Abstract
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.
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Project supported by the National Natural Science Foundation of China (No. 60473106), the Hi-Tech Research and Development Program (863) of China (Nos. 2007AA01Z311 and 2007AA04Z1A5), and the National Research Foundation for the Doctoral Program of Higher Education of China (No. 20060335114)
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Xu, Zq., Ye, Xz., Chen, Zy. et al. Trimming self-intersections in swept volume solid modeling. J. Zhejiang Univ. Sci. A 9, 470–480 (2008). https://doi.org/10.1631/jzus.A071357
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DOI: https://doi.org/10.1631/jzus.A071357