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| 1 | +// This file is part of the AliceVision project. |
| 2 | +// Copyright (c) 2026 AliceVision contributors. |
| 3 | +// This Source Code Form is subject to the terms of the Mozilla Public License, |
| 4 | +// v. 2.0. If a copy of the MPL was not distributed with this file, |
| 5 | +// You can obtain one at https://mozilla.org/MPL/2.0/. |
| 6 | + |
| 7 | +#define BOOST_TEST_MODULE bundleAdjustment_temporalConstraint |
| 8 | + |
| 9 | +#include <aliceVision/sfmData/SfMData.hpp> |
| 10 | +#include <aliceVision/sfm/bundle/BundleAdjustmentCeres.hpp> |
| 11 | +#include <aliceVision/sfmDataIO/sceneSample.hpp> |
| 12 | +#include <aliceVision/sfm/utils/poseNoise.hpp> |
| 13 | +#include <aliceVision/track/tracksUtils.hpp> |
| 14 | + |
| 15 | +#include <aliceVision/sfm/utils/statistics.hpp> |
| 16 | +#include <aliceVision/numeric/numeric.hpp> |
| 17 | +#include <boost/test/unit_test.hpp> |
| 18 | +#include <boost/test/tools/floating_point_comparison.hpp> |
| 19 | + |
| 20 | +using namespace aliceVision; |
| 21 | + |
| 22 | +void computeTemporalSmoothness(const sfmData::SfMData& sfmData, double& diff0Mean, double& diff1Mean, double& diff2Mean, |
| 23 | + double& angleDiff0Mean, double& angleDiff1Mean, double& angleDiff2Mean) |
| 24 | +{ |
| 25 | + using namespace Eigen; |
| 26 | + using namespace Eigen::indexing; |
| 27 | + |
| 28 | + const int viewCount = sfmData.getViews().size(); |
| 29 | + |
| 30 | + MatrixXd viewCenters(3, viewCount); |
| 31 | + |
| 32 | + int frameIdx = 0; |
| 33 | + for (auto& [_, pose] : sfmData.getPoses().valueRange()) |
| 34 | + viewCenters.col(frameIdx++) = pose.getTransform().center(); |
| 35 | + |
| 36 | + Vector3d viewsCenter = viewCenters.rowwise().mean(); |
| 37 | + |
| 38 | + double radiusMean = (viewCenters.colwise() - viewsCenter).colwise().norm().mean(); |
| 39 | + |
| 40 | + diff0Mean = (viewCenters(all,seq(1, last)) - viewCenters(all,seq(0, last-1))).array().abs().mean(); |
| 41 | + diff0Mean = diff0Mean / radiusMean; |
| 42 | + |
| 43 | + diff1Mean = (2. * viewCenters(all,seq(1, last-1)) |
| 44 | + - viewCenters(all,seq(0, last-2)) |
| 45 | + - viewCenters(all,seq(2, last))).array().abs().mean(); |
| 46 | + diff1Mean = diff1Mean / radiusMean; |
| 47 | + |
| 48 | + diff2Mean = (3. * viewCenters(all,seq(1, last-2)) |
| 49 | + - 3. * viewCenters(all,seq(2, last-1)) |
| 50 | + + viewCenters(all,seq(3, last)) |
| 51 | + - viewCenters(all,seq(0, last-3))).array().abs().mean(); |
| 52 | + diff2Mean = diff2Mean / radiusMean; |
| 53 | + |
| 54 | + MatrixXd angleDiff(3, viewCount-1); |
| 55 | + MatrixXd quaterDiff(4, viewCount-1); |
