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Faculty Selected Works of Qingtang Jiang
Article
Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case
Journal of Mathematical Analysis and Applications (2008)
  • Charles K. Chui, Stanford University
  • Charles K. Chui, University of Missouri–St. Louis
  • Qingtang Jiang, University of Missouri–St. Louis
  • Rokhaya N. Ndao, University of Missouri–St. Louis
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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. 
Disciplines
Publication Date
February 1, 2008
DOI
10.1016/j.jmaa.2007.05.070
Citation Information
Charles K. Chui, Charles K. Chui, Qingtang Jiang and Rokhaya N. Ndao. "Triangular √ 7 and Quadrilateral √ 5 Subdivision Schemes : Regular Case" Journal of Mathematical Analysis and Applications Vol. 338 Iss. 2 (2008) p. 1204 - 1223
Available at: http://works.bepress.com/qingtang-jiang/20/