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» Stationary subdivision schemes reproducing polynomials
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CAGD
2006
78views more  CAGD 2006»
13 years 11 months ago
Stationary subdivision schemes reproducing polynomials
A new class of subdivision schemes is presented. Each scheme in this class is a quasi-interpolatory scheme with a tension parameter, which reproduces polynomials up to a certain d...
Sung Woo Choi, Byung-Gook Lee, Yeon Ju Lee, Jungho...
JAT
2008
51views more  JAT 2008»
13 years 11 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»
13 years 5 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
GMP
2006
IEEE
107views Solid Modeling» more  GMP 2006»
14 years 5 months ago
A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials
We present a new class of non-stationary, interpolatory subdivision schemes that can exactly reconstruct parametric surfaces including exponential polynomials. The subdivision rule...
Yoo-Joo Choi, Yeon Ju Lee, Jungho Yoon, Byung-Gook...