基于样条的波浪表面重建(英文)  

Wave surface reconstruction based on spline

作　　者：周晓杰[1] 夏述高[1] 苏志勋[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024

出　　处：《大连理工大学学报》2007年第4期613-617,共5页Journal of Dalian University of Technology

基　　金：国家杰出青年科学基金资助项目(50125924);国家自然科学基金资助项目(503790011033205060275029)~~

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.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.

关 键 词：波浪表面重建 光线折射 样条 最小二乘法 

分 类 号：O29[理学—应用数学] TB115[理学—数学]