Retrieval of symmetrical image blur using zero sheets |
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Authors: | Premaratne P Ko CC |
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Affiliation: | Dept. of Electr. Eng., Nat. Univ. of Singapore ; |
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Abstract: | The analytically continued Fourier transform of a two-dimensional image vanishes to zero on a two-dimensional surface embedded in a four-dimensional space. This surface uniquely characteristics the image and is known as a `zero sheet'. Since the manipulation of a function in four-dimensional space is cumbersome, the projections of zero sheets, known as `zero tracks' are calculated. This knowledge of zero sheets can be extended to a number of practical applications including image processing. Image restoration can be realised without prior knowledge of the point spread function, i.e. blind deconvolution is possible even when only a single blurred image is given. If the blurred image concerned contains a point spread function with diagonal symmetry, the point zeros calculated row-wise and column-wise contain some similarities, which supports retrieval of both the true image and a point spread function. This novel scheme performs the separation effectively in the absence of contamination |
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