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 - <p style="text-align: justify;">For the problem of constructing smooth functions over arbitrary surfaces from discrete data, we propose to use Loop&#39;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.</p>