文章摘要
鲍晓利,李木国.一种改进的基于FFT的PIV互相关算法[J].,2011,(3):417-421
一种改进的基于FFT的PIV互相关算法
Improvement of FFT-based cross-correlation algorithm for PIV
  
DOI:10.7511/dllgxb201103018
中文关键词: 粒子图像测速  互相关算法  快速傅里叶变换(FFT)  频域抽取  运算效率
英文关键词: particle image velocimetry  cross-correlation algorithm  fast Fourier transform (FFT)  decimation in frequency domain  computational efficiency
基金项目:国家自然科学基金资助项目(50879098).
作者单位
鲍晓利,李木国  
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中文摘要:
      针对粒子图像测速(particle image velocimetry,PIV)技术中互相关算法运算量巨大的问题,提出了一种改进的基于快速傅里叶变换(FFT)的互相关算法.改进算法根据频域抽取原理,设置相关窗口重叠率为50%,重叠窗口一个维度的FFT值可由其相邻重叠子窗口的同一维度FFT值经频移叠加获得,无需进行FFT,有效减少了互相关运算中的重复FFT运算量.最后,利用CCD相机连续采集多帧粒子图像进行了算法对比验证及分析.实验结果表明,改进算法在运算效率方面实际提高了约12.25%.
英文摘要:
      An improved fast Fourier transform (FFT)-based cross-correlation algorithm is proposed to solve the computational efficiency problem of cross-correlation in particle image velocimetry (PIV). Based on the decimation in frequency theory, when the overlapping correlation window size is about 50%, the one-dimensional FFT values of overlapping windows are composed of their neighbor sub-window′s FFT values by using the frequency shift instead of implementing FFT and the repeating computation in FFT is greatly reduced. Finally, the proposed method was tested with the real particle images continuously acquired by CCD camera. The experimental results show about 12.25% increase in computational efficiency compared with the traditional method.
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