Merging of Bezier curves with box constraints

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:296

Article

Gospodarczyk, Przemyslaw¹  Wozny, Pawel¹ 

[1] Univ Wroclaw, Inst Comp Sci, PL-50383 Wroclaw, Poland

关键词: Bezier curve;    Merging;    Multiple segments;    Parametric continuity;    Quadratic programming;    Box constraints;   

DOI  :  10.1016/j.cam.2015.10.005

来源: Elsevier

【 摘 要 】

In this paper, we present a novel approach to the problem of merging of Bezier curves with respect to the L-2-norm. We give illustrative examples to show that the solution of the conventional merging problem may not be suitable for further modification and applications. As in the case of the degree reduction problem, we apply the so-called restricted area approach - proposed recently in Gospodarczyk (2015) - to avoid certain defects and make the resulting curve more useful. A method of solving the new problem is based on box-constrained quadratic programming approach. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free