Kinematics
a branch of dynamics that deals with aspects of motion apart from considerations of mass and force
- Properties of a rotation matrix
belongs to Special Orthogonal group - orthonormal basis in
- 互相正交:
, , - 单位向量:
, , , ,
- orthonormal basis in
- Properties of a homogeneous transformation matrix
belongs to Special Euclidean group - The determinant is always
- The product of two h.t. matrices is an h.t. matrix:
- Multiplying an h.t. matrix by its inverse yields an identity:
- The determinant is always
旋转矩阵Rotation matrix
,每一列代表了各自坐标轴的旋转