Modified T-splines

Hongmei Kang, Falai Chen, Jiansong Deng
2013 Computer Aided Geometric Design  
T-splines are a generalization of NURBS surfaces, the control meshes of which allow Tjunctions. T-splines can significantly reduce the number of superfluous control points in NURBS surfaces, and provide valuable operations such as local refinement and merging of several B-splines surfaces in a consistent framework. In this paper, we propose a variant of T-splines called Modified T-splines. The basic idea is to construct a set of basis functions for a given T-mesh that have the following nice
more » ... perties: non-negativity, linear independence, partition of unity and compact support. Due to the good properties of the basis functions, the Modified T-splines are favorable both in adaptive geometric modeling and isogeometric analysis.
doi:10.1016/j.cagd.2013.09.001 fatcat:xhbhmxhmr5bkhizyffwtgind2m