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• 计算机辅助几何设计 • 上一篇    下一篇

三角域上三次DP曲面的扩展

  

  • 出版日期:2011-06-30 发布日期:2015-08-12

Extension of Cubic DP Surfaces over Triangular Domain

  • Online:2011-06-30 Published:2015-08-12

PDF (PC)

198

被引次数

4

摘要： 给出了三角域上带双参数的四次DP混合函数，它是三角域上三次DP 基函数的扩展。分析了该组混合函数的性质并定义了三角域上带双形状参数的四次DP参数曲面。该组混合函数及其参数曲面分别具有与三次DP基函数及三次DP参数曲面类似的性质。当两参数为0时，可分别退化到三次DP基函数及三次DP参数曲面。研究表明，通过改变两个形状参数的取值，既可整体又可局部调整曲面的形状。

关键词: 计算机应用, 曲面设计, DP曲面, 三角域, 形状参数

Abstract: A Class of quartic DP blending functions with two shape parameters is presented, which is an extension of the cubic DP basis functions defined over the triangular domain; Properties of this new blending function are analyzed and the quartic DP parametric surface with two shape parameters over the triangular domain is defined. The surfaces' properties are similar with the cubic DP parametric surfaces. In particular, when the two shape parameters vanish, they degenerate to the cubic DP basis functions and the cubic DP parametric surfaces individually; by changing the two shape parameters, the shape of surface can be adjusted both wholly and locally in invariable control net.

Key words: computer application, surface design, DP surface, triangular domain, shape parameter