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-...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.展开更多
基金supported by the NSF of China(No.61872328)NKBR-PC(2011CB302400)+1 种基金SRF for ROCS SEthe Youth Innovation Promotion Association CAS.
文摘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.