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Volume 23, Issue 3
Interpolation by Loop's Subdivision Functions

Guo-Liang Xu

J. Comp. Math., 23 (2005), pp. 247-260.

Published online: 2005-06

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  • 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.

  • Keywords

Interpolation, Loop's subdivision function.

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COPYRIGHT: © Global Science Press

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@Article{JCM-23-247, author = {Guo-Liang Xu}, title = {Interpolation by Loop's Subdivision Functions}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8813.html} }
TY - JOUR T1 - Interpolation by Loop's Subdivision Functions AU - Guo-Liang Xu JO - Journal of Computational Mathematics VL - 3 SP - 247 EP - 260 PY - 2005 DA - 2005/06 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8813.html KW - Interpolation, Loop's subdivision function. AB -

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.

Guo-Liang Xu. (2005). Interpolation by Loop's Subdivision Functions. Journal of Computational Mathematics. 23 (3). 247-260. doi:
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