Image processing algorithm for particle trajectory image and reconstruction study on flow field
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摘要: 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。Abstract: 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.
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图 4 新旧算法求轨迹长度的对比
Figure 4. The difference on trajectory lengths between the traditional and the new algorithm
图 5 新旧算法求速度方向的对比
Figure 5. The difference on velocity direction between the traditional and the new algorithm
图 6 2种速度提取算法精度比较
Figure 6. Accuracy contrast between the traditional and the new algorithm
图 11 骨架提取结果与轨迹方向的关系
Figure 11. Relation between skeletonizing and trajectory direction
图 12 不同轨迹尺寸下二值图与骨架图的运动长度
Figure 12. Motion length of binary and skeleton image on different trajectory sizes
图 13 不同长宽比(φ)下二值图与骨架图的运动长度
Figure 13. Motion length of binary and skeleton image with different width/length rate (φ)
图 14 仿真流场(a)与插值流场(b)对比
Figure 14. Contrast between simulation flow field (a) and interpolation flow field (b)
表 1 插值结果误差分析
Table 1. Error analysis on interpolation
Interpolation function δ multiquadric 1.057 gaussian 5.645 linear 1.444 log 1.647 
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