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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.4 P.470-480


Trimming self-intersections in swept volume solid modeling

Author(s):  Zhi-qi XU, Xiu-zi YE, Zhi-yang CHEN, Yin ZHANG, San-yuan ZHANG

Affiliation(s):  State Key Laboratory of CAD & CG, School of Computer Science and Technology, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   learlynn@zju.edu.cn, syzhang@cs.zju.edu.cn

Key Words:  Self-intersection, Swept volume (SV), Solid modeling

Zhi-qi XU, Xiu-zi YE, Zhi-yang CHEN, Yin ZHANG, San-yuan ZHANG. Trimming self-intersections in swept volume solid modeling[J]. Journal of Zhejiang University Science A, 2008, 9(4): 470-480.

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author="Zhi-qi XU, Xiu-zi YE, Zhi-yang CHEN, Yin ZHANG, San-yuan ZHANG",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Trimming self-intersections in swept volume solid modeling
%A Zhi-qi XU
%A Xiu-zi YE
%A Zhi-yang CHEN
%A San-yuan ZHANG
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 4
%P 470-480
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071357

T1 - Trimming self-intersections in swept volume solid modeling
A1 - Zhi-qi XU
A1 - Xiu-zi YE
A1 - Zhi-yang CHEN
A1 - Yin ZHANG
A1 - San-yuan ZHANG
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 4
SP - 470
EP - 480
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A071357

Swept volume solid modeling has been applied to many areas such as NC machining simulation and verification, robot workspace analysis, collision detection, and CAD. But self-intersections continue to be a challenging problem in the boundary representation of swept volume solids. A novel algorithm is presented in this paper to trim self-intersection regions in swept volume solids modeling. This trimming algorithm consists of two major steps: (1) roughly detecting self-intersection regions by checking intersections or overlapping of the envelop profiles; (2) splitting the whole envelop surfaces of the swept volume solid into separate non-self-intersecting patches to trim global self-intersections, and to trim local self-intersections, dividing local self-intersecting regions into patches and replacing self-intersecting patches with non-self-intersecting ones. Examples show that our algorithm is efficient and robust.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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