Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 10–20
Abstract
In this paper, we propose a three point approximating subdivision scheme, with three shape parameters, that unifies three different existing three point approximating schemes. Some sufficient conditions for subdivision curve $C^0$ to $C^3$ continuity and convergence of the scheme for generating tensor product surfaces for certain ranges of parameters by using Laurent polynomial method are discussed. The systems of curve and surface design based on our scheme have been developed successfully in garment CAD especially for clothes modelling.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0010-1
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 10–20
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: approximating subdivision scheme shape parameters Laurent polynomial.
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A Class of Refinement Schemes With Two Shape Control Parameters
Mustafa, Ghulam
Hameed, Rabia
Baleanu, Dumitru
Mahmood, Ayesha
IEEE Access, Vol. 8 (2020), Iss. P.98316
https://doi.org/10.1109/ACCESS.2020.2997557 [Citations: 4]