Local surface interpolation with Bézier patches

Authors:
Leon A. Shirman;Carlo H. Séquin
Affiliations:
Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, U.S.A.;Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, U.S.A.
Venue:
Computer Aided Geometric Design
Year:
1987

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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 Bezier patches, so that the surface is represented as a union of geometrically continuous bicubic quadrilateral and/or quartic triangular Bezier patches. The method is local and uses Farin's [Farin '83] conditions of G^1 continuity between patches. The procedure for finding the needed control points of the Bezier patches is simple and efficient.