• CN:11-2187/TH
  • ISSN:0577-6686

›› 2007, Vol. 43 ›› Issue (5): 14-18.

• 论文 • 上一篇    下一篇

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小波多分辨率造型中基于能量法约束条件的处理

殷金祥;沈利冰;陈关龙;林忠钦   

  1. 上海交通大学机械工程与动力学院
  • 发布日期:2007-05-15

APPROACH TO CONSTRAINTS IN MRA MODELING BASED ON VARIATIONAL PRINCIPLES

YIN Jinxiang;SHEN Libing;CHEN Guanlong LIN Zhongqin   

  1. School of Mechanical Engineering, Shanghai Jiaotong University
  • Published:2007-05-15

摘要: 针对小波多分辨率造型中的约束问题,结合能量法实现小波编辑过程中约束的处理。由于B样条曲线曲面的线性约束条件可用与其相关的控制点来表示,而不同分辨率层的控制点又可以通过小波变换的方法进行相互转换,由此可将不同分辨率层的约束条件转换并影射到最高分辨率层。再利用小波多分辨率特性结合能量法对约束条件进行转换。在处理最高分辨率层的信息时,由于小波基和原始B样条基的等价关系,可以选用反映曲线大致走向的底层基函数及其控制顶点作为初值进行迭代计算,此时由于系统的自由度少因而迭代速度就变得很快,利用这种方法可以大大提升计算速度。

关键词: 能量法, 小波多分辨率造型, 约束, 转换

Abstract: In order to solve the problem of constraints in MRA modeling, based on the principle of energy method to solve MRA constraints, the idea of wavelet constraints transform is proposed. Since B-spline curve/surface constraints can be de-noted by control points and different resolution control points can be expressed each other by wavelet transform, constraint condition in different resolution can be translated to a single resolution (high resolution), then based on MRA characters and energy method, at the beginning of optimization lowest resolu-tion control points are used, and because of few control points in the lowest resolution, the speed of optimization is greatly improved.

Key words: Constraint, Transformation Energy method, MRA modeling

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