normalized needs to be called explicitly
parent
06ac627249
commit
2e1cc3ca35
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@ -435,7 +435,7 @@ namespace gtsam {
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* This means either re-orthogonalizing the Matrix representation or
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* normalizing the quaternion representation.
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*/
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Rot3 normalize(const Rot3& R) const;
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Rot3 normalized() const;
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/// @deprecated, this is base 1, and was just confusing
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Point3 column(int index) const;
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@ -109,7 +109,7 @@ Rot3 Rot3::RzRyRx(double x, double y, double z, OptionalJacobian<3, 1> Hx,
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}
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/* ************************************************************************* */
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Rot3 Rot3::normalize(const Rot3& R) const {
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Rot3 Rot3::normalized() const {
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/// Implementation from here: https://stackoverflow.com/a/23082112/1236990
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/// Theory: https://drive.google.com/file/d/0B9rLLz1XQKmaZTlQdV81QjNoZTA/view
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@ -117,9 +117,11 @@ Rot3 Rot3::normalize(const Rot3& R) const {
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/// error to the x and y rows, and then performs a Taylor expansion to
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/// orthogonalize.
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Matrix3 rot = R.matrix(), rot_new;
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Matrix3 rot = rot_.matrix(), rot_orth;
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if (std::fabs(rot.determinant()-1) < 1e-12) return R;
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// Check if determinant is already 1.
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// If yes, then return the current Rot3.
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if (std::fabs(rot.determinant()-1) < 1e-12) return Rot3(rot_);
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Vector3 x = rot.block<1, 3>(0, 0), y = rot.block<1, 3>(1, 0);
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double error = x.dot(y);
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@ -127,16 +129,16 @@ Rot3 Rot3::normalize(const Rot3& R) const {
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Vector3 x_ort = x - (error / 2) * y, y_ort = y - (error / 2) * x;
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Vector3 z_ort = x_ort.cross(y_ort);
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rot_new.block<1, 3>(0, 0) = 0.5 * (3 - x_ort.dot(x_ort)) * x_ort;
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rot_new.block<1, 3>(1, 0) = 0.5 * (3 - y_ort.dot(y_ort)) * y_ort;
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rot_new.block<1, 3>(2, 0) = 0.5 * (3 - z_ort.dot(z_ort)) * z_ort;
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rot_orth.block<1, 3>(0, 0) = 0.5 * (3 - x_ort.dot(x_ort)) * x_ort;
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rot_orth.block<1, 3>(1, 0) = 0.5 * (3 - y_ort.dot(y_ort)) * y_ort;
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rot_orth.block<1, 3>(2, 0) = 0.5 * (3 - z_ort.dot(z_ort)) * z_ort;
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return Rot3(rot_new);
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return Rot3(rot_orth);
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}
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/* ************************************************************************* */
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Rot3 Rot3::operator*(const Rot3& R2) const {
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return normalize(Rot3(rot_*R2.rot_));
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return Rot3(rot_*R2.rot_);
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}
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/* ************************************************************************* */
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@ -87,12 +87,12 @@ namespace gtsam {
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}
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/* ************************************************************************* */
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Rot3 Rot3::normalize(const Rot3& R) const {
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return Rot3(R.quaternion_.normalized());
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Rot3 Rot3::normalized() const {
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return Rot3(quaternion_.normalized());
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}
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/* ************************************************************************* */
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Rot3 Rot3::operator*(const Rot3& R2) const {
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return normalize(Rot3(quaternion_ * R2.quaternion_));
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return Rot3(quaternion_ * R2.quaternion_);
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}
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/* ************************************************************************* */
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@ -923,7 +923,7 @@ TEST(Rot3, determinant) {
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R_01 = R_w0.between(R_w1);
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R_w2 = R_w1 * R_01;
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R_w0 = R_w1;
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R_w1 = R_w2;
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R_w1 = R_w2.normalized();
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actual = R_w2.matrix().determinant();
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EXPECT_DOUBLES_EQUAL(expected, actual, 1e-7);
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