While most of Radon transform applications to imaging involve integrations over smooth sub-
manifolds of the ambient space, lately important situations have appeared where the …

Sliced optimal transport reduces optimal transport on multi-dimensional domains to transport
on the line. More precisely, sliced optimal transport is the concatenation of the well-known …

Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport
Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …

The paper contains new reconstruction formulas for a function on 3D space from data of its
cone integrals with fixed opening and integrable weight. In the case of cone integrals with …

We obtain new inversion formulas for the Funk type transforms of two kinds associated to
spherical sections by hyperplanes passing through a common point A which lies inside the n …

The spherical means Radon transform Mf (x, r) is defined by the integral of a function f in Rn
over the sphere S (x, r) of radius r centered at ax, normalized by the area of the sphere. The …

Abstract The Funk–Radon transform, also known as the spherical Radon transform, assigns
to a function on the sphere its mean values along all great circles. Since its invention by Paul …

This paper addresses the cone transform that integrates a function over the surfaces of
circular cones. We derive an inversion formula for the cone transform in n-dimensional …

We investigate the inverse source problem for the wave equation, arising in photo-and
thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas …

We study the spherical slice transform 𝔖 which assigns to a function f on the unit sphere Sn
in ℝ n+ 1 the integrals of f over cross-sections of Sn by k-dimensional affine planes passing …