文章基本信息

标题：Weighted G1-Multi-Degree Reduction of B´ezier Curves
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作者：Abedallah Rababah ; Salisu Ibrahim
期刊名称：International Journal of Advanced Computer Science and Applications(IJACSA)
印刷版ISSN：2158-107X
电子版ISSN：2156-5570
出版年度：2016
卷号：7
期号：2
DOI：10.14569/IJACSA.2016.070270
出版社：Science and Information Society (SAI)
摘要：In this paper, weighted G1-multi-degree reduction of B´ezier curves is considered. The degree reduction of a given B´ezier curve of degree n is used to write it as a B´ezier curve of degree m,m < n. Exact degree reduction is not possible, and, therefore, approximation methods are used. The weight function w(t) = 2t(1 - t), t [0, 1] is used with the L2-norm in multidegree reduction with G1-continuity at the end points of the curve. Since we consider boundary conditions this weight function improves approximation in the middle of the curve. Numerical results and comparisons show that the proposed method produces fewer errors and outperform all existing methods.
关键词：thesai; IJACSA; thesai.org; journal; IJACSA papers; B´ezier curves; multiple degree reduction; G-continuity; geometric continuity