A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control

Nira Dyn, David Levin, John A. Gregory

Research output: Contribution to journalArticlepeer-review

657 Scopus citations

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.

Original languageEnglish
Pages (from-to)160-169
Number of pages10
JournalACM Transactions on Graphics
Volume9
Issue number2
DOIs
StatePublished - 4 Jan 1990

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