Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 247–260
Abstract
For the problem of constructing smooth functions over arbitrary surfaces from discrete data, we propose to use Loop's subdivision functions as the interpolants. Results on the existence, uniqueness and error bound of the interpolants are established. An efficient progressive computation algorithm for the interpolants is also presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8813
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 247–260
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Interpolation Loop's subdivision function.