| Finding Starting Points for Tracing Surface Intersections |
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| 引用本文： | Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering,Xian Jiaotong University,Xian 710049,China. Finding Starting Points for Tracing Surface Intersections[J]. 计算机辅助绘图.设计与制造(英文版), 2003, 0(Z1) |
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| 作者姓名： | Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering Xian Jiaotong University Xian 710049 China |
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| 作者单位： | Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering，Xian Jiaotong University，Xian 710049，China |
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| 摘 要： | 1 Introduction Finding out proper starting points for all the intersection curves between two surfaces is a key process in numerical tracing methods for surface-surface intersection (SSI) problems. A number of methods [1] are introduced to calculate the starting points. Cugini et al. [2] introduced the concept of shrinking bounding boxes to calculate starting points. This method is simple and in some cases effective, but it may miss some intersection components. Muellenheim [3] presented an…
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Finding Starting Points for Tracing Surface Intersections |
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| Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering,Xian Jiaotong University,Xian ,China. Finding Starting Points for Tracing Surface Intersections[J]. CADDM, 2003, 0(Z1) |
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| Authors: | Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering Xian Jiaotong University Xian China |
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| Affiliation: | Li Xueyi Jiang Hong Chen Song Wang Xiaochun School of Mechanical Engineering,Xian Jiaotong University,Xian 710049,China |
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| Abstract: | To find starting points for all the intersection curves, one of the surfaces is subdivided into some small surface patches. Based on a correlative algorithm of computing the minimum distance of two surfaces, the intersections of every patch with another surface are detected, and starting points are calculated by dichotomy. This algorithm shows superior efficiency in the computational complexity and number of iterations needed. It can be used to determine exact starting points on all possible solution curves between any kinds of parametric sculptured surfaces. |
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| Keywords: | starting point surface-surface intersection minimum distance dichotomy |
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