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 - <p style="text-align: justify;">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.</p>