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Non-stationary subdivision schemes for surface interpolation based on exponential polynomials

Title
Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
Authors
Lee Y.J.Yoon J.
Ewha Authors
윤정호
SCOPUS Author ID
윤정호scopus
Issue Date
2010
Journal Title
Applied Numerical Mathematics
ISSN
0168-9274JCR Link
Citation
vol. 60, no. 41276, pp. 130 - 141
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
This paper is concerned with non-stationary interpolatory subdivision schemes that can reproduce a large class of (complex) exponential polynomials. It enables our scheme to exactly reproduce the parametric surfaces such as torus and spheres. The subdivision rules are obtained by using the reproducing property of exponential polynomials which constitute a shift-invariant space S. In this study, we are particularly interested in the schemes based on the known butterfly-shaped stencils, proving that these schemes have the same smoothness and approximation order as the classical Butterfly interpolatory scheme. © 2009 IMACS.
DOI
10.1016/j.apnum.2009.10.005
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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