Handle q_i = 0 (or NaN) for LOST
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@ -95,16 +95,37 @@ Point3 triangulateLOST(const std::vector<Pose3>& poses,
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for (size_t i = 0; i < m; i++) {
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const Pose3& wTi = poses[i];
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// TODO(akshay-krishnan): are there better ways to select j?
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const int j = (i + 1) % m;
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int j = (i + 1) % m;
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const Pose3& wTj = poses[j];
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const Point3 d_ij = wTj.translation() - wTi.translation();
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Point3 d_ij = wTj.translation() - wTi.translation();
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Point3 wZi = wTi.rotation().rotate(calibratedMeasurements[i]);
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Point3 wZj = wTj.rotation().rotate(calibratedMeasurements[j]);
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double num_i = wZi.cross(wZj).norm();
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double den_i = d_ij.cross(wZj).norm();
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const Point3 wZi = wTi.rotation().rotate(calibratedMeasurements[i]);
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const Point3 wZj = wTj.rotation().rotate(calibratedMeasurements[j]);
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// Handle q_i = 0 (or NaN), which arises if the measurement vectors, wZi and wZj, coincide
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// (or the baseline vector coincides with the jth measurement vector).
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if (num_i == 0 || den_i == 0) {
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bool success = false;
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for (size_t k = 2; k < m; k++) {
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j = (i + k) % m;
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const Pose3& wTj = poses[j];
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d_ij = wTj.translation() - wTi.translation();
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wZj = wTj.rotation().rotate(calibratedMeasurements[j]);
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num_i = wZi.cross(wZj).norm();
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den_i = d_ij.cross(wZj).norm();
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if (num_i > 0 && den_i > 0) {
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success = true;
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break;
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}
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}
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if (!success) throw(TriangulationUnderconstrainedException());
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}
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// Note: Setting q_i = 1.0 gives same results as DLT.
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const double q_i = wZi.cross(wZj).norm() / (measurementNoise->sigma() * d_ij.cross(wZj).norm());
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const double q_i = num_i / (measurementNoise->sigma() * den_i);
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const Matrix23 coefficientMat = q_i *
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skewSymmetric(calibratedMeasurements[i]).topLeftCorner(2, 3) *
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@ -117,7 +138,7 @@ Point3 triangulateLOST(const std::vector<Pose3>& poses,
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Eigen::ColPivHouseholderQR<Matrix> A_Qr = A.colPivHouseholderQr();
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A_Qr.setThreshold(rank_tol);
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// if (A_Qr.rank() < 3) throw(TriangulationUnderconstrainedException());
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if (A_Qr.rank() < 3) throw(TriangulationUnderconstrainedException());
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return A_Qr.solve(b);
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}
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