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Zero sheet separation of blurred images with symmetrical point spread functions

Conference Paper


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 characterizes the image and is known as a zero sheet. Since the manipulation of a function in four-dimensional space is cumbersome, we calculate the projections of zero sheets, known as zero tracks. If the blurred image concerned contains a point spread function with two-dimensional symmetry, the zero tracks calculated row-vice and column-vice contain some similarities, which support retrieval of both true image, and point spread function. This presented novel scheme does the separation effectively in the absence of contamination.

Publication Date


  • 1999

Citation


  • Premaratne, P., & Ko, C. C. (1999). Zero sheet separation of blurred images with symmetrical point spread functions. In Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers Vol. 2 (pp. 1297-1299). doi:10.1109/ACSSC.1999.831916

Scopus Eid


  • 2-s2.0-0033348147

Web Of Science Accession Number


Start Page


  • 1297

End Page


  • 1299

Volume


  • 2

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 characterizes the image and is known as a zero sheet. Since the manipulation of a function in four-dimensional space is cumbersome, we calculate the projections of zero sheets, known as zero tracks. If the blurred image concerned contains a point spread function with two-dimensional symmetry, the zero tracks calculated row-vice and column-vice contain some similarities, which support retrieval of both true image, and point spread function. This presented novel scheme does the separation effectively in the absence of contamination.

Publication Date


  • 1999

Citation


  • Premaratne, P., & Ko, C. C. (1999). Zero sheet separation of blurred images with symmetrical point spread functions. In Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers Vol. 2 (pp. 1297-1299). doi:10.1109/ACSSC.1999.831916

Scopus Eid


  • 2-s2.0-0033348147

Web Of Science Accession Number


Start Page


  • 1297

End Page


  • 1299

Volume


  • 2