| 投影变换矩阵式及变换矩阵 |
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| 引用本文： | 汪令江. 投影变换矩阵式及变换矩阵[J]. 工程图学学报, 1992, 0(1): 23-30 |
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| 作者姓名： | 汪令江 |
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| 作者单位： | 成都大学 |
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| 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。
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| 关 键 词： | 计算机 图形学 投影变换 |
MATRIX EQUATION OF PROJECTIVE TRANSFORMATION AND ITS TRANSFORMATION MATRIX |
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| Wang Lingjiang Chengdu University. MATRIX EQUATION OF PROJECTIVE TRANSFORMATION AND ITS TRANSFORMATION MATRIX[J]. Journal of Engineering Graphics, 1992, 0(1): 23-30 |
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| Authors: | Wang Lingjiang Chengdu University |
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| Affiliation: | Wang Lingjiang Chengdu University |
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| Abstract: | 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. |
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| Keywords: | computer graphics projective transformation 3D-graphics projective system matrix projective transformation matrix |
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