12-04-2012, 01:20 PM
A CLOSED-FORM APPROXIMATION OF THE EXACT UNBIASED INVERSE OF THE ANSCOMBE VARIANCE-STABILIZING TRANSFORMATION
ABSTRACT
We presented an exact unbiased inverse of the Anscombe variance-stabilizing transformation and showed that when applied to Poisson image denoising, the combination of variance stabilization and state-of-the-art Gaussian denoising algorithms is competitive with some of the best Poisson denoising algorithms.
We also provided a Matlab implementation of our method, where the exact unbiased inverse transformation appears in non-analytical form. Here we propose a closed-form approximation of the exact unbiased inverse, in order to facilitate the use of this inverse.
The proposed approximation produces results equivalent to those obtained with the accurate (non-analytical) exact unbiased inverse, and thus notably better than one would get with the asymptotically unbiased inverse transformation, which is commonly used in applications.