C1 bicubic splines over general T-meshes
The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided the 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. The general PHT-spline surfaces can be constructed through an unified scheme to interpolate the local geometric information at the basis vertices of the T-mesh. We also discuss the edge insertion and removal algorithms for PHT-splines over general T-meshes. As applications, we present algorithms to construct a spline surface over a T-mesh from a quadrilateral mesh. © 2009 IEEE.
Publication Source (Journal or Book title)
Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009
Li, X., Deng, J., & Chen, F. (2009). C1 bicubic splines over general T-meshes. Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009, 92-95. https://doi.org/10.1109/CADCG.2009.5246927