On T-Spline Classification

On T-Spline Classification

Year:    2022

Author:    Xin Li, Liangwei Hong

Journal of Computational Mathematics, Vol. 40 (2022), Iss. 3 : pp. 472–483

Abstract

The present paper conjectures a topological condition which classifies a T-spline into standard, semi-standard and non-standard. We also provide the basic framework to prove the conjecture on the classification of semi-standard T-splines and give the proof for the semi-standard of bi-degree (1, $d$) and ($d$, 1) T-splines.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2011-m2020-0150

Journal of Computational Mathematics, Vol. 40 (2022), Iss. 3 : pp. 472–483

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    T-splines Partition of unity Analysis-suitable Isogeometric analysis.

Author Details

Xin Li

Liangwei Hong