粒子运动轨迹的图像处理及流场重构算法研究

为了高效获得颗粒的速度分布，提出一种针对单帧单曝光图像的图像处理方法和流场重构方法。图像处理过程包含去噪、锐化、自适应阈值分割、闭运算、去除小颗粒、骨架提取、速度提取、二义性判断、求切线等步骤和方法，对该处理过程的主要误差也进行了分析与修正。流场重构使用了基于RBF（Radial Basis Function）插值且采用迎风插值进行优化的算法，插值结果以速度云图及矢量图的形式展示，对该过程的主要误差也进行了分析与验证。最后的处理结果显示，针对单帧单曝光图像的图像处理方法和流场重构方法具有可行性。

Image processing algorithm for particle trajectory image and reconstruction study on flow field

The aim of the present study is to develop an efficient image processing approach and flow field reconstruction method to obtain the particles velocities distributions from a single frame and single exposure image (SFSEI). The image processing approach contains de-noising, laplacian sharpening, adaptive threshold segmentation, close operation, removing of small particles and skeletonizing; the velocity calculating algorithm contains velocity calculating, ambiguity estimating, tangent vector calculating. The error produced by these methods is calculated. The flow field reconstruction approach is based on RBF (Radial Basis Function) interpolation and optimized by windward interpolation, the deviation of the reconstruction method is also calculated. A processing example using jet flow image demonstrates that the algorithm is practicable.