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|Title:||Retrieval of symmetrical image blur using zero sheets|
|Citation:||Premaratne, P., Ko, C.C. (2001-02). Retrieval of symmetrical image blur using zero sheets. IEE Proceedings: Vision, Image and Signal Processing 148 (1) : 65-69. ScholarBank@NUS Repository. https://doi.org/10.1049/ip-vis:20010143|
|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 characterises 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.|
|Source Title:||IEE Proceedings: Vision, Image and Signal Processing|
|Appears in Collections:||Staff Publications|
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