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50  // typedef typename Matrix<Scalar,4,1> Coefficients;
52 typedef Matrix<Scalar,3,1> Vector3;
53 /** the equivalent rotation matrix type */
54 typedef Matrix<Scalar,3,3> Matrix3;
138 /** \returns an equivalent 3x3 rotation matrix */
218 typedef Matrix<_Scalar,4,1,_Options> Coefficients;
263 * - a rotation matrix expression,
315 typedef Map<Matrix<_Scalar,4,1>, _Options> Coefficients;
323 typedef Map<const Matrix<_Scalar,4,1>, _Options> Coefficients;
463 * then it is much more efficient to first convert it to a 3x3 Matrix.
473 // of the conversion to a Matrix followed by a Matrix/Vector product.
512 * - if \a xpr is a 3x3 matrix, then \a xpr is assumed to be rotation matrix
526 /** Convert the quaternion to a 3x3 rotation matrix. The quaternion is required to
595 Matrix<Scalar,2,3> m; m << v0.transpose(), v1.transpose();
596 JacobiSVD<Matrix<Scalar,2,3> > svd(m, ComputeFullV);
753 // set from a rotation matrix