| 56 | + |
| 57 | + frameIdx = -1; |
| 58 | + Quaterniond prevRot, currRot; |
| 59 | + for (auto& [_, pose] : sfmData.getPoses().valueRange()) |
| 60 | + { |
| 61 | + prevRot = currRot; |
| 62 | + currRot = Quaterniond(pose.getTransform().rotation()); |
| 63 | + if (frameIdx == -1) |
| 64 | + { |
| 65 | + frameIdx++; |
| 66 | + continue; |
| 67 | + } |
| 68 | + Quaterniond quatDiff = currRot * prevRot.conjugate(); |
| 69 | + quaterDiff.col(frameIdx) = quatDiff.coeffs(); |
| 70 | + AngleAxisd aa(quatDiff); |
| 71 | + angleDiff.col(frameIdx++) = aa.angle() * aa.axis(); |
| 72 | + } |
| 73 | + |
| 74 | + angleDiff0Mean = std::sqrt(angleDiff.array().pow(2).mean()); |
| 75 | + |
| 76 | + MatrixXd angleDiff1(3, viewCount-2); |
| 77 | + MatrixXd quaterDiff1(4, viewCount-2); |
| 78 | + for (frameIdx = 0; frameIdx < viewCount-2; frameIdx++) |
| 79 | + { |
| 80 | + Quaterniond quatDiff = Quaterniond(quaterDiff.col(frameIdx+1).data()) * Quaterniond(quaterDiff.col(frameIdx).data()).conjugate(); |
| 81 | + quaterDiff1.col(frameIdx) = quatDiff.coeffs(); |
| 82 | + AngleAxisd aa(quatDiff); |
| 83 | + angleDiff1.col(frameIdx) = aa.angle() * aa.axis(); |
| 84 | + } |
| 85 | + |
| 86 | + angleDiff1Mean = std::sqrt(angleDiff1.array().pow(2).mean()); |
| 87 | + |
| 88 | + MatrixXd angleDiff2(3, viewCount-3); |
| 89 | + for (frameIdx = 0; frameIdx < viewCount-3; frameIdx++) |
| 90 | + { |
| 91 | + Quaterniond quatDiff = Quaterniond(quaterDiff1.col(frameIdx+1).data()) * Quaterniond(quaterDiff1.col(frameIdx).data()).conjugate(); |
| 92 | + AngleAxisd aa(quatDiff); |
| 93 | + angleDiff2.col(frameIdx) = aa.angle() * aa.axis(); |
| 94 | + } |
| 95 | + |
| 96 | + angleDiff2Mean = std::sqrt(angleDiff2.array().pow(2).mean()); |
| 97 | +} |
| 98 | + |
| 99 | +BOOST_AUTO_TEST_CASE(BA_temporalConstraint) |
| 100 | +{ |
| 101 | + makeRandomOperationsReproducible(); |
| 102 | + |
| 103 | + sfmData::SfMData sfmData; |
| 104 | + sfmDataIO::generateSphereScene(sfmData, 100, 240); |
| 105 | + |
| 106 | + track::TracksMap mapTracks; |
| 107 | + track::simulateTracks(sfmData, 20., 0., 0., false, mapTracks); |
| 108 | + for (auto& [landmarkId, landmark] : sfmData.getLandmarks()) |
| 109 | + for (auto& [viewId, obs] : mapTracks[landmarkId].featPerView) |
| 110 | + landmark.getObservations().at(viewId).setCoordinates(obs.coords); |
| 111 | + |
| 112 | + double diff0MeanClean, diff1MeanClean, diff2MeanClean; |
| 113 | + double angleDiff0MeanClean, angleDiff1MeanClean, angleDiff2MeanClean; |
| 114 | + computeTemporalSmoothness(sfmData, diff0MeanClean, diff1MeanClean, diff2MeanClean, |
