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A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics · 1990 · Vol. 9(2) · pp. 160–169
Nira Dyn✉(Tel Aviv University)David S. Levine(Tel Aviv University)John Gregory(Brunel University of London)
Abstract
A new interpolatory subdivision scheme for surface design is presented. The new scheme is designed for a general triangulation of control points and has a tension parameter that provides design flexibility. The resulting limit surface is C 1 for a specified range of the tension parameter, with a few exceptions. Application of the butterfly scheme and the role of the tension parameter are demonstrated by several examples.
Advanced Numerical Analysis TechniquesComputational Geometry and Mesh GenerationManufacturing Process and OptimizationSubdivisionInterpolation (computer graphics)ButterflySubdivision surfaceScheme (mathematics)Limit (mathematics)Surface (topology)Computer scienceControl pointFlexibility (engineering)
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