Boundary description approach application for modeling the x-rays transformation in the computational diagnostics problems

In the paper an approach is suggested to evaluate the transformation of ionizing radiation in multicomponent objects. Corresponding numerical algorithms are constructed to simulate the radiation transport in objects of complex geometry and inner structure. This approach is based on a special object description by using closed envelopes separating homogeneous parts of the object. The developed algorithm considers significant prior information about the inner structure of the objects such as piecewise homogeneity of material properties. The separating surfaces are assumed to be sharp boundaries, which excludes the blurring effect. The proposed method of object description provides the possibility of efficient application of the Monte Carlo method for simulating the scattering and absorption of photons in materials including implementation for modern multi-processor systems. The main features of the method for mathematical simulation of the x-radiation transformation in piecewise homogeneous structures are presented in the paper.