不同插值算法在波前构建射线追踪中的应用与对比

Interpolation Algorithms in Wavefront Construction

针对波前构建法射线追踪中遇到的波前非网格节点处速度及速度导数的插值问题,对比分析目前在数字地形、数字导航中常用的几种插值算法(邻近域、双线性、分片线性、二维三次卷积)的插值误差.并结合波前构建法的特征,针对不同的插值算法,采取合理的程序设计思想,对同一模型应用不同的插值算法进行射线路径和计算效率的对比.通过对比分析可以得出,在波前构建法射线追踪中应用二维三次卷积插值,不但提高了射线路径的准确度,而且提高了射线追踪的效率,为下一步做偏移成像提供了精确的数据.

For interpolation of velocity and velocity derivative of non-grids in wavefront construction, interpolation algorithms, such as the nearest, bilinear and linear bicubic interpolation algorithms, are compared and analyzed. With characteristics of wavefront construction, path of rays and computational efficiency of the algorithms are compared. It indicates that the bicubic interpolation algorithm is more accurate and faster.