Generalized T-splines and VMCR T-meshes
Abstract
The paper considers the extension of the T-spline approach to the Generalized B-splines (GB-splines), a relevant class of non-polynomial splines. The Generalized T-splines (GT-splines) are based both on the framework of classical polynomial T-splines and on the Trigonometric GT-splines (TGT-splines), a particular case of GT-splines. Our study of GT-splines introduces a class of T-meshes (named VMCR T-meshes) for which both the corresponding GT-splines and the corresponding polynomial T-splines are linearly independent. A practical characterization can be given for a sub-class of VMCR T-meshes, which we refer to as weakly dual-compatible T-meshes, which properly includes the class of dual-compatible (equivalently, analysis-suitable) T-meshes for an arbitrary (polynomial) order.
Keywords
Cite
@article{arxiv.1401.6319,
title = {Generalized T-splines and VMCR T-meshes},
author = {Cesare Bracco and Durkbin Cho},
journal= {arXiv preprint arXiv:1401.6319},
year = {2015}
}