Note on multi-degree reduction of Bézier curves via modified Jacobi-Bernstein basis transformation

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• 作者：Lizheng Lu ; ^{lulz99@163.com} ; Xueyan Xiang
• 关键词：B&eacute ; zier curve ; Degree reduction ; Modified Jacobi polynomials ; Geometric continuity
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：65-69
• 全文大小：488 K
• 卷排序：315

文摘

Recently, Bhrawy et al. (2016) proposed a novel method for Cb−1,a−1Cb−1,a−1-constrained degree reduction of Bézier curves by using the basis transformations between the modified Jacobi polynomials (MJPs) and Bernstein polynomials. In this note, we provide corrections to the formulas wrongly presented in their article. Then we propose Gb−1,a−1Gb−1,a−1-constrained degree reduction of Bézier curves using MJPs, which can always produce more satisfactory results.