Optimal multi-degree reduction of C-Bézier surfaces with constraints

2017, Volume 18, Issue 12

Abstract

Keywords

Related Research

Frontiers of Information Technology & Electronic Engineering >> 2017, Volume 18, Issue 12 doi: 10.1631/FITEE.1700458

Optimal multi-degree reduction of C-Bézier surfaces with constraints

. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China.. Zhejiang Institute of Economics and Trade, Hangzhou 310018, China.. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China.. Faculty of Science, Ningbo University of Technology, Ningbo 315211, China.

Available online: 2018-03-08

HTML18 PDF 3 Collect 0

Next Previous

Abstract

We propose an optimal approach to solve the problem of multi-degree reduction of C-Bézier surfaces in the norm with prescribed constraints. The control points of the degree-reduced C-Bézier surfaces can be explicitly obtained by using a matrix operation that is based on the transfer matrix of the C-Bézier basis. With prescribed boundary constraints, this method can be applied to piecewise continuous patches or to a single patch with the combination of surface subdivision. The resulting piecewise approximating patches are globally G1 continuous. Finally, numerical examples are presented to show the effectiveness of the method.

Keywords

C-Bé ; zier surfaces ; Degree reduction ; Boundary constraints

Related Research