Please use this identifier to cite or link to this item:
Title: Multidimensional interpolatory subdivision schemes
Authors: Riemenschneider, S.D.
Shen, Z. 
Keywords: Box splines
Interpolatory subdivision schemes
Subdivision schemes
Issue Date: 1997
Citation: Riemenschneider, S.D.,Shen, Z. (1997). Multidimensional interpolatory subdivision schemes. SIAM Journal on Numerical Analysis 34 (6) : 2357-2381. ScholarBank@NUS Repository.
Abstract: This paper presents a general construction of multidimensional interpolatory subdivision schemes. In particular, we provide a concrete method for the construction of bivariate interpolatory subdivision schemes of increasing smoothness by finding an appropriate mask to convolve with the mask of a three-direction box spline Br,r,r of equal multiplicities. The resulting mask for the interpolatory subdivision exhibits all the symmetries of the three-direction box spline and with this increased symmetry comes increased smoothness. Several examples are computed (for r = 2, . . . , 8). Regularity criteria in terms of the refinement mask are establíshed and applied to the examples to estimate their smoothness.
Source Title: SIAM Journal on Numerical Analysis
ISSN: 00361429
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

checked on Oct 5, 2018

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.