Dimensions of biquadratic and bicubic spline spaces over hierarchical T-meshes
Document Type
Article
Publication Date
10-15-2015
Abstract
This paper discusses the dimensions of biquadratic C1 spline spaces and bicubic C2 spline spaces over hierarchical T-meshes using the smoothing cofactor-conformality method. We obtain the dimension formula of biquadratic C1 spline spaces over hierarchical T-meshes in a concise way. In addition, we provide a dimension formula for bicubic C2 spline spaces over hierarchical T-meshes with fewer restrictions than that in the previous literature. A dimension formula for bicubic C2 spline spaces over a new type of hierarchical T-meshes is also provided.
Publication Source (Journal or Book title)
Journal of Computational and Applied Mathematics
First Page
162
Last Page
178
Recommended Citation
Zeng, C., Deng, F., Li, X., & Deng, J. (2015). Dimensions of biquadratic and bicubic spline spaces over hierarchical T-meshes. Journal of Computational and Applied Mathematics, 287, 162-178. https://doi.org/10.1016/j.cam.2015.02.057