| 115 | + angleDiff0MeanClean, angleDiff1MeanClean, angleDiff2MeanClean); |
| 116 | + |
| 117 | + sfm::addPoseNoise(sfmData, 0.3, 0.05); |
| 118 | + |
| 119 | + double diff0MeanNoise, diff1MeanNoise, diff2MeanNoise; |
| 120 | + double angleDiff0MeanNoise, angleDiff1MeanNoise, angleDiff2MeanNoise; |
| 121 | + computeTemporalSmoothness(sfmData, diff0MeanNoise, diff1MeanNoise, diff2MeanNoise, |
| 122 | + angleDiff0MeanNoise, angleDiff1MeanNoise, angleDiff2MeanNoise); |
| 123 | + |
| 124 | + BOOST_CHECK_LT(diff0MeanClean, diff0MeanNoise); |
| 125 | + BOOST_CHECK_LT(diff1MeanClean, diff1MeanNoise); |
| 126 | + BOOST_CHECK_LT(diff2MeanClean, diff2MeanNoise); |
| 127 | + |
| 128 | + BOOST_CHECK_LT(angleDiff0MeanClean, angleDiff0MeanNoise); |
| 129 | + BOOST_CHECK_LT(angleDiff1MeanClean, angleDiff1MeanNoise); |
| 130 | + BOOST_CHECK_LT(angleDiff2MeanClean, angleDiff2MeanNoise); |
| 131 | + |
| 132 | + sfm::BundleAdjustmentCeres::CeresOptions options; |
| 133 | + sfm::BundleAdjustment::ERefineOptions refineOptions; |
| 134 | + refineOptions = sfm::BundleAdjustment::REFINE_ROTATION |
| 135 | + | sfm::BundleAdjustment::REFINE_STRUCTURE |
| 136 | + | sfm::BundleAdjustment::REFINE_TRANSLATION |
| 137 | + | sfm::BundleAdjustment::REFINE_INTRINSICS_ALL; |
| 138 | + options.summary = false; |
| 139 | + |
| 140 | + // Bundle adjustment without temporal constraint |
| 141 | + double rmseBeforeBA = sfm::RMSE(sfmData); |
| 142 | + sfm::BundleAdjustmentCeres BA(options); |
| 143 | + BA.adjust(sfmData, refineOptions); |
| 144 | + double rmseAfterBA_noTC = sfm::RMSE(sfmData); |
| 145 | + BOOST_CHECK_LT(rmseAfterBA_noTC, .5 * rmseBeforeBA); |
| 146 | + |
| 147 | + double diff0MeanNoTC, diff1MeanNoTC, diff2MeanNoTC; |
| 148 | + double angleDiff0MeanNoTC, angleDiff1MeanNoTC, angleDiff2MeanNoTC; |
| 149 | + computeTemporalSmoothness(sfmData, diff0MeanNoTC, diff1MeanNoTC, diff2MeanNoTC, |
| 150 | + angleDiff0MeanNoTC, angleDiff1MeanNoTC, angleDiff2MeanNoTC); |
| 151 | + |
| 152 | + BOOST_CHECK_LT(angleDiff0MeanNoTC, angleDiff0MeanNoise); |
| 153 | + BOOST_CHECK_LT(angleDiff1MeanNoTC, angleDiff1MeanNoise); |
| 154 | + BOOST_CHECK_LT(angleDiff2MeanNoTC, angleDiff2MeanNoise); |
| 155 | + |
| 156 | + sfmData::SfMData sfmData_noTC = sfmData::SfMData(sfmData); |
| 157 | + |
| 158 | + // Add the temporal constraint |
| 159 | + refineOptions |= sfm::BundleAdjustment::REFINE_TEMPORAL_SMOOTHNESS_CONSTRAINT; |
| 160 | + options.temporalConstraintParams.positionWeight = 10.; |
| 161 | + options.temporalConstraintParams.c0positionWeight = 1.0; |
| 162 | + options.temporalConstraintParams.orientationWeight = 0.; |
| 163 | + BA = sfm::BundleAdjustmentCeres(options); |
