21 September 2007 Refocusing of defocused images using SAR2 algorithm
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Abstract
This paper utilizes the methodology of SAR2 algorithm, a two dimensional variant of the ω-k algorithm, to refocus out-of-focus images. Refocusing of images may be necessary in machine vision as a preprocessing step before edge detection or image segmentation in the imaging and manipulation of 3D objects. The SAR2 algorithm generates a complex amplitude distribution and the corresponding point spread function in a manner similar to Fraunhofer diffraction distribution model and its point spread function as seen in Fourier optics. The matched filter utilized in the SAR2 algorithm has a focus-in-altitude interpretation and may be varied to increase or decrease the radius of out-of-focus blur associated with a particular point spread function of scatterers of various heights. This paper demonstrates focusing of a line object L={1 : x=y;-≤x≤63; -64≤y≤63}. Although a rectangular aperture is used in the refocusing process, other apertures may also be used such as circular or Gaussian.
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Jehanzeb Burki, Christopher F. Barnes, "Refocusing of defocused images using SAR2 algorithm", Proc. SPIE 6697, Advanced Signal Processing Algorithms, Architectures, and Implementations XVII, 66970D (21 September 2007); doi: 10.1117/12.735343; https://doi.org/10.1117/12.735343
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