Year: 2017
Author: Fang Deng, Chao Zeng, Meng Wu, Jiansong Deng
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 1 : pp. 91–120
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1601-m2014-0175
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 1 : pp. 91–120
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Spline spaces over T-meshes CVR graph Basis functions.