Export.py +++ b/Export.py @@ -230,8 +230,8 @@ class Export:
  • 4. Varianzkomponentenschätzung
  • 5. Äussere Zuverlässigkeit
  • 6. Standardabweichungen und Helmert'scher Punktfehler
  • -
  • 7. Standardellipsen
  • -
  • 8. Konfidenzellipsen
  • +
  • 7. Standardellipsoid
  • +
  • 8. Konfidenzellipoid
  • 9. Konfidenzellipsen im ENU-System
  • 10. Netzplot im ENU-System mit Konfidenzellipsen - Gesamtes Netz
  • 11. Netzplot im ENU-System mit Konfidenzellipsen - Ausschnitt
  • @@ -258,11 +258,11 @@ class Export:

    6. Standardabweichungen und Helmert'scher Punktfehler

    {ergebnisse['df_punktfehler'].to_html(index=False)} -

    7. Standardellipsen

    - {ergebnisse['df_ellipsen'].to_html(index=False)} +

    7. Standardellipsoid

    + {ergebnisse['df_standardellipsoid'].to_html(index=False)} -

    8. Konfidenzellipsen

    - {ergebnisse['df_konfidenzellipsen'].to_html(index=False)} +

    8. Konfidenzellipoid

    + {ergebnisse['df_konfidenzellipsoid'].to_html(index=False)}

    9. Konfidenzellipsen im ENU-System

    {ergebnisse['df_konfidenzellipsen_enu'].to_html(index=False)} diff --git a/Netzqualitaet_Genauigkeit.py b/Netzqualitaet_Genauigkeit.py index b24dc28..e681a70 100644 --- a/Netzqualitaet_Genauigkeit.py +++ b/Netzqualitaet_Genauigkeit.py @@ -56,9 +56,9 @@ class Genauigkeitsmaße: Aus der Kofaktor-Matrix der Unbekannten Qxx werden die Kofaktoren punktweise ausgelesen. Durch Multiplikation mit der a-posteriori Standardabweichung der Gewichtseinheit s₀ werden die Standardabweichungen je Koordinate - (σx, σy, σz) sowie der Helmertsche Punktfehler σP berechnet: + (σx, σy, σz) sowie der Helmert'sche Punktfehler σP berechnet: - Die Punktzuordnung erfolgt über die Symbolnamen der Unbekanntenliste (z.B. X1, Y1, Z1). + Die Punktzuordnung erfolgt über die Symbolnamen der Unbekanntenliste. Die Dimension (2D/3D) wird interaktiv per Eingabe abgefragt. Zusätzlich werden die Ergebnisse als Tabelle ausgegeben und in eine Excel-Datei exportiert. @@ -116,30 +116,35 @@ class Genauigkeitsmaße: @staticmethod - def standardellipse(Qxx, s0_apost, unbekannten_liste): + def standardellipsoid(Qxx, s0_apost, unbekannten_liste): """ - Berechnet die Standardellipse (Helmertsche Fehlerellipse) für die Punkte aus Qxx und s₀ a posteriori. + Berechnet Achsenlängen des Fehlerellipsoids (a, b, c) sowie den 2D-Richtungswinkel θ aus Qxx und s₀ a posteriori. - Für jeden Punkt werden aus der Kofaktor-Matrix der Unbekannten Qxx die - Kofaktoren von X und Y ausgelesen (qxx, qyy, qyx). - Daraus werden Standardabweichungen σx, σy sowie die Kovarianz σxy bestimmt und - anschließend die Parameter der Standardellipse berechnet: + Für jeden Punkt wird aus der Kofaktor-Matrix der Unbekannten Qxx die 3×3-Submatrix + der Koordinaten (X, Y, Z) gebildet. Daraus werden zunächst die Standardabweichungen + σx, σy, σz bestimmt. Anschließend werden über eine Eigenwertzerlegung der Submatrix + die Halbachsen des (punktbezogenen) Fehlerellipsoids berechnet: - - Große und kleine Halbachse der Standardellipse, - - Richtungswinkel θ der großen Halbachse in gon. + - Halbachse a aus dem größten Eigenwert, + - Halbachse