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