Computing exact aspect graphs of curved objects: Algebraic surfaces |
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Authors: | Sylvain Petitjean Jean Ponce David J. Kriegman |
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Affiliation: | (1) Beckman Institute and Department of Computer Science, University of Illinois, 61801 Urbana, IL;(2) Center for Systems Science, Department of Electrical Engineering, Yale University, 06520-1968 New Haven, CT |
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Abstract: | This article presents an algorithm for computing the exact aspect graph of an opaque solid bounded by a smooth algebraic surface. Orthographic projection is assumed. The algorithm is based on a catalog of visual events available from singularity theory. It uses curve tracing, cell decomposition, homotopy continuation, and ray tracing to construct the regions of the view sphere delineated by visual-event curves. The algorithm has been fully implemented, and examples are presented. |
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