###
DOI:
Journal of Software:2006.17(zk):64-69

基于流形的光滑曲面构造
王青,鲍虎军
(CAD&CG 国家重点实验室(浙江大学),浙江 杭州 310027)
Construct Smooth Surfaces Based on Manifold
WANG Qing,BAO Hu-Jun
()
Abstract
Chart / table
Reference
Similar Articles
Article :Browse 2315   Download 2595
Received:March 15, 2006    Revised:September 11, 2006
> 中文摘要: 将传统参数曲面的规则定义域推广到一般的二维流形上,并基于定义域微分流形提出了一种新的光滑曲面构造方法.该方法运用最短距离构造基函数,从整体上直接构造出任意拓扑结构的光滑流形曲面,无须分片生成后再进行拼接.而且该算法所生成的流形曲面具有很好的局部性和可控性,NURBS曲面上的很多方法在此曲面上仍然适用.实验结果表明,该构造方法可以构造出非常复杂的曲面.
Abstract:In this paper, the regular domain of traditional parametric surface is generalized to manifold, and a new method is proposed to construct smooth surface based on this domain manifold. This method uses shortest distance to build base function, and creates arbitrary topology smooth surfaces directly without split and joint. The result surfaces based on this method can be controlled easily in locally area, and a lot of algorithms used in NURBS surface also can be applicable here. The experimental results show that the construct method can easily generate complex surface.
文章编号:     中图分类号:    文献标志码:
基金项目:Supported by the National Natural Science Foundation of China under Grant No.60573152 (国家自然科学基金) Supported by the National Natural Science Foundation of China under Grant No.60573152 (国家自然科学基金)
Foundation items:
Reference text:

王 青,鲍虎军.基于流形的光滑曲面构造.软件学报,2006,17(zk):64-69

WANG Qing,BAO Hu-Jun.Construct Smooth Surfaces Based on Manifold.Journal of Software,2006,17(zk):64-69