Effects of truncation on deconvolution

Richard G. Lane; Roy Irwan; Philip J. Bones

doi:10.1117/12.284711

9 December 1997 Effects of truncation on deconvolution

Richard G. Lane, Roy Irwan, Philip J. Bones

Proceedings Volume 3171, Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications; (1997) https://doi.org/10.1117/12.284711
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

Many methods for deconvolving images assume either that the entire convolution is available, or that the convolution is adequately modelled as a circular convolution. In reality, neither is usually the case, and only a section of a much larger blurred (and contaminated) image is observed. The truncation gives rise to null objects in reconstructions obtained by deconvolution methods. It is possible to formulate the problem as exact, though underdetermined, and to apply singular value decomposition to deriving an inverse operator. We compare different practical methods for performing deconvolution with a scanning finite impulse response filter derived in this manner.

Citation Download Citation

Richard G. Lane, Roy Irwan, and Philip J. Bones "Effects of truncation on deconvolution", Proc. SPIE 3171, Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications, (9 December 1997); https://doi.org/10.1117/12.284711

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