Nonlinear Restoration Of Filtered Images With Poisson Noise

C. M. Lo; A. A. Sawchuk

doi:10.1117/12.958229

28 December 1979 Nonlinear Restoration Of Filtered Images With Poisson Noise

C. M. Lo, A. A. Sawchuk

Author Affiliations +

Proceedings Volume 0207, Applications of Digital Image Processing III; (1979) https://doi.org/10.1117/12.958229
Event: 23rd Annual Technical Symposium, 1979, San Diego, United States

Abstract

A model for photon resolved low light level image signals detected by a counting array is developed. Those signals are impaired by signal dependent Poisson noise and linear blurring. An optimal restoration filter based on maximizing the a posteriori probability density (MAP) is developed. A suboptimal overlap-save sectioning method using a Newton-Raphson iterative procedure is used for the solution of the high dimensionality nonlinear estimation equations for any type of space-variant and invariant linear blur. An accurate image model with a nonstationary mean and stationary variance is used to provide a priori information for the MAP restoration filter. Finally, a comparison between the MAP filter and a linear space-invariant minimum mean-square error (LMMSE) filter is made.

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C. M. Lo and A. A. Sawchuk "Nonlinear Restoration Of Filtered Images With Poisson Noise", Proc. SPIE 0207, Applications of Digital Image Processing III, (28 December 1979); https://doi.org/10.1117/12.958229

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