b aus dem mittleren Eigenwert, + - Halbachse c aus dem kleinsten Eigenwert. - Die Punktzuordnung erfolgt über die Symbolnamen der Unbekanntenliste (z.B. X1, Y1). - Zusätzlich werden die Ergebnisse tabellarisch ausgegeben und in eine Excel-Datei expoertiert. + Zusätzlich wird zur zweidimensionalen Darstellung ein Richtungswinkel θ in der X/Y-Ebene + aus den Kovarianzanteilen (qxx, qyy, qyx) berechnet (Winkel in gon). + + Die Punktzuordnung erfolgt über die Symbolnamen der Unbekanntenliste. + Die Ergebnisse werden tabellarisch ausgegeben und in eine Excel-Datei exportiert. :param Qxx: Kofaktor-Matrix der Unbekannten. :type Qxx: numpy.ndarray - :param s0_apost: a-posteriori Standardabweichung der Gewichtseinheit s₀. + :param s0_apost: A-posteriori Standardabweichung der Gewichtseinheit s₀. :type s0_apost: float :param unbekannten_liste: Liste der Unbekannten. :type unbekannten_liste: list - :return: Tabelle mit Standardabweichungen und Parametern der Standardellipse je Punkt. + :return: Tabelle mit Standardabweichungen (σx, σy, σz), Ellipsoid-Halbachsen (a, b, c) und Richtungswinkel θ je Punkt. :rtype: pandas.DataFrame """ + Qxx = np.asarray(Qxx, float) daten = [] namen_str = [str(sym) for sym in unbekannten_liste] @@ -153,65 +158,55 @@ class Genauigkeitsmaße: try: idx_x = next(i for i, n in enumerate(namen_str) if n.upper() == f"X{pid}".upper()) idx_y = next(i for i, n in enumerate(namen_str) if n.upper() == f"Y{pid}".upper()) + idx_z = next(i for i, n in enumerate(namen_str) if n.upper() == f"Z{pid}".upper()) - qxx = Qxx[idx_x, idx_x] - qyy = Qxx[idx_y, idx_y] - qyx = Qxx[idx_y, idx_x] + indices = [idx_x, idx_y, idx_z] + Q_sub = Qxx[np.ix_(indices, indices)] # Standardabweichungen - sx = s0_apost * np.sqrt(qxx) - sy = s0_apost * np.sqrt(qyy) - sxy = (s0_apost ** 2) * qyx + sx = s0_apost * np.sqrt(Q_sub[0, 0]) + sy = s0_apost * np.sqrt(Q_sub[1, 1]) + sz = s0_apost * np.sqrt(Q_sub[2, 2]) - k = np.sqrt((qxx - qyy) ** 2 + 4 * (qyx ** 2)) - - # Q_dmax/min = 0.5 * (Qyy + Qxx +/- k) - q_dmax = 0.5 * (qyy + qxx + k) - q_dmin = 0.5 * (qyy + qxx - k) + # Eigenwertzerlegung + eigenwerte, eigenvektoren = np.linalg.eigh(Q_sub) + eigenwerte = np.sort(eigenwerte)[::-1] # Halbachsen - s_max = s0_apost * np.sqrt(q_dmax) - s_min = s0_apost * np.sqrt(q_dmin) + s_a = s0_apost * np.sqrt(eigenwerte[0]) # Große Halbachse a + s_b = s0_apost * np.sqrt(eigenwerte[1]) # Mittlere Halbachse b + s_c = s0_apost * np.sqrt(eigenwerte[2]) # Kleine Halbachse c # Richtungswinkel theta in gon: - zaehler = 2 * qyx - nenner = qxx - qyy - t_grund = 0.5 * np.arctan(abs(zaehler) / abs(nenner)) * (200 / np.pi) - - # Quadrantenabfrage - if nenner > 0 and qyx > 0: # Qxx - Qyy > 0 und Qyx > 0 - t_gon = t_grund # 0 - 50 gon - elif nenner < 0 and qyx > 0: # Qxx - Qyy < 0 und Qyx > 0 - t_gon = 100 - t_grund # 50 - 100 gon - elif nenner < 0 and qyx < 0: # Qxx - Qyy < 0 und Qyx < 0 - t_gon = 100 + t_grund # 100 - 150 gon - elif nenner > 0 and qyx < 0: # Qxx - Qyy > 0 und Qyx < 0 - t_gon = 200 - t_grund # 150 - 200 gon - else: - t_gon = 0.0 + qyx = Q_sub[1, 0] + qxx = Q_sub[0, 0] + qyy = Q_sub[1, 1] + t_gon = 0.5 * np.arctan2(2 * qyx, qxx - qyy) * (200 / np.pi) + if t_gon < 0: + t_gon += 200 daten.append([ - pid, - float(sx), float(sy), float(sxy), - float(s_max), float(s_min), - float(t_gon) + pid, float(sx), float(sy), float(sz), + float(s_a), float(s_b), float(s_c), float(t_gon) ]) except: continue - standardellipse = pd.DataFrame(daten, columns=["Punkt", "σx [m]", "σy [m]", "σxy [m]", "Große Halbachse [m]", "Kleine Halbachse [m]", "θ [gon]"]) - standardellipse["σx [m]"] = standardellipse["σx [m]"].astype(float).round(4) - standardellipse["σy [m]"] = standardellipse["σy [m]"].astype(float).round(4) - standardellipse["Große Halbachse [m]"] = standardellipse["Große Halbachse [m]"].astype(float).round(4) - standardellipse["Kleine Halbachse [m]"] = standardellipse["Kleine Halbachse [m]"].astype(float).round(4) - standardellipse["θ [gon]"] = standardellipse["θ [gon]"].astype(float).round(3) - display(HTML(standardellipse.to_html(index=False))) - standardellipse.to_excel(r"Netzqualitaet\Standardellipse.xlsx", index=False) - return standardellipse + standardellipsoid = pd.DataFrame(daten, columns=["Punkt", "σx [m]", "σy [m]", "σz [m]", "Halbachse a [m]", "Halbachse b [m]", "Halbachse c [m]", "θ [gon]"]) + standardellipsoid["σx [m]"] = standardellipsoid["σx [m]"].astype(float).round(4) + standardellipsoid["σy [m]"] = standardellipsoid["σy [m]"].astype(float).round(4) + standardellipsoid["σz [m]"] = standardellipsoid["σz [m]"].astype(float).round(4) + standardellipsoid["Halbachse a [m]"] = standardellipsoid["Halbachse a [m]"].astype(float).round(4) + standardellipsoid["Halbachse b [m]"] = standardellipsoid["Halbachse b [m]"].astype(float).round(4) + standardellipsoid["Halbachse c [m]"] = standardellipsoid["Halbachse c [m]"].astype(float).round(4) + standardellipsoid["θ [gon]"] = standardellipsoid["θ [gon]"].astype(float).round(3) + display(HTML(standardellipsoid.to_html(index=False))) + standardellipsoid.to_excel(r"Netzqualitaet\Standardellipsoid.xlsx", index=False) + return standardellipsoid @staticmethod - def konfidenzellipse(Qxx, s0_apost, unbekannten_liste, R, ausgabe_erfolgt): + def konfidenzellipsoid(Qxx, s0_apost, unbekannten_liste, R, ausgabe_erfolgt): """ Berechnet die Konfidenzellipse für Punkte aus Qxx und einem Konfidenzniveau. @@ -238,7 +233,7 @@ class Genauigkeitsmaße: :rtype: tuple[pandas.DataFrame, float] :raises ValueError: Wenn alpha nicht in (0, 1) liegt oder nicht in float umgewandelt werden kann. """ - alpha_input = input("Konfidenzniveau wählen (z.B. 0.05 für 95%, 0.01 für 99%) [Standard=0.05]: ") + alpha_input = input("Irrtumswahrscheinlichkeit α wählen (z.B. 0.05, 0.01) [Standard=0.05]: ") if alpha_input.strip() == "": alpha = 0.05 else: @@ -250,72 +245,53 @@ class Genauigkeitsmaße: punkt_ids = [n[1:] for n in namen_str if n.upper().startswith('X')] - # Faktor für Konfidenzellipse (F-Verteilung) - kk = float(np.sqrt(2.0 * f.ppf(1.0 - alpha, 2, R))) + # Faktor fürs Konfidenzellipoid (F-Verteilung) + k = float(np.sqrt(3.0 * f.ppf(1.0 - alpha, 3, R))) for pid in punkt_ids: try: idx_x = next(i for i, n in enumerate(namen_str) if n.upper() == f"X{pid}".upper()) idx_y = next(i for i, n