摘要
根据几何原理构造了投影体系矩阵(PSM),利用向量几何的形式,建立投影(包括平行投影和中心投影)变换矩阵式。得出投影体系矩阵的逆阵就是投影变换矩阵(PTM)的结论。这种构造变换矩阵的方法与实际投影(观察)过程相同。通过应用程序设计说明它简明、直观且几何意义明确,并且在中心投影(透视投影)中不会产生变形。文中还讨论了投影坐标变换和投影深度坐标等问题。
This paper presents a new method of constructing Matrix for of projective transformation.The method that differs from the old ones for setting up Projective Transformation Matrix(PTM)in only requiring a Projective System Matrix(PSM),which is brief,intuitive and ofexplicit geometrical implication.And inverse matrix of PSM is PTM of projective system definedby PSM.It has a clear projective principle,a brief resultant including both parallel projectivetransformation and central projective transformation.And is valuable in application.
出处
《工程图学学报》
CSCD
1992年第1期23-30,共8页
Journal of Engineering Graphics
关键词
计算机
图形学
投影变换
computer graphics
projective transformation
3D-graphics
projective system matrix
projective transformation matrix