On Stancu-Mu¨hlbach operators and some connected problems concerning probability distributions
Journal of Approximation Theory
The rational Bernstein bases and the multirational blossoms
Computer Aided Geometric Design
A subdivision scheme for Poisson curves and surfaces
Computer Aided Geometric Design
On the rates of approximation of Bernstein type operators
Journal of Approximation Theory
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Computer Aided Geometric Design
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
A basis of multi-degree splines
Computer Aided Geometric Design
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In this paper, a class of discrete distributions called S-@l distributions is presented and the corresponding S-@l basis functions are constructed from these distributions by means of the technique of generating functions and transformation factors. These basis functions generate S-@l curves. We show that S-@l curves include Bezier curves, Poisson curves, rational Bezier curves and a lot of other curves. Therefore the research in this paper provides a unified scheme for dealing with these well-known curves. We study some important properties of the S-@l basis functions and S-@l curves. Furthermore, by means of the technique of generating functions, a new convenient and practical method for local changes of S-@l curves is proposed.