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Volume 40, Issue 3
On T-Spline Classification

Xin Li & Liangwei Hong

DOI: 10.4208/jcm.2011-m2020-0150

J. Comp. Math., 40 (2022), pp. 472-483.

Published online: 2022-02

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  • 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.

  • Keywords

T-splines, Partition of unity, Analysis-suitable, Isogeometric analysis.

  • AMS Subject Headings

65D07

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lixustc@ustc.edu.cn (Xin Li)

bodhihlw@mail.ustc.edu.cn (Liangwei Hong)

  • BibTex
  • RIS
  • TXT
@Article{JCM-40-472, author = {Li , Xin and Hong , Liangwei}, title = {On T-Spline Classification}, journal = {Journal of Computational Mathematics}, year = {2022}, volume = {40}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2011-m2020-0150}, url = {http://global-sci.org/intro/article_detail/jcm/20247.html} }
TY - JOUR T1 - On T-Spline Classification AU - Li , Xin AU - Hong , Liangwei JO - Journal of Computational Mathematics VL - 3 SP - 472 EP - 483 PY - 2022 DA - 2022/02 SN - 40 DO - http://doi.org/10.4208/jcm.2011-m2020-0150 UR - https://global-sci.org/intro/article_detail/jcm/20247.html KW - T-splines, Partition of unity, Analysis-suitable, Isogeometric analysis. AB -

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.

Li , Xin and Hong , Liangwei. (2022). On T-Spline Classification. Journal of Computational Mathematics. 40 (3). 472-483. doi:10.4208/jcm.2011-m2020-0150
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