Diffuse optical mammotomography based on backprojection algorithm with Vainberg-Butterworth filtration

The paper considers a layer-to-layer 3D reconstruction method for diffuse optical mammotomography which uses conic geometry for time-domain measurements. The method is based on an approximate 2D reconstruction of transverse layers of a conic scattering object by inverting an integral equation with integration along a photon average trajectory. The equation is inverted using a backprojection algorithm with an original filtration of optical projections by the Vainberg-Butterworth method. A numerical experiment shows that our method reconstructs the 3D distributions of absorbing inhomogeneities embedded in a conic object much faster than the multistep Newton-like algorithms, and reconstruction accuracy remains acceptable, at least when inhomogeneities are not in the immediate vicinity of object boundaries.