| 164 | + |
| 165 | + // Bundle adjustment with temporal constraint on positions |
| 166 | + BA.adjust(sfmData, refineOptions); |
| 167 | + double rmseAfterBA_TCP = sfm::RMSE(sfmData); |
| 168 | + BOOST_CHECK_LT(rmseAfterBA_TCP, 1.2 * rmseAfterBA_noTC); |
| 169 | + |
| 170 | + double diff0MeanTCP, diff1MeanTCP, diff2MeanTCP; |
| 171 | + double angleDiff0MeanTCP, angleDiff1MeanTCP, angleDiff2MeanTCP; |
| 172 | + computeTemporalSmoothness(sfmData, diff0MeanTCP, diff1MeanTCP, diff2MeanTCP, |
| 173 | + angleDiff0MeanTCP, angleDiff1MeanTCP, angleDiff2MeanTCP); |
| 174 | + |
| 175 | + BOOST_CHECK_LT(diff0MeanTCP, 2. * diff0MeanClean); |
| 176 | + BOOST_CHECK_LT(angleDiff0MeanTCP, 2. * angleDiff0MeanClean); |
| 177 | + |
| 178 | + BOOST_CHECK_LT(diff1MeanTCP, .1 * diff1MeanNoTC); |
| 179 | + BOOST_CHECK_LT(diff2MeanTCP, .1 * diff2MeanNoTC); |
| 180 | + |
| 181 | + BOOST_CHECK_LT(angleDiff1MeanTCP, .9 * angleDiff1MeanNoTC); |
| 182 | + BOOST_CHECK_LT(angleDiff2MeanTCP, .9 * angleDiff2MeanNoTC); |
| 183 | + |
| 184 | + options.temporalConstraintParams.positionWeight = 0.; |
| 185 | + options.temporalConstraintParams.orientationWeight = 10.; |
| 186 | + BA = sfm::BundleAdjustmentCeres(options); |
| 187 | + |
| 188 | + sfmData = sfmData::SfMData(sfmData_noTC); |
| 189 | + |
| 190 | + // Bundle adjustment with temporal constraint on orientations |
| 191 | + BA.adjust(sfmData, refineOptions); |
| 192 | + double rmseAfterBA_TCO = sfm::RMSE(sfmData); |
| 193 | + BOOST_CHECK_LT(rmseAfterBA_TCO, 1.2 * rmseAfterBA_noTC); |
| 194 | + |
| 195 | + double diff0MeanTCO, diff1MeanTCO, diff2MeanTCO; |
| 196 | + double angleDiff0MeanTCO, angleDiff1MeanTCO, angleDiff2MeanTCO; |
| 197 | + computeTemporalSmoothness(sfmData, diff0MeanTCO, diff1MeanTCO, diff2MeanTCO, |
| 198 | + angleDiff0MeanTCO, angleDiff1MeanTCO, angleDiff2MeanTCO); |
| 199 | + |
| 200 | + BOOST_CHECK_LT(diff0MeanTCO, 2. * diff0MeanClean); |
| 201 | + BOOST_CHECK_LT(angleDiff0MeanTCO, 1.5 * angleDiff0MeanClean); |
| 202 | + |
| 203 | + BOOST_CHECK_LT(diff1MeanTCO, .75 * diff1MeanNoTC); |
| 204 | + BOOST_CHECK_LT(diff2MeanTCO, .75 * diff2MeanNoTC); |
| 205 | + |
| 206 | + BOOST_CHECK_LT(angleDiff1MeanTCO, .9 * angleDiff1MeanNoTC); |
| 207 | + BOOST_CHECK_LT(angleDiff2MeanTCO, .9 * angleDiff2MeanNoTC); |
| 208 | + |
| 209 | + BOOST_CHECK_LT(diff1MeanTCP, .5 * diff1MeanTCO); |
| 210 | + BOOST_CHECK_LT(diff2MeanTCP, .5 * diff2MeanTCO); |
| 211 | + |
| 212 | + BOOST_CHECK_LT(angleDiff1MeanTCO, .9 * angleDiff1MeanTCP); |
| 213 | + BOOST_CHECK_LT(angleDiff2MeanTCO, .9 * angleDiff2MeanTCP); |
| 214 | +} |
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