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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2003, Vol. 4 Issue (6): 637-642    DOI: 10.1631/jzus.2003.0637
Electronics & Information Technology     
Efficient volume preserving approach for skeleton-based implicit surfaces
SHI Hong-bing, TONG Ruo-feng, DONG Jin-xiang
State Key Laboratory of CAD & CG, Institute of Artificial Intelligence, Department of Computer Science and Engineering, Zhejiang University, Hangzhou 310027, China
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Abstract  This paper presents an efficient way to preserve the volume of implicit surfaces generated by skeletons. Recursive subdivision is used to efficiently calculate the volume. The criterion for subdivision is obtained by using the property of density functions and treating different types of skeletons respectively to get accurate minimum and maximum distances from a cube to a skeleton. Compared with the criterion generated by other ways such as using traditional Interval Analysis, Affine Arithmetic, or Lipschitz condition, our approach is much better both in speed and accuracy.

Key wordsVolume preserving      Skeleton-based implicit surface      Subdivision criterion      Interval analysis     
Received: 02 December 2002     
CLC:  TP391.72  
Cite this article:

SHI Hong-bing, TONG Ruo-feng, DONG Jin-xiang. Efficient volume preserving approach for skeleton-based implicit surfaces. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2003, 4(6): 637-642.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2003.0637     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2003/V4/I6/637

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