in enumerate(namen_str) if n.upper() == f"Y{pid}".upper()) + idx_z = next(i for i, n in enumerate(namen_str) if n.upper() == f"Z{pid}".upper()) - qxx = Qxx[idx_x, idx_x] - qyy = Qxx[idx_y, idx_y] - qyx = Qxx[idx_y, idx_x] + indices = [idx_x, idx_y, idx_z] + Q_sub = Qxx[np.ix_(indices, indices)] # Standardabweichungen - sx = s0_apost * np.sqrt(qxx) - sy = s0_apost * np.sqrt(qyy) - sxy = (s0_apost ** 2) * qyx + sx = s0_apost * np.sqrt(Q_sub[0, 0]) + sy = s0_apost * np.sqrt(Q_sub[1, 1]) + sz = s0_apost * np.sqrt(Q_sub[2, 2]) - k = np.sqrt((qxx - qyy) ** 2 + 4 * (qyx ** 2)) + # Eigenwertzerlegung + eigenwerte, eigenvektoren = np.linalg.eigh(Q_sub) + eigenwerte = np.sort(eigenwerte)[::-1] - # Q_dmax/min = 0.5 * (Qyy + Qxx +/- k) - q_dmax = 0.5 * (qyy + qxx + k) - q_dmin = 0.5 * (qyy + qxx - k) - - # Halbachsen der Standardellipse - s_max = s0_apost * np.sqrt(q_dmax) - s_min = s0_apost * np.sqrt(q_dmin) - - # Halbachsen der Konfidenzellipse - A_K = kk * s_max - B_K = kk * s_min + # Halbachsen des Konfidenzellipoid + A_K = k * s0_apost * np.sqrt(eigenwerte[0]) + B_K = k * s0_apost * np.sqrt(eigenwerte[1]) + C_K = k * s0_apost * np.sqrt(eigenwerte[2]) # Richtungswinkel theta in gon: - zaehler = 2 * qyx - nenner = qxx - qyy - t_grund = 0.5 * np.arctan(abs(zaehler) / abs(nenner)) * (200 / np.pi) - - # Quadrantenabfrage - if nenner > 0 and qyx > 0: - t_gon = t_grund # 0 - 50 gon - elif nenner < 0 and qyx > 0: - t_gon = 100 - t_grund # 50 - 100 gon - elif nenner < 0 and qyx < 0: - t_gon = 100 + t_grund # 100 - 150 gon - elif nenner > 0 and qyx < 0: - t_gon = 200 - t_grund # 150 - 200 gon - else: - t_gon = 0.0 + qyx = Q_sub[1, 0] + qxx = Q_sub[0, 0] + qyy = Q_sub[1, 1] + t_gon = 0.5 * np.arctan2(2 * qyx, qxx - qyy) * (200 / np.pi) + if t_gon < 0: + t_gon += 200 daten.append([ - pid, - float(sx), float(sy), float(sxy), - float(A_K), float(B_K), - float(t_gon) + pid, float(sx), float(sy), float(sz), + float(A_K), float(B_K), float(C_K), float(t_gon) ]) except: continue - konfidenzellipse = pd.DataFrame(daten, columns=["Punkt", "σx [m]", "σy [m]", "σxy [m]", "Große Halbachse [m]", "Kleine Halbachse [m]", "θ [gon]"]) - konfidenzellipse["Große Halbachse [m]"] = konfidenzellipse["Große Halbachse [m]"].round(4) - konfidenzellipse["Kleine Halbachse [m]"] = konfidenzellipse["Kleine Halbachse [m]"].round(4) - konfidenzellipse["θ [gon]"] = konfidenzellipse["θ [gon]"].round(3) + konfidenzellipoid = pd.DataFrame(daten, columns=["Punkt", "σx [m]", "σy [m]", "σz [m]", "Halbachse a_k [m]", "Halbachse b_k [m]", "Halbachse c_k [m]", "θ [gon]"]) if ausgabe_erfolgt == False: - display(HTML(konfidenzellipse.to_html(index=False))) - konfidenzellipse.to_excel(r"Netzqualitaet\Konfidenzellipse.xlsx", index=False) - return konfidenzellipse, alpha + display(HTML(konfidenzellipoid.to_html(index=False))) + konfidenzellipoid.to_excel(r"Netzqualitaet\Konfidenzellipoid.xlsx", index=False) + return konfidenzellipoid, alpha @staticmethod @@ -326,7 +302,7 @@ class Genauigkeitsmaße: Die Funktion transformiert zunächst die Kofaktor-Matrix der Unbekannten Qxx in ein East-North-Up-System (ENU) bezogen auf den Schwerpunkt der