On the accuracy of PSF representation in image restoration

Point spread function (PSF) models derived from physical optics provide a more accurate representation of real blurs than simpler models based on geometrical optics. However, the physical PSF models do not always result in a significantly better restoration, due to the coarse sampling of the recording device and insufficiently high signal-to-noise ratio (SNR) levels. Low recording resolutions result in aliasing errors in the PSF and suboptimal restorations. A high-resolution representation of the PSF where aliasing errors are minimized is used to obtain improved restorations. The SNR is the parameter which ultimately limits the restoration quality and determines the need for an accurate PSF model. As a rule of thumb, the geometrical PSF can be used in place of the physical PSF without significant loss in restoration quality when the SNR is less than 30 dB.

[1]  H. J. Trussell,et al.  Restorations of real defocused images using blur models based on geometrical and diffraction optics , 1991, IEEE Proceedings of the SOUTHEASTCON '91.

[2]  A. Murat Tekalp,et al.  Blur identification using the bispectrum , 1991, IEEE Trans. Signal Process..

[3]  D. Gennery Determination of optical transfer function by inspection of frequency-domain plot , 1973 .

[4]  Andreas Savakis,et al.  Blur identification by statistical analysis , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[5]  A. T. Erdem,et al.  On modeling the focus blur in image restoration , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[6]  P. Stokseth Properties of a Defocused Optical System , 1969 .

[7]  Hsien-Che Lee Review of image-blur models in a photographic system using the principles of optics , 1990 .