4 papers
Bijectivity analysis of rational T-spline surfaces via Bernstein representations
Jia-Xuan Li, Ying-Ying Yu, Ya-Shu Liu +3
Ensuring the bijectivity of spline-based parameterizations is fundamental in geometric modeling and isogeometric analysis, as invalid mappings may lead to self-intersections, singu…
Regularity analysis and verification of Coons volume mappings
Yingying Yu, Yashu Liu, Jiaxuan Li +3
The Coons volume provides a classical approach for constructing three-dimensional parametric mappings via boundary surface interpolation and is widely employed in volumetric mesh g…
Boundary parameter matching for isogeometric analysis using Schwarz-Christoffel mapping
Ye Ji, Matthias Möller, Yingying Yu +1
Isogeometric analysis has brought a paradigm shift in integrating computational simulations with geometric designs across engineering disciplines. This technique necessitates analy…
Total Positivity of A Kind of Generalized Toric-Bernstein Basis
Ying-Ying Yu, Hui Ma, Chun-Gang Zhu
The normalized totally positive bases are widely used in many fields.Based on the generalized Vandermonde determinant, the normalized total positivity of a kind of generalized tori…