verwendeten Punkte (B0, L0). Anschließend wird auf Basis der transformierten Matrix die - Konfidenzellipse über die Funktion "konfidenzellipse" bestimmt. + Konfidenzellipse über die Funktion "konfidenzellipsoid" bestimmt. Zum Schluss werden Spaltennamen an die ENU-Notation angepasst, Werte gerundet, tabellarisch ausgegeben und als Excel-Datei exportiert. @@ -362,8 +338,8 @@ class Genauigkeitsmaße: print( f"ENU-Referenz (Schwerpunkt): B0={Einheitenumrechnung.Einheitenumrechnung.rad_to_gon_Decimal(B0):.8f} rad, L0={Einheitenumrechnung.Einheitenumrechnung.rad_to_gon_Decimal(L0):.8f} rad") - # 2) Konfidenzellipse im ENU-System - Konfidenzellipse_ENU, alpha = Genauigkeitsmaße.konfidenzellipse( + # 2) Konfidenzellipoid im ENU-System + Konfidenzellipse_ENU, alpha = Genauigkeitsmaße.konfidenzellipsoid( Qxx_enu, s0apost, liste_unbekannte, @@ -375,15 +351,17 @@ class Genauigkeitsmaße: Konfidenzellipse_ENU = Konfidenzellipse_ENU.rename(columns={ "σx [m]": "σE [m]", "σy [m]": "σN [m]", - "σxy [m]": "σEN [m]", + "σz [m]": "σU [m]", "θ [gon]": "θ_EN [gon]" }) # 4) Runden und Anzeigen - Konfidenzellipse_ENU["σE [m]"] = Konfidenzellipse_ENU["σE [m]"].round(4) - Konfidenzellipse_ENU["σN [m]"] = Konfidenzellipse_ENU["σN [m]"].round(4) - Konfidenzellipse_ENU["Große Halbachse [m]"] = Konfidenzellipse_ENU["Große Halbachse [m]"].round(4) - Konfidenzellipse_ENU["Kleine Halbachse [m]"] = Konfidenzellipse_ENU["Kleine Halbachse [m]"].round(4) + Konfidenzellipse_ENU["σE [m]"] = Konfidenzellipse_ENU["σE [m]"].round(6) + Konfidenzellipse_ENU["σN [m]"] = Konfidenzellipse_ENU["σN [m]"].round(6) + Konfidenzellipse_ENU["σU [m]"] = Konfidenzellipse_ENU["σU [m]"].round(6) + Konfidenzellipse_ENU["Halbachse a_k [m]"] = Konfidenzellipse_ENU["Halbachse a_k [m]"].round(4) + Konfidenzellipse_ENU["Halbachse b_k [m]"] = Konfidenzellipse_ENU["Halbachse b_k [m]"].round(4) + Konfidenzellipse_ENU["Halbachse c_k [m]"] = Konfidenzellipse_ENU["Halbachse c_k [m]"].round(4) Konfidenzellipse_ENU["θ_EN [gon]"] = Konfidenzellipse_ENU["θ_EN [gon]"].round(4) display(HTML(Konfidenzellipse_ENU.to_html(index=False))) @@ -416,26 +394,28 @@ class Plot: unbekannten_labels, beobachtungs_labels, df_konf_ellipsen_enu, - skalierung=1000, + skalierung, n_ellipse_pts=60, titel="Netzplot im ENU-System mit Konfidenzellipsen" ): + """ Erstellt einen Netzplot im ENU-System inklusive Konfidenzellipsen, Netzpunkten und Beobachtungslinien. - Die Funktion visualisiert das geodätische Netz im East-North-Up-System (ENU) - mit Plotly. Dabei werden: + Die Funktion visualisiert das geodätische Netz im East-North-Up-System (ENU) mit Plotly. + Dabei werden: - - Beobachtungen als Verbindungslinien zwischen Punkten dargestellt, deren Ansicht aus- und eingeschaltet werden kann, + - Beobachtungen als Verbindungslinien zwischen Punkten dargestellt (als separate Traces/Legenden-Einträge), - Konfidenzellipsen je Punkt (Halbachsen und Richtungswinkel), - Netzpunkte mit Punkt-ID und Koordinaten im Hover-Text angezeigt. - Die Ellipsen werden zur besseren Sichtbarkeit mit einem Faktor "skalierung" vergrößert. Dieser kann angepasst werden. + Die Ellipsen werden zur besseren