A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control

Nira Dyn; David Levin; John A. Gregory

doi:10.1145/78956.78958

A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control

Nira Dyn
, David Levin
, John A. Gregory

School of Mathematical Sciences

Brunel University London

Research output: Contribution to journal › Article › peer-review

688 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 language	English
Pages (from-to)	160-169
Number of pages	10
Journal	ACM Transactions on Graphics
Volume	9
Issue number	2
DOIs	https://doi.org/10.1145/78956.78958
State	Published - 4 Jan 1990

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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.",

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AB - 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.

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A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control

Abstract

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