Triangular √3-subdivision Schemes: The Regular Case

Qingtang Jiang; Peter Oswald

doi:10.1016/S0377-0427(02)00904-4

Triangular √3-subdivision Schemes: The Regular Case

Qingtang Jiang, Peter Oswald

University of Missouri-St. Louis

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

Abstract

The paper deals with the investigation of triangular -subdivision schemes in the stationary shift-invariant setting. In Section 2 we collect the available theory on refinable functions (subdivision surfaces), with emphasis on their Sobolev and Hölder smoothness. Families of interpolatory and approximating -subdivision schemes are investigated in Section 3. Some dual -subdivision schemes which are related to vector-valued refinable functions are also analyzed. For this purpose, we have developed Matlab routines for numerically investigating properties of vector subdivision schemes.

Original language	American English
Journal	Journal of Computational and Applied Mathematics
Volume	156
DOIs	https://doi.org/10.1016/S0377-0427(02)00904-4
State	Published - Jul 1 2003

Disciplines

Mathematics
Applied Mathematics
Analysis

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AB - The paper deals with the investigation of triangular -subdivision schemes in the stationary shift-invariant setting. In Section 2 we collect the available theory on refinable functions (subdivision surfaces), with emphasis on their Sobolev and Hölder smoothness. Families of interpolatory and approximating -subdivision schemes are investigated in Section 3. Some dual -subdivision schemes which are related to vector-valued refinable functions are also analyzed. For this purpose, we have developed Matlab routines for numerically investigating properties of vector subdivision schemes.

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Triangular √3-subdivision Schemes: The Regular Case

Abstract

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