Title of article
Triangular √7 and quadrilateral √5 subdivision schemes: Regular case
Author/Authors
Charles K. Chui، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
20
From page
1204
To page
1223
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 Hölder smoothness estimates are presented.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Refinable function vectors , Sum rule orders , Interpolatory schemes , Vector subdivisions , Matrix-valued templates , Sobolev smoothness classes , H?lder smoothness estimates , Triangular ?7-subdivisions , Quadrilateral ?5-subdivisions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936570
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