translation recovery unit tests pass
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@ -11,7 +11,7 @@
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/**
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* @file TranslationRecovery.cpp
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* @author Frank Dellaert
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* @author Frank Dellaert, Akshay Krishnan
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* @date March 2020
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* @brief Source code for recovering translations when rotations are given
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*/
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@ -16,16 +16,16 @@
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* @brief Recovering translations in an epipolar graph when rotations are given.
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*/
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#include <map>
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#include <set>
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#include <utility>
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#include <vector>
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#include <gtsam/geometry/Unit3.h>
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#include <gtsam/nonlinear/LevenbergMarquardtOptimizer.h>
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#include <gtsam/nonlinear/Values.h>
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#include <gtsam/sfm/BinaryMeasurement.h>
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#include <utility>
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#include <vector>
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#include <set>
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#include <map>
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namespace gtsam {
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// Set up an optimization problem for the unknown translations Ti in the world
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@ -63,14 +63,15 @@ class TranslationRecovery {
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* @brief Construct a new Translation Recovery object
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*
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* @param relativeTranslations the relative translations, in world coordinate
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* frames, vector of BinaryMeasurements of Unit3, where each key of a measurement
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* is a point in 3D.
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* frames, vector of BinaryMeasurements of Unit3, where each key of a
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* measurement is a point in 3D.
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* @param lmParams (optional) gtsam::LavenbergMarquardtParams that can be
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* used to modify the parameters for the LM optimizer. By default, uses the
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* default LM parameters.
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* default LM parameters.
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*/
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TranslationRecovery(const TranslationEdges &relativeTranslations,
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const LevenbergMarquardtParams &lmParams = LevenbergMarquardtParams());
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TranslationRecovery(
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const TranslationEdges &relativeTranslations,
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const LevenbergMarquardtParams &lmParams = LevenbergMarquardtParams());
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/**
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* @brief Build the factor graph to do the optimization.
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@ -110,8 +111,8 @@ class TranslationRecovery {
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*
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* @param poses SE(3) ground truth poses stored as Values
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* @param edges pairs (a,b) for which a measurement w_aZb will be generated.
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* @return TranslationEdges vector of binary measurements where the keys are
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* the cameras and the measurement is the simulated Unit3 translation
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* @return TranslationEdges vector of binary measurements where the keys are
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* the cameras and the measurement is the simulated Unit3 translation
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* direction between the cameras.
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*/
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static TranslationEdges SimulateMeasurements(
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@ -11,18 +11,29 @@
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/**
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* @file testTranslationRecovery.cpp
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* @author Frank Dellaert
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* @author Frank Dellaert, Akshay Krishnan
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* @date March 2020
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* @brief test recovering translations when rotations are given.
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*/
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#include <CppUnitLite/TestHarness.h>
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#include <gtsam/sfm/TranslationRecovery.h>
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#include <gtsam/slam/dataset.h>
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using namespace std;
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using namespace gtsam;
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// Returns the Unit3 direction as measured in the binary measurement, but
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// computed from the input poses. Helper function used in the unit tests.
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Unit3 GetDirectionFromPoses(const Values& poses,
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const BinaryMeasurement<Unit3>& unitTranslation) {
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const Pose3 wTa = poses.at<Pose3>(unitTranslation.key1()),
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wTb = poses.at<Pose3>(unitTranslation.key2());
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const Point3 Ta = wTa.translation(), Tb = wTb.translation();
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return Unit3(Tb - Ta);
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}
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/* ************************************************************************* */
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// We read the BAL file, which has 3 cameras in it, with poses. We then assume
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// the rotations are correct, but translations have to be estimated from
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@ -47,30 +58,25 @@ TEST(TranslationRecovery, BAL) {
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const auto relativeTranslations = TranslationRecovery::SimulateMeasurements(
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poses, {{0, 1}, {0, 2}, {1, 2}});
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// Check
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Unit3 w_aZb_stored; // measurement between 0 and 1 stored for next unit test
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// Check simulated measurements.
