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Numerical calculation method of the curved surface, which is parameterized in the eigenspace of the subdivision matrix of irregular patch
Numerical calculation method of the curved surface, which is parameterized in the eigenspace of the subdivision matrix of irregular patch
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机译:在不规则斑块细分矩阵的特征空间中参数化的曲面的数值计算方法
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摘要
(57) [summary] I determined by computer graphics [challenge] the exact curved surface. Using [SOLUTION] computer, a method for determining the position characteristics of the computer surface model on position is described by a set of parameters, one set has a set of subdivision rules surface model corresponding It is written in the control vertices of the control vertices can be parameterized set of control vertices are regular, the steps of: accepting an input value that specifies the coordinates describing the control vertices surface model, is subdivided coordinates of the control vertices are given and generating a projection control vertices projected onto eigenspace derived from a matrix representation of the rule, the step of determining which set of nested hierarchically tile regular the surface model is or contains the position and, I and calculating as a function of the control vertices and projected nested tile, the order of one of the control vertices, the determined its position. Calculated positions are stored in the computer memory.
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