| 基于样条的波浪表面重建 |
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| 引用本文： | 周晓杰,夏述高,苏志勋.基于样条的波浪表面重建[J].大连理工大学学报,2007,47(4):613-617. |
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| 作者姓名： | 周晓杰 夏述高 苏志勋 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024;大连理工大学,应用数学系,辽宁,大连,116024;大连理工大学,应用数学系,辽宁,大连,116024 |
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| 摘 要： | 最近提出的偏移算法是一种基于光线折射和希尔伯特变换的水槽波浪测量方法.基于三次样条函数和最小二乘法,提出了一种改进的偏移算法.样条函数既用来计算偏移量,又用做波浪表面重建.与原偏移算法相比,改进的偏移算法解决了偏移计算的锯齿问题,得到了更光滑的波浪表面,而且新方法可以给出任意一点的波浪高度值.
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| 关 键 词： | 波浪表面重建 光线折射 样条 最小二乘法 |
| 文章编号： | 1000-8608（2007）04-0613-05 |
| 修稿时间： | 2005-11-07 |
Wave surface reconstruction based on spline (in English) |
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| ZHOU Xiao-jie,XIA Shu-gao,SU Zhi-xun.Wave surface reconstruction based on spline (in English)[J].Journal of Dalian University of Technology,2007,47(4):613-617. |
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| Authors: | ZHOU Xiao-jie XIA Shu-gao SU Zhi-xun |
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| Institution: | Dept. of Appl. Math., Dalian Univ. of Technol., Dalian 116024, China |
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| Abstract: | The shift method presented recently is a flume wave measurement method based on light refraction and Hilbert transform. A modified shift method is presented based on cubic spline function and least square method. Spline function is applied to both the calculation of the shift and the reconstruction of wave surface. Compared with the original shift method, the modified shift method solves the "zigzag" problem in the calculation of the shift and results in smoother wave surface. The new method can give the wave elevation of arbitrary point. |
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| Keywords: | wave surface reconstruction light refraction spline least squaremethod |
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