图形学中绕任意轴旋转矩阵的推广

Generalization of Rotation Matrix around Arbitrary Axis in Graphics

以图形学中绕任意轴旋转的矩阵为模板,把投影中心到投影面的垂线看作是任意轴,推导了任意投影面的平行投影矩阵、任意投影中心与任意投影面的透视投影矩阵。用统一的矩阵形式表达任意投影,有助于图形学教学。

With the rotation matrix around an arbitrary axis in graphics as a template, taking the perpendicular line from projection center to projection plane as arbitrary axis, the parallel projection matrix with an arbitrary projection plane, the perspective projection matrix with an arbitrary projection center and projection arbitrary plane are deduced. Arbitrary projection can be expressed by a uniform matrix mode, which is helpful for graphics teaching.