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- Title
Generalized 5-Point Approximating Subdivision Scheme of Varying Arity.
- Authors
Hussain, Sardar Muhammad; Rehman, Aziz Ur; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Abdul Karim, Samsul Ariffin
- Abstract
The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design (CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are commonly used in CAGD and several methods have been invented to design curves/surfaces produced by SSs to applied geometry. In this article, we consider an algorithm that generates the 5-point approximating subdivision scheme with varying arity. By applying the algorithm, we further discuss several properties: continuity, Hölder regularity, limit stencils, error bound, and shape of limit curves. The efficiency of the scheme is also depicted with assuming different values of shape parameter along with its application.
- Subjects
SUBDIVISION surfaces (Geometry); COMPUTER-aided design; GEOMETRY
- Publication
Mathematics (2227-7390), 2020, Vol 8, Issue 4, p474
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math8040474