TY - JOUR
T1 - Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes
AU - Deng , Fang
AU - Zeng , Chao
AU - Wu , Meng
AU - Deng , Jiansong
JO - Journal of Computational Mathematics
VL - 1
SP - 91
EP - 120
PY - 2017
DA - 2017/02
SN - 35
DO - http://doi.org/10.4208/jcm.1601-m2014-0175
UR - https://global-sci.org/intro/article_detail/jcm/9765.html
KW - Spline spaces over T-meshes, CVR graph, Basis functions.
AB - <p style="text-align: justify;">Basis functions of biquadratic polynomial spline spaces over hierarchical T-meshes are constructed. The basis functions are all tensor-product B-splines, which are linearly independent, nonnegative and complete. To make basis functions more efficient for geometric modeling, we also give out a new basis with the property of unit partition. Two preliminary applications are given to demonstrate that the new basis is efficient.</p>