Construction and Application of Nine-Tic B-Spline Tensor Product SS

Construction and Application of Nine-Tic B-Spline Tensor Product SS

In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features of the proposed SS such as continuity, polynomial generation, joint spectral r...

Full description

Bibliographic Details
Main Authors: Abdul Ghaffar, Mudassar Iqbal, Mehwish Bari, Sardar Muhammad Hussain, Raheela Manzoor, Kottakkaran Sooppy Nisar, Dumitru Baleanu
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematics
Subjects:
limit stencil
tensor product
subdivision scheme
continuity
Laurent polynomial
Online Access:https://www.mdpi.com/2227-7390/7/8/675
Description
Summary:In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features of the proposed SS such as continuity, polynomial generation, joint spectral radius, holder regularity and limit stencil. Some results of the SS using surface modeling with the help of computer programming are shown.
ISSN:2227-7390

Similar Items