IEEE Trans Image Process - Optimal inversion of the Anscombe transformation in low-count Poisson image denoising.

Tópicos

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Resumo

The removal of Poisson noise is often performed through the following three-step procedure. First, the noise variance is stabilized by applying the Anscombe root transformation to the data, producing a signal in which the noise can be treated as additive Gaussian with unitary variance. Second, the noise is removed using a conventional denoising algorithm for additive white Gaussian noise. Third, an inverse transformation is applied to the denoised signal, obtaining the estimate of the signal of interest. The choice of the proper inverse transformation is crucial in order to minimize the bias error which arises when the nonlinear forward transformation is applied. We introduce optimal inverses for the Anscombe transformation, in particular the exact unbiased inverse, a maximum likelihood (ML) inverse, and a more sophisticated minimum mean square error (MMSE) inverse. We then present an experimental analysis using a few state-of-the-art denoising algorithms and show that the estimation can be consistently improved by applying the exact unbiased inverse, particularly at the low-count regime. This results in a very efficient filtering solution that is competitive with some of the best existing methods for Poisson image denoising.

Resumo Limpo

remov poisson nois often perform follow threestep procedur first nois varianc stabil appli anscomb root transform data produc signal nois can treat addit gaussian unitari varianc second nois remov use convent denois algorithm addit white gaussian nois third invers transform appli denois signal obtain estim signal interest choic proper invers transform crucial order minim bias error aris nonlinear forward transform appli introduc optim invers anscomb transform particular exact unbias invers maximum likelihood ml invers sophist minimum mean squar error mmse invers present experiment analysi use stateoftheart denois algorithm show estim can consist improv appli exact unbias invers particular lowcount regim result effici filter solut competit best exist method poisson imag denois

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