Image mapping approach based on biharmonic spline interpolation concerning dot arrangement and multi-mapping
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摘要: 针对在DSPIV(Digital Stereo Particle Image Velocimetry)的图像几何校正中,校正板上控制点的排列方式对图像校正误差所产生的影响,在使用双调和样条函数构建校正映射函数的条件下,分别使用了11列×21行、21列×21行、11列×41行、21列×41行和16列×31行5种控制点等列距、等行距排列的校正板来进行图像校正,计算了这5种控制点排列方式对应的校正准度和校正精度.另外,为进一步减小图像校正误差,还提出了对经过校正所得的图像进行重复图像校正.实验结果表明:随着控制点数目的增加,校正准度和校正精度会相应提高;经过重复图像校正的校正准度和校正精度优于一次校正的结果,但需要耗费更多的图像处理时间.
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关键词:
- 数字体视粒子图像测速技术(DSPIV) /
- 双调和样条函数 /
- 控制点排列方式 /
- 重复校正
Abstract: To obtain connection between dot arrangement on mapping board and image mapping error of digital stereo particle image velocimetry (DSPIV), five mapping boards with rectangular dot pattern covering aera of same size were used respectively to perform image mapping. Dot spacing in these dot pattern was equal in row and in column. A biharmonic spline function based on the Green function was employed as mapping model in this process. Statistic value of absolute differences between dot-center coordinates after mapping and their theoretical values and its standard deviation were calculated for comparison of image mapping errors. An image multi-mapping approach was also presented. Another image mapping was performed consecutively on the image obtained from the first mapping process. The experimental result shows that the image mapping errors decrease as the dot number on the mapping board increases and the image multi-mapping approach can decrease the mapping errors compared to those of single mapping, but at the cost of time consuming. -
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