Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case

Charles K. Chui; Charles K. Chui; Qingtang Jiang; Rokhaya N. Ndao

doi:10.1016/j.jmaa.2007.05.070

Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case

Charles K. Chui, Charles K. Chui, Qingtang Jiang, Rokhaya N. Ndao

University of Missouri-St. Louis

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

Abstract

This paper is devoted to the study of triangular 7 and quadrilateral 5 surface subdivisions. Both approximation and interpolatory subdivision schemes are considered, with illustrative examples of both scalar-valued and matrix-valued 7 and 5 subdivision masks that satisfy the sum rule of sufficiently high orders. In particular, “optimal” Sobolev smoothness is determined and Holder smoothness estimates are presented.

Original language	American English
Journal	Journal of Mathematical Analysis and Applications
Volume	338
DOIs	https://doi.org/10.1016/j.jmaa.2007.05.070
State	Published - Feb 1 2008

Disciplines

Analysis
Mathematics

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abstract = " This paper is devoted to the study of triangular 7 and quadrilateral 5 surface subdivisions. Both approximation and interpolatory subdivision schemes are considered, with illustrative examples of both scalar-valued and matrix-valued 7 and 5 subdivision masks that satisfy the sum rule of sufficiently high orders. In particular, “optimal” Sobolev smoothness is determined and Holder smoothness estimates are presented. ",

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AB - This paper is devoted to the study of triangular 7 and quadrilateral 5 surface subdivisions. Both approximation and interpolatory subdivision schemes are considered, with illustrative examples of both scalar-valued and matrix-valued 7 and 5 subdivision masks that satisfy the sum rule of sufficiently high orders. In particular, “optimal” Sobolev smoothness is determined and Holder smoothness estimates are presented.

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VL - 338

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case

Abstract

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