A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control

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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 C1 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. © 1990, ACM. All rights reserved.

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Dyn, N., Levin, D., & Gregory, J. A. (1990). A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control. ACM Transactions on Graphics (TOG), 9(2), 160–169. https://doi.org/10.1145/78956.78958

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