Title :
Shape-preserving MQ-B-splines quasi-interpolation
Author :
Zhang, Weixiang ; Zongmin Wu
Author_Institution :
Dept. of Math., Fudan Univ., Shanghai, China
Abstract :
Based on the definition of MQ-B-splines, this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details. Examples are shown to demonstrate the capacity of the quasi-interpolants for curve representation.
Keywords :
computational geometry; curve fitting; interpolation; splines (mathematics); MQ-B-splines; curve representation; distributed data; error estimation; shape-preserving properties; univariate quasiinterpolants; Approximation methods; Character generation; Chromium; Gold; Mathematics; Polynomials; Shape; Solid modeling; Spline; Sun;
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
DOI :
10.1109/GMAP.2004.1290030
