Home Article

TCB-splines and Their Applications

2022-12-08

Speaker:Dr.CAO Juan(Jane)


Aveneu: Online

    Tencent Meeting: 870-353-157


Abstract:

Recently, triangle configuration-based bivariate simplex splines (referred to as TCB-spline) have been introduced to the geometric computing community. TCB-splines retain many attractive theoretic properties of classical B-splines, such as the partition of unity, local support, polynomial reproduction, and automatic inbuilt high-order smoothness. Moreover, TCB-splines have appealing properties superior to tensor-product splines. For example, compared to tensor-product splines, TCB-splines support local refinement and are more flexible to accommodate general parametric domains. The attractive theoretical properties of TCB-splines make them an ideal basis for geometric shape modeling and CAD/CAE integration. In this talk, we will briefly introduce the concept of TCB-splines and then show their applications in complex geometric shape modeling, image vectorization, finite element analysis, isogeometric analysis, shell analysis, etc.