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Local surface interpolation with Bézier patches |
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| Authors: | Leon A Shirman Carlo H Squin |
| Affiliation: | Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, U.S.A. |
| Abstract: | A surface interpolation method for meshes of cubic curves is described. A mesh of cubic curve is constructed between the given vertices. This mesh is filled with Bézier patches, so that the surface is represented as a union of geometrically continuous bicubic quadrilateral and/or quartic triangular Bézier patches. The method is local and uses Farin's Farin '83] conditions of G1 continuity between patches. The procedure for finding the needed control points of the Bézier patches is simple and efficient. |
| Keywords: | Surface modeling Bézier patches geometric continuity local interpolation |
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