Interpolating and approximating implicit surfaces from polygon soup

被引:162
作者
Shen, C [1 ]
O'Brien, JF [1 ]
Shewchuk, JR [1 ]
机构
[1] Univ Calif Berkeley, Berkeley, CA 94720 USA
来源
ACM TRANSACTIONS ON GRAPHICS | 2004年 / 23卷 / 03期
关键词
implicit surfaces; polygon soup; physically based animation; surface smoothing; topological simplification; simulation envelopes; point-based surfaces; surface representation; surface reconstruction;
D O I
10.1145/1015706.1015816
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper describes a method for building interpolating or approximating implicit surfaces from polygonal data. The user can choose to generate a surface that exactly interpolates the polygons, or a surface that approximates the input by smoothing away features smaller than some user-specified size. The implicit functions are represented using a moving least-squares formulation with constraints integrated over the polygons. The paper also presents an improved method for enforcing normal constraints and an iterative procedure for ensuring that the implicit surface tightly encloses the input vertices.
引用
收藏
页码:896 / 904
页数:9
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