Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2004-09-01

Journal: Journal of Information and Computational Science

Included Journals: EI、Scopus

Volume: 1

Issue: 1

Page Number: 157-161

ISSN: 15487741

Key Words: Classification (of information); Convergence of numerical methods; Curve fitting; Geometry; Matrix algebra, 4 valence topology; Geometric design; Irregular refinement; Quasi-tangent plane; Smoothness; Stationary subdivision scheme; Subdivision, Numerical analysis

Abstract: In the paper, a new 4-point approximating subdivision scheme is presented for quadrilateral nets with 4-valence topology. The scheme generates the limit surface of C3 in the limit at the regular face and quasi-tangent plane continuous at the irregular region. Compared with other algorithms, the main advantage of the scheme is that the limit surface generated by the scheme can hold the shape of initial control polyhedron better than others. In addition, the smoothness is better than our past result. So it is useful in geometric design and modelling.