  In recent years, many types of elliptical Radon transforms that integrate
functions over various sets of ellipses/ellipsoids have been considered,
relating to studies in bistatic synthetic aperture radar, ultrasound reflection
tomography, radio tomography, and migration imaging. In this article, we
consider the transform that integrates a given function in $\mathbf R^n$ over a
set of ellipses (when $n=2$) or ellipsoids of rotation (when $n\geq 3$) with
foci restricted to a hyperplane. We show a relation between this elliptical
Radon transform and the regular Radon transform, and provide the inversion
formula for the elliptