Shape Modeling and Applications, International Conference on (2002)
May 17, 2002 to May 22, 2002
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.
Subdivision, Chebyshev polynomials, hyperge-ometric functions.
M. A. Sabin, I. P. Ivrissimtzis, N. A. Dodgson, "Recursive Subdivision and Hypergeometric Functions", Shape Modeling and Applications, International Conference on, vol. 00, no. , pp. 29, 2002, doi:10.1109/SMA.2002.1003525