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

Access to Document

10.1016/j.jmaa.2007.05.070License: Unspecified

Cite this

@article{47adf5e8ae6745b29ec42a309c03fac7,

title = "Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case",

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. ",

author = "Chui, {Charles K.} and Chui, {Charles K.} and Qingtang Jiang and Ndao, {Rokhaya N.}",

year = "2008",

month = feb,

day = "1",

doi = "10.1016/j.jmaa.2007.05.070",

language = "American English",

volume = "338",

journal = "Journal of Mathematical Analysis and Applications",

}

TY - JOUR

T1 - Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case

AU - Chui, Charles K.

AU - Jiang, Qingtang

AU - Ndao, Rokhaya N.

PY - 2008/2/1

Y1 - 2008/2/1

N2 - 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.

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.

UR - https://pdfs.semanticscholar.org/0b1c/e4a1b5c5e4ca4c8f626d4584105dcea66bef.pdf

U2 - 10.1016/j.jmaa.2007.05.070

DO - 10.1016/j.jmaa.2007.05.070

M3 - Article

VL - 338

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

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

Abstract

Disciplines

Access to Document

Other files and links

Cite this