Volume 5 Issue 2
Apr.  2012
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SUN Hui, LI Zhi-qiang. Estimation of displacement parameters for uniform linear motion-blurred images based on phase-only correlation[J]. Chinese Optics, 2012, 5(2): 174-180. doi: 10.3788/CO.20120502.0174
Citation: SUN Hui, LI Zhi-qiang. Estimation of displacement parameters for uniform linear motion-blurred images based on phase-only correlation[J]. Chinese Optics, 2012, 5(2): 174-180. doi: 10.3788/CO.20120502.0174

Estimation of displacement parameters for uniform linear motion-blurred images based on phase-only correlation

  • Received Date: 21 Dec 2011
  • Rev Recd Date: 23 Feb 2012
  • Publish Date: 10 Apr 2012
  • To estimate displacement parameters for uniform linear motion-blurred images, a method of image registration based on phase-only correlation is introduced. The method is based on the translation characteristics of Fourier transform to search the translation between the images. The inverse Fourier transform of the normalized cross power spectrum for a pairs of images is a two dimension impulse function, and the translation displacement between the images can be finely retrieved from the location of the correlation peak. Combined with the image registration principle of phase-only correlation and the degradation model of spatially variant blur, the mathematical expressions of Point Spread Function(PSF) and Optical Transfer Function(OTF) for the uniform linear motion blur are described, and the effect of motion blur on the correlation registration is discussed. The relation between the variance of normalized cross power spectrum and the degradation of blurred images is demonstrated, which is only dependent on the displacement between the images and not on the blur in images. The experimental result shows that this method can detect sub-pixel-level shift parameters accurately and efficiently and the maximum registration error is only 0.489 pixel, the root of mean square error of image registration is 0.16 pixel.

     

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