Sichtbarkeit mit dem Faktor "skalierung" vergrößert. Der Richtungswinkel wird in gon erwartet und intern nach Radiant umgerechnet. + Zusätzlich wird eine PNG-Grafik über "plot.write_image(...)" exportiert. :param Koord_ENU: Dictionary der Punktkoordinaten im ENU-System. :type Koord_ENU: dict - :param unbekannten_labels: Liste der Unbekannten zur Ableitung der Punkt-IDs (z.B. X1, Y1, Z1). + :param unbekannten_labels: Liste der Unbekannten zur Ableitung der Punkt-IDs. :type unbekannten_labels: list :param beobachtungs_labels: Liste der Beobachtungen zur Ableitung von Verbindungslinien. :type beobachtungs_labels: list @@ -447,12 +427,12 @@ class Plot: :type n_ellipse_pts: int :param titel: Titel des Plots. :type titel: str - :return: None - :rtype: None + :return: Plotly-Figure-Objekt mit Netz, Beobachtungen und Ellipsen. + :rtype: plotly.graph_objects.Figure :raises ValueError: Wenn weder "θ_EN [gon]" noch "θ [gon]" im DataFrame vorhanden ist. """ - names = [str(s).strip() for s in unbekannten_labels] + namen = [str(s).strip() for s in unbekannten_labels] if "θ_EN [gon]" in df_konf_ellipsen_enu.columns: theta_col = "θ_EN [gon]" @@ -461,9 +441,9 @@ class Plot: else: raise ValueError("Spalte 'θ_EN [gon]' oder 'θ [gon]' fehlt im DataFrame.") - punkt_ids = sorted({nm[1:] for nm in names if nm and nm[0].upper() in ("X", "Y", "Z")}) + punkt_ids = sorted({nm[1:] for nm in namen if nm and nm[0].upper() in ("X", "Y", "Z")}) - fig = go.Figure() + plot = go.Figure() # 1) Darstellungen der Beobachtungen beob_typen = { @@ -472,28 +452,28 @@ class Plot: } for typ, info in beob_typen.items(): - x_l, y_l = [], [] - for bl in beobachtungs_labels: - bl_str = str(bl).lower() + x_linie, y_linie = [], [] + for beob in beobachtungs_labels: + bl_str = str(beob).lower() is_typ = ((info['pattern'] in bl_str and info['pattern'] != '') or (info['pattern'] == '' and 'gnss' not in bl_str and 'niv' not in bl_str)) if not is_typ: continue - bl_raw = str(bl) - pts = [] + beob_text = str(beob) + punkte = [] for pid in punkt_ids: - if (f"_{pid}" in bl_raw) or bl_raw.startswith(f"{pid}_"): + if (f"_{pid}" in beob_text) or beob_text.startswith(f"{pid}_"): if pid in Koord_ENU: - pts.append(pid) + punkte.append(pid) - if len(pts) >= 2: - p1, p2 = pts[0], pts[1] - x_l.extend([Koord_ENU[p1][0], Koord_ENU[p2][0], None]) # E - y_l.extend([Koord_ENU[p1][1], Koord_ENU[p2][1], None]) # N + if len(punkte) >= 2: + punkt1, punkt2 = punkte[0], punkte[1] + x_linie.extend([Koord_ENU[punkt1][0], Koord_ENU[punkt2][0], None]) # E + y_linie.extend([Koord_ENU[punkt1][1], Koord_ENU[punkt2][1], None]) # N - if x_l: - fig.add_trace(go.Scatter(x=x_l, y=y_l, mode='lines', name=typ, + if x_linie: + plot.add_trace(go.Scatter(x=x_linie, y=y_linie, mode='lines', name=typ, line=dict(color=info['color'], width=1))) # 2) Darstellung der Konfidenzellipsen @@ -504,8 +484,8 @@ class Plot: if pid not in Koord_ENU: continue - a = float(row["Große Halbachse [m]"]) * skalierung - b = float(row["Kleine Halbachse [m]"]) * skalierung + a = float(row["Halbachse a_k [m]"]) * skalierung + b = float(row["Halbachse b_k [m]"]) * skalierung theta = float(row[theta_col]) * np.pi / 200.0 # gon->rad ex = a * np.cos(t) @@ -517,7 +497,7 @@ class Plot: E0, N0, _ = Koord_ENU[pid] - fig.add_trace(go.Scatter( + plot.add_trace(go.Scatter( x=E0 + xr, y=N0 + yr, mode="lines", line=dict(color="red", width=1.5), @@ -539,7 +519,7 @@ class Plot: texts.append(pid) hovers.append(f"Punkt {pid}
