Systems and methods are provided for implementing an analytical approach to digital volumetric laminar tomography. The volumetric data visualizations generally take the form of volumetric images which approximate the spatial distribution of an x-ray attenuation coefficient throughout the region of interest in the object, such as a person, under examination. These visualizations are produced from a set of basic two dimensional data. One numerical technique employed in this regard takes the form of a process of convolution and back projection, where the convolution function is determined through the use of various analytic and empirical techniques.