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» Polynomial reproduction by symmetric subdivision schemes
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JAT
2008
51views more  JAT 2008»
13 years 4 months ago
Polynomial reproduction by symmetric subdivision schemes
We first present necessary and sufficient conditions for a linear, binary, uniform, and stationary sub
Nira Dyn, Kai Hormann, Malcolm A. Sabin, Zuowei Sh...
JAT
2011
81views more  JAT 2011»
12 years 11 months ago
Polynomial reproduction for univariate subdivision schemes of any arity
In this paper we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some polynomial function, t...
Costanza Conti, Kai Hormann
ADCM
2004
73views more  ADCM 2004»
13 years 4 months ago
Polynomial Reproduction in Subdivision
Abstract. We study conditions on the matrix mask of a vector subdivision scheme ensuring that certain polynomial input vectors yield polynomial output again. The conditions are in ...
Kurt Jetter, G. Zimmermann
AMC
2007
112views more  AMC 2007»
13 years 5 months ago
A ternary 4-point approximating subdivision scheme
In the implementation of subdivision scheme, three of the most important issues are smoothness, size of support, and approximation order. Our objective is to introduce an improved...
Kwan Pyo Ko, Byung-Gook Lee, Gang Joon Yoon