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for (auto& unitTranslation : relativeTranslations) {
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const Pose3 wTa = poses.at<Pose3>(unitTranslation.key1()),
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wTb = poses.at<Pose3>(unitTranslation.key2());
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const Point3 Ta = wTa.translation(), Tb = wTb.translation();
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const Unit3 w_aZb = unitTranslation.measured();
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EXPECT(assert_equal(Unit3(Tb - Ta), w_aZb));
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if (unitTranslation.key1() == 0 && unitTranslation.key2() == 1) {
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w_aZb_stored = unitTranslation.measured();
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}
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EXPECT(assert_equal(GetDirectionFromPoses(poses, unitTranslation),
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unitTranslation.measured()));
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}
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TranslationRecovery algorithm(relativeTranslations);
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const auto graph = algorithm.buildGraph();
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EXPECT_LONGS_EQUAL(3, graph.size());
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// Translation recovery, version 1
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// Run translation recovery
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const double scale = 2.0;
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const auto result = algorithm.run(scale);
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// Check result for first two translations, determined by prior
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EXPECT(assert_equal(Point3(0, 0, 0), result.at<Point3>(0)));
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EXPECT(assert_equal(Point3(2 * w_aZb_stored.point3()), result.at<Point3>(1)));
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EXPECT(assert_equal(
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Point3(2 * GetDirectionFromPoses(poses, relativeTranslations[0])),
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result.at<Point3>(1)));
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// Check that the third translations is correct
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Point3 Ta = poses.at<Pose3>(0).translation();
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@ -83,53 +89,120 @@ TEST(TranslationRecovery, BAL) {
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// EXPECT_DOUBLES_EQUAL(0.0199833, actualError, 1e-5);
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}
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TEST(TranslationRecovery, ZeroRelativeTranslations) {
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// Create a graph with 3 cameras.
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TEST(TranslationRecovery, TwoPointTest) {
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// Create a dataset with 2 poses.
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// __ __
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// \/ \/
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// 0 _____ 1
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// 2 <|
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//
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// 0 and 1 face in the same direction but have a translation offset. 2 is at
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// the same point as 1 but is rotated, with very little FOV overlap.
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// 0 and 1 face in the same direction but have a translation offset.
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Values poses;
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poses.insert(0, Pose3(Rot3(), Point3()));
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poses.insert(1, Pose3(Rot3(), Point3(2, 0, 0)));
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poses.insert(2, Pose3(Rot3::RzRyRx(-M_PI / 2, 0, 0), Point3(2, 0, 0)));
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poses.insert<Pose3>(0, Pose3(Rot3(), Point3(0, 0, 0)));
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poses.insert<Pose3>(1, Pose3(Rot3(), Point3(2, 0, 0)));
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auto relativeTranslations =
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TranslationRecovery::SimulateMeasurements(poses, {{0, 1}, {1, 2}});
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TranslationRecovery::SimulateMeasurements(poses, {{0, 1}});
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// Check
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// Check simulated measurements.
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for (auto& unitTranslation : relativeTranslations) {
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const Pose3 wTa = poses.at<Pose3>(unitTranslation.key1()),
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wTb = poses.at<Pose3>(unitTranslation.key2());
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const Point3 Ta = wTa.translation(), Tb = wTb.translation();
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const Unit3 w_aZb = unitTranslation.measured();
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EXPECT(assert_equal(Unit3(Tb - Ta), w_aZb));
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EXPECT(assert_equal(GetDirectionFromPoses(poses, unitTranslation),
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unitTranslation.measured()));
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}
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TranslationRecovery algorithm(relativeTranslations);
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const auto graph = algorithm.buildGraph();
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EXPECT_LONGS_EQUAL(1, graph.size());
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// Translation recovery, version 1
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const double scale = 2.0;
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const auto result = algorithm.run(scale);
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// Run translation recovery
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const auto result = algorithm.run(/*scale=*/2.0);
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// Check result for first two translations, determined by prior
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EXPECT(assert_equal(Point3(0, 0, 0), result.at<Point3>(0)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(1)));
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}
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TEST(TranslationRecovery, ThreePointTest) {
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// Create a dataset with 3 poses.
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// __ __
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// \/ \/
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// 0 _____ 1
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// \ __ /
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// \\//
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// 3
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//
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// 0 and 1 face in the same direction but have a translation offset. 3 is in
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// the same direction as 0 and 1, in between 0 and 1, with some Y axis offset.
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Values poses;
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poses.insert<Pose3>(0, Pose3(Rot3(), Point3(0, 0, 0)));
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poses.insert<Pose3>(1, Pose3(Rot3(), Point3(2, 0, 0)));
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poses.insert<Pose3>(3, Pose3(Rot3(), Point3(1, -1, 0)));
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auto relativeTranslations = TranslationRecovery::SimulateMeasurements(
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poses, {{0, 1}, {1, 3}, {3, 0}});
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// Check simulated measurements.
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for (auto& unitTranslation : relativeTranslations) {
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EXPECT(assert_equal(GetDirectionFromPoses(poses, unitTranslation),
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unitTranslation.measured()));
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}
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TranslationRecovery algorithm(relativeTranslations);
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const auto graph = algorithm.buildGraph();
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EXPECT_LONGS_EQUAL(3, graph.size());
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const auto result = algorithm.run(/*scale=*/2.0);
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// Check result
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EXPECT(assert_equal(Point3(0, 0, 0), result.at<Point3>(0)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(1)));
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EXPECT(assert_equal(Point3(1, -1, 0), result.at<Point3>(3)));
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}
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TEST(TranslationRecovery, TwoPointsAndZeroTranslation) {
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// Create a dataset with 3 poses.
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// __ __
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// \/ \/
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// 0 _____ 1
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// 2 <|
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//
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// 0 and 1 face in the same direction but have a translation offset. 2 is at
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// the same point as 1 but is rotated, with little FOV overlap.
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Values poses;
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poses.insert<Pose3>(0, Pose3(Rot3(), Point3(0, 0, 0)));
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poses.insert<Pose3>(1, Pose3(Rot3(), Point3(2, 0, 0)));
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poses.insert<Pose3>(2, Pose3(Rot3::RzRyRx(-M_PI / 2, 0, 0), Point3(2, 0, 0)));
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auto relativeTranslations =
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TranslationRecovery::SimulateMeasurements(poses, {{0, 1}, {1, 2}});
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// Check simulated measurements.
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for (auto& unitTranslation : relativeTranslations) {
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EXPECT(assert_equal(GetDirectionFromPoses(poses, unitTranslation),
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unitTranslation.measured()));
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}
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TranslationRecovery algorithm(relativeTranslations);
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const auto graph = algorithm.buildGraph();
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// There is only 1 non-zero translation edge.
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EXPECT_LONGS_EQUAL(1, graph.size());
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// Run translation recovery
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const auto result = algorithm.run(/*scale=*/2.0);
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// Check result
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EXPECT(assert_equal(Point3(0, 0, 0), result.at<Point3>(0)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(1)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(2)));
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}
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TEST(TranslationRecovery, ZeroRelativeTranslations4Cameras) {
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// Create a graph with 4 cameras.
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TEST(TranslationRecovery, ThreePointsAndZeroTranslation) {
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// Create a dataset with 4 poses.
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// __ __
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// \/ \/
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// 0 _____ 1
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// \ 2 <|
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// \ /
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// \ __ 2 <|
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// \\//
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// 3
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//
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// 0 and 1 face in the same direction but have a translation offset. 2 is at
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@ -137,32 +210,28 @@ TEST(TranslationRecovery, ZeroRelativeTranslations4Cameras) {
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// the same direction as 0 and 1, in between 0 and 1, with some Y axis offset.
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Values poses;
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poses.insert(0, Pose3(Rot3(), Point3()));
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poses.insert(1, Pose3(Rot3(), Point3(2, 0, 0)));
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poses.insert(2, Pose3(Rot3::RzRyRx(-M_PI / 2, 0, 0), Point3(2, 0, 0)));
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poses.insert(3, Pose3(Rot3(), Point3(1, -1, 0)));
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poses.insert<Pose3>(0, Pose3(Rot3(), Point3(0, 0, 0)));
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poses.insert<Pose3>(1, Pose3(Rot3(), Point3(2, 0, 0)));
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poses.insert<Pose3>(2, Pose3(Rot3::RzRyRx(-M_PI / 2, 0, 0), Point3(2, 0, 0)));
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poses.insert<Pose3>(3, Pose3(Rot3(), Point3(1, -1, 0)));
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auto relativeTranslations = TranslationRecovery::SimulateMeasurements(
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poses, {{0, 1}, {1, 2}, {1, 3}, {3, 0}});
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// Check
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// Check simulated measurements.
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for (auto& unitTranslation : relativeTranslations) {
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const Pose3 wTa = poses.at<Pose3>(unitTranslation.key1()),
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wTb = poses.at<Pose3>(unitTranslation.key2());
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const Point3 Ta = wTa.translation(), Tb = wTb.translation();
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const Unit3 w_aZb = unitTranslation.measured();
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EXPECT(assert_equal(Unit3(Tb - Ta), w_aZb));
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EXPECT(assert_equal(GetDirectionFromPoses(poses, unitTranslation),
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unitTranslation.measured()));
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}
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TranslationRecovery algorithm(relativeTranslations);
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const auto graph = algorithm.buildGraph();
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EXPECT_LONGS_EQUAL(3, graph.size());
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// Translation recovery, version 1
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const double scale = 2.0;
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const auto result = algorithm.run(scale);
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// Run translation recovery
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const auto result = algorithm.run(/*scale=*/2.0);
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// Check result for first two translations, determined by prior
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// Check result
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EXPECT(assert_equal(Point3(0, 0, 0), result.at<Point3>(0)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(1)));
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EXPECT(assert_equal(Point3(2, 0, 0), result.at<Point3>(2)));
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