Journal article
Determining intersection curves between surfaces of two solids
Computer aided design, Vol.28(6-7), pp.539-549
1996
DOI: 10.1016/0010-4485(95)00068-2
Abstract
Intersection curves between two parametric surfaces are numerically computed using continuation methods. A starting point to initiate the algorithm is determined using the Moore-Penrose pseudo-inverse. Singularities along the curve are detected using a row-rank deficiency of the Jacobian. At singular points where two or more curves intersect, bifurcation points are calculated. To numerically compute a multiple of curves at a bifurcation point, a 2nd-order expansion method is used to render the equation into a quadratic form, such that the tangents are computed. The solution is then switched to a bifurcation branch. The method is demonstrated for two intersecting surfaces having two intersecting curves. The method is also validated for special cases through a number of examples.
Details
- Title: Subtitle
- Determining intersection curves between surfaces of two solids
- Creators
- K ABDEL-MALEK - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242, United StatesH. J YEH - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Computer aided design, Vol.28(6-7), pp.539-549
- DOI
- 10.1016/0010-4485(95)00068-2
- ISSN
- 0010-4485
- eISSN
- 1879-2685
- Publisher
- Elsevier Science; Oxford
- Language
- English
- Date published
- 1996
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
- Record Identifier
- 9984064225302771
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