Differential sampling for Monte Carlo mammographic image simulation

摘要

Abstract: Differential sampling allows Monte Carlo to calculate the derivatives of a response with respect to some problem parameter, simultaneous with the calculation of the response itself. Such derivatives can be then used to construct new responses due to changes in the parameter. This capability has been added to our Monte Carlo code which simulates digital images from mammography systems, using realistic pixel sizes. The differential sampling method and its application to the image simulation code are described. Using the derivatives of an image, an example problem dealing with the visibility of a tumor is used to demonstrate the power of differential sampling. !13