    E={E:.4f} m
    N={N:.4f} m
    U={U:.4f} m") - fig.add_trace(go.Scatter( + plot.add_trace(go.Scatter( x=xs, y=ys, mode="markers+text", text=texts, textposition="top center", marker=dict(size=8, color="black"), @@ -547,7 +527,7 @@ class Plot: hovertext=hovers, hoverinfo="text" )) - fig.update_layout( + plot.update_layout( title=f"{titel} (Ellipsen ×{skalierung})", xaxis=dict(title="E [m]", scaleanchor="y", scaleratio=1, showgrid=True, gridcolor="lightgrey"), yaxis=dict(title="N [m]", showgrid=True, gridcolor="lightgrey"), @@ -556,16 +536,35 @@ class Plot: plot_bgcolor="white" ) - fig.add_annotation( + plot.add_annotation( text=f"Maßstab Ellipsen:
    Dargestellte Größe = Konfidenzellipse × {skalierung}", align='left', showarrow=False, xref='paper', yref='paper', x=0.02, y=0.05, bgcolor="white", bordercolor="black", borderwidth=1 ) - fig.write_image(r"Netzqualitaet\netzplot_ellipsen_volle_ausdehnung.png") - return fig + plot.write_image(r"Netzqualitaet\netzplot_ellipsen_volle_ausdehnung.png") + return plot def plot_speichere_aktuelle_ansicht(plot, dateiname=r"Netzqualitaet\netzplot_ellipsen_zoom_ansicht.png"): + """ + Speichert die aktuell dargestellte Plot-Ansicht als Bilddatei. + + Die Funktion übernimmt ein vorhandenes Plotly-Figure-Objekt und exportiert die momentan im Layout + eingestellte Ansicht (inklusive Zoom- oder Achsenbereich) als PNG-Datei. Dazu wird das aktuelle + Layout übernommen und in ein neues Figure-Objekt kopiert, welches anschließend mit + "write_image" gespeichert wird. + + Zusätzlich werden die aktuellen Achsenbereiche (E/N) in der Konsole ausgegeben, um den gespeicherten + Ausschnitt zu dokumentieren. + + :param plot: Plotly-Figure-Objekt mit dem darzustellenden Netzplot. + :type plot: plotly.graph_objects.Figure + :param dateiname: Dateipfad für die Ausgabedatei (Standard: PNG im Ordner Netzqualitaet). + :type dateiname: str + :return: None + :rtype: None + :raises OSError: Wenn die Bilddatei nicht geschrieben werden kann (z.B. fehlender Pfad oder fehlendes Kaleido). + """ aktuelles_layout = plot.layout export_plot = go.Figure(plot.data, layout=aktuelles_layout) diff --git a/Netzqualitaet_Zuverlaessigkeit.py b/Netzqualitaet_Zuverlaessigkeit.py index 902b569..f71de23 100644 --- a/Netzqualitaet_Zuverlaessigkeit.py +++ b/Netzqualitaet_Zuverlaessigkeit.py @@ -296,8 +296,8 @@ class Zuverlaessigkeit: labels = [str(s) for s in liste_beob] # Benutzereingabe von β - beta_input = input("Macht des Tests (1-β) wählen [Standard: 80 % -> 0.80]: ").strip() - beta = 0.80 if beta_input == "" else float(beta_input) + beta_input = input("β für Macht des Tests (1-β) wählen [Standard: 0.20]: ").strip() + beta = 0.20 if beta_input == "" else float(beta_input) # Berechnungen für den Lokaltest Lokaltest = Zuverlaessigkeit.lokaltest_innere_Zuverlaessigkeit(