Polynomial splines over general T-meshes
Document Type
Article
Publication Date
4-1-2010
Abstract
The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided theories and applications for PHT-splines over hierarchical T-meshes. This paper generalizes PHT-splines to arbitrary topology over general T-meshes with any structures (GPT-splines). GPT-spline surfaces can be constructed through a unified scheme to interpolate the local geometric information at the basis vertices of the T-mesh. We also discuss general edge insertion and removal algorithms for GPT-splines. As applications, we present algorithms to construct a GPT-spline surface from a quadrilateral mesh and to simplify a tensor-product B-spline surface into a GPT-spline surface with superfluous edges removal. © Springer-Verlag 2009.
Publication Source (Journal or Book title)
Visual Computer
First Page
277
Last Page
286
Recommended Citation
Li, X., Deng, J., & Chen, F. (2010). Polynomial splines over general T-meshes. Visual Computer, 26 (4), 277-286. https://doi.org/10.1007/s00371-009-0410-9
