Recursive Subdivision and Hypergeometric Functions

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	Similar Articles Articles by I. P. Ivrissimtzis Articles by N. A. Dodgson Articles by M. A. Sabin

International Conference on Shape Modeling and Applications 2002 (SMI'02)

Banff, Canada

May 17-May 22

ISBN: 0-7695-1546-0

	ASCII Text	x
	I. P. Ivrissimtzis, N. A. Dodgson, M. A. Sabin, "Recursive Subdivision and Hypergeometric Functions," Shape Modeling and Applications, International Conference on, pp. 29, International Conference on Shape Modeling and Applications 2002 (SMI'02), 2002.

	BibTex	x
	@article{ 10.1109/SMA.2002.1003525, author = {I. P. Ivrissimtzis and N. A. Dodgson and M. A. Sabin}, title = {Recursive Subdivision and Hypergeometric Functions}, journal ={Shape Modeling and Applications, International Conference on}, volume = {0}, year = {2002}, isbn = {0-7695-1546-0}, pages = {29}, doi = {http://doi.ieeecomputersociety.org/10.1109/SMA.2002.1003525}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Shape Modeling and Applications, International Conference on TI - Recursive Subdivision and Hypergeometric Functions SN - 0-7695-1546-0 SP EP A1 - I. P. Ivrissimtzis, A1 - N. A. Dodgson, A1 - M. A. Sabin, PY - 2002 KW - Subdivision KW - Chebyshev polynomials KW - hyperge-ometric functions. VL - 0 JA - Shape Modeling and Applications, International Conference on ER -

I. P. Ivrissimtzis

N. A. Dodgson

M. A. Sabin

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.2002.1003525

We describe a method for efficient calculation of coefficients or subdivision schemes. We work on the unit sphere and we express the z-oordinate of all the existing points as power series in the variable cos?. Any linear combination of them is also a power series in cos? and, by solving a linear system, we determine the linear combination that will give the smoothest interpolation the sphere at a particular point.

Index Terms:

Subdivision, Chebyshev polynomials, hyperge-ometric functions.

Citation:

I. P. Ivrissimtzis, N. A. Dodgson, M. A. Sabin, "Recursive Subdivision and Hypergeometric Functions," smi, pp.29, International Conference on Shape Modeling and Applications 2002 (SMI'02), 2002

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