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Sanitized/collapsed derivatives

release/4.3a0
Frank Dellaert 2013-12-24 00:36:54 -05:00
parent 44d03e638e
commit d6edd1db07
1 changed files with 18 additions and 17 deletions
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33
gtsam/slam/tests/testEssentialMatrixFactor.cpp
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@ -57,40 +57,41 @@ public:
// Project to normalized image coordinates, then uncalibrate // Project to normalized image coordinates, then uncalibrate
Point2 pi; Point2 pi;
if (!DE && !Dd) { if (!DE && !Dd) {
Point3 d1T2 = d * E.direction().point3();
Point3 _1T2 = E.direction().point3();
Point3 d1T2 = d * _1T2;
Point3 dP2 = E.rotation().unrotate(dP1 - d1T2); Point3 dP2 = E.rotation().unrotate(dP1 - d1T2);
Point2 pn = SimpleCamera::project_to_camera(dP2); Point2 pn = SimpleCamera::project_to_camera(dP2);
pi = K_.uncalibrate(pn); pi = K_.uncalibrate(pn);
} else { } else {
// TODO, clean up this expensive mess w Mathematica // TODO, clean up this expensive mess w Mathematica
Matrix D_1T2_dir; // 3*2 Matrix D_1T2_dir; // 3*2
Point3 _1T2 = E.direction().point3(D_1T2_dir); Point3 _1T2 = E.direction().point3(D_1T2_dir);
Matrix Dd1T2_dir = d * D_1T2_dir; // 3*2
Matrix Dd1T2_d = _1T2.vector(); // 3*1
Point3 d1T2 = d * _1T2; Point3 d1T2 = d * _1T2;
Matrix Dpoint_dir = -Dd1T2_dir; // 3*2
Matrix Dpoint_d = -Dd1T2_d; // 3*1
Point3 point = dP1 - d1T2;
Matrix DdP2_rot, DP2_point; Matrix DdP2_rot, DP2_point;
Point3 dP2 = E.rotation().unrotate(point, DdP2_rot, DP2_point); Point3 dP2 = E.rotation().unrotate(dP1 - d1T2, DdP2_rot, DP2_point);
Matrix DdP2_E(3, 5);
DdP2_E << DdP2_rot, DP2_point * Dpoint_dir; // (3*3), (3*3) * (3*2)
Matrix DdP2_d = DP2_point * Dpoint_d; // (3*3) * (3*1)
Matrix Dpn_dP2; // 2*3 Matrix Dpn_dP2; // 2*3
Point2 pn = SimpleCamera::project_to_camera(dP2, Dpn_dP2); Point2 pn = SimpleCamera::project_to_camera(dP2, Dpn_dP2);
Matrix Dpn_E = Dpn_dP2 * DdP2_E; // (2*3) * (3*5)
Matrix Dpn_d = Dpn_dP2 * DdP2_d; // (2*3) * (3*1)
Matrix Dpi_pn; // 2*2 Matrix Dpi_pn; // 2*2
pi = K_.uncalibrate(pn, boost::none, Dpi_pn); pi = K_.uncalibrate(pn, boost::none, Dpi_pn);
if (DE)
*DE = Dpi_pn * Dpn_E; // (2*2) * (2*5) if (DE) {
Matrix DdP2_E(3, 5);
DdP2_E << DdP2_rot, - DP2_point * d * D_1T2_dir; // (3*3), (3*3) * (3*2)
*DE = Dpi_pn * (Dpn_dP2 * DdP2_E); // (2*2) * (2*3) * (3*5)
}
if (Dd) if (Dd)
*Dd = Dpi_pn * Dpn_d; // (2*2) * (2*1) // (2*2) * (2*3) * (3*3) * (3*1)
*Dd = - (Dpi_pn * (Dpn_dP2 * (DP2_point * _1T2.vector())));
} }
Point2 reprojectionError = pi - pB_; Point2 reprojectionError = pi - pB_;
return reprojectionError.vector(); return reprojectionError.vector();