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Recursive Subdivision and Hypergeometric Functions
Banff, Canada May 17-May 22
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.2002.1003525International Conference on Shape Mod ...
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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 -
 
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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