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:, ,
      • , ,
  • 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:

旋转矩阵Rotation matrix

  • ,每一列代表了各自坐标轴的旋转

正向运动学模型

Transformation matrices

DH参数

旋量法