Approximate multi-degree reduction of Q-Bézie curves via generalized Bernstein polynomial functions

Approximate multi-degree reduction of Q-Bézie curves via generalized Bernstein polynomial functions

Abstract Quasi Bézier curves (or QB-curves, for short) possess the excellent geometric features of classical Bézier curves and also have good shape adjustability. In this paper, an algorithm for a multi-degree reduction of QB-curves based on L 2 $L_{2}$ norm and by the analysis of geometric characte...

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Bibliographic Details
Main Authors: Xianzhi Hu, Gang Hu, Muhammad Abbas, Md Yushalify Misro
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Generalized Q-Bézier basis functions
Q-Bézier curve
Degree reduction
L 2 $L_{2}$ norm
Least squares approximation
Online Access:http://link.springer.com/article/10.1186/s13662-020-02871-y

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http://link.springer.com/article/10.1186/s13662-020-02871-y

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