| 三次均匀B样条插值曲线和曲面的矩阵形式 |
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| 引用本文： | 符祥,郭宝龙. 三次均匀B样条插值曲线和曲面的矩阵形式[J]. 光电子．激光, 2007, 18(8): 992-995 |
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| 作者姓名： | 符祥 郭宝龙 |
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| 作者单位： | 西安电子科技大学机电工程学院ICIE研究所,陕西,西安,710071;西安电子科技大学机电工程学院ICIE研究所,陕西,西安,710071 |
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| 基金项目： | 国家自然科学基金 , 陕西省自然科学基金 |
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| 摘 要： | 根据三次B样条曲线(CB)的矩阵形式灵活的特点、CB曲线的端点性质和插值曲线在连接点应满足的连续性条件,推导出CB插值(CBI)曲线的矩阵形式,并进一步推广,得到了双CBI曲面的矩阵形式.生成了平面和空间插值曲线、闭合插值曲线和插值面片.与传统方法进行了比较,结果表明,本文方法有较大的优越性和较好的实用价值.
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| 关 键 词： | B样条曲线 插值曲线 插值曲面 矩阵形式 |
| 文章编号： | 1005-0086（2007）08-0992-04 |
| 收稿时间： | 2006-09-10 |
| 修稿时间： | 2006-09-102007-01-02 |
Matrix Representation for Cubic B-spline Interpolation Curve and Surface |
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| FU Xiang,GUO Bao-long. Matrix Representation for Cubic B-spline Interpolation Curve and Surface[J]. Journal of Optoelectronics·laser, 2007, 18(8): 992-995 |
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| Authors: | FU Xiang GUO Bao-long |
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| Abstract: | Based on the characteristics of the matrix representation for cubic B-spline(CB),the properties of CB and the continuity conditions that interpolation curves should satisfy at the connecting points,a matrix representation for cubic B-spline interpolation(CBI) curve is presented;then,it is generalized to derive the matrix representation for bicubic B-spline interpolation surface.The open and closed plane interpolatiion curves,space interpolation curves and interpolation surface patches are constructed.The method in this paper possesses significant advantages compared with traditional interpolation approaches,which may lead to more widely application in practice. |
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| Keywords: | B-spline curve interpolation curve interpolation surface matrix formulation |
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