| B样条与Bezier曲线转换矩阵的快速计算方法及应用 |
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| 引用本文： | 徐少平,白似雪,薛之昕,曾文. B样条与Bezier曲线转换矩阵的快速计算方法及应用[J]. 计算机应用与软件, 2008, 25(7) |
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| 作者姓名： | 徐少平 白似雪 薛之昕 曾文 |
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| 作者单位： | 南昌大学机电工程学院江西省机器人与焊接自动化重点实验室,江西,南昌,330031;南昌大学信息工程学院计算机科学与技术系,江西,南昌,330000;南昌大学信息工程学院计算机科学与技术系,江西,南昌,330000;中国地质大学信息工程学院,湖北,武汉,430074 |
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| 摘 要： | Romani L.等人在2004年首次明确提出了任意阶均匀B样条和Bezier曲线之间相互转换矩阵的计算方法,但该方法把高阶的转换矩阵用递归降阶形式定义的,在每次降阶中存在大量的重复计算,针对这个问题提出了改进的算法,并给出了其在均匀B样条的降阶方面的应用实例.
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| 关 键 词： | B样条 Bezier曲线 转换矩阵 降阶 |
FAST CALCULATION METHOD AND APPLICATION FOR CONVERSION MATRIX BETWEEN UNIFORM B-SPLINE CURVES AND BEZIER CURVES |
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| Xu Shaoping,Bai Sixue,Xue zhixin,Zen Wen. FAST CALCULATION METHOD AND APPLICATION FOR CONVERSION MATRIX BETWEEN UNIFORM B-SPLINE CURVES AND BEZIER CURVES[J]. Computer Applications and Software, 2008, 25(7) |
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| Authors: | Xu Shaoping Bai Sixue Xue zhixin Zen Wen |
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| Affiliation: | Xu Shaoping1,2 Bai Sixue2 Xue zhixin2 Zen Wen31(School of Mechanical , Electrical Engineering,Nanchang University,Nanchang 330031,Jiangxi,China)2(Faculty of Information Engineering,Nanchang Univeristy,Nanchang 330000,China)3(School of Information Engineering,China University Geosciences,Wuhab 430074,Hubei,China) |
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| Abstract: | Romani L.firstly put forward clearly in 2004 the matrix algorithm of mutual conversion between uniform B-spline of arbitrary order and Bezier curves.But the recursive order reduction formula was applied to define higher order conversion matrix in the algorithm,so a lot of redundancy computing exists in every order reduction.In this paper we propose an improved method against this problem,and provide a real application example in order reduction for uniform B-spline. |
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| Keywords: | B-Spline Bezier curves Conversion matrix Degree reduction |
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