It has been claimed that the first digit of real signals follows a logarithmic distribution, called Benford law. This paper shows that this distribution is a natural prior for the gradient of several types of medical images (MRI, CT, ultrasound) and proposes a reconstruction algorithm based on the Benford law which does not require any parameter tuning. Experimental results are presented to illustrate the performance of the reconstruction algorithm.
João M. Sanches, Jorge S. Marques