A 4-point interpolatory subdivision scheme for curve design

Nira Dyn; David Levin; John A. Gregory

doi:10.1016/0167-8396(87)90001-X

A 4-point interpolatory subdivision scheme for curve design

Nira Dyn^*, David Levin, John A. Gregory

^*Corresponding author for this work

School of Mathematical Sciences

Brunel University London

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

526 Scopus citations

Abstract

A 4-point interpolatory subdivision scheme with a tension parameter is analysed. It is shown that for a certain range of the tension parameter the resulting curve is C¹. The role of the tension parameter is demonstrated by a few examples. The application to surfaces and some further potential generalizations are discussed.

Original language	English
Pages (from-to)	257-268
Number of pages	12
Journal	Computer Aided Geometric Design
Volume	4
Issue number	4
DOIs	https://doi.org/10.1016/0167-8396(87)90001-X
State	Published - Dec 1987

Keywords

Subdivision
curves
interpolation
point insertion
surfaces

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10.1016/0167-8396(87)90001-X

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title = "A 4-point interpolatory subdivision scheme for curve design",

abstract = "A 4-point interpolatory subdivision scheme with a tension parameter is analysed. It is shown that for a certain range of the tension parameter the resulting curve is C1. The role of the tension parameter is demonstrated by a few examples. The application to surfaces and some further potential generalizations are discussed.",

keywords = "Subdivision, curves, interpolation, point insertion, surfaces",

author = "Nira Dyn and David Levin and Gregory, {John A.}",

year = "1987",

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AU - Levin, David

AU - Gregory, John A.

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AB - A 4-point interpolatory subdivision scheme with a tension parameter is analysed. It is shown that for a certain range of the tension parameter the resulting curve is C1. The role of the tension parameter is demonstrated by a few examples. The application to surfaces and some further potential generalizations are discussed.

KW - Subdivision

KW - curves

KW - interpolation

KW - point insertion

KW - surfaces

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JO - Computer Aided Geometric Design

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A 4-point interpolatory subdivision scheme for curve design

Abstract

Keywords

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