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Numerical calculation method of the curved surface, which is parameterized in the eigenspace of the subdivision matrix of irregular patch

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

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.
机译:(57)[摘要]我通过计算机图形确定了[挑战]确切的曲面。使用[SOLUTION]计算机,通过一组参数描述一种确定计算机表面模型在位置上的位置特性的方法,其中一组具有一组对应的细分规则表面模型。将其写入控制顶点的控制顶点中可以参数化的控制顶点的集合是规则的,其步骤如下:接受一个输入值,该输入值指定描述控制顶点表面模型的坐标,给出控制顶点的细分坐标,并生成投影到控制顶点的投影控制顶点。规则的矩阵表示形式,确定表面模型是或包含位置的嵌套层次图块规则集的步骤,并根据控制顶点和投影的嵌套图块计算控制顶点之一的顺序,确定其位置。计算出的位置存储在计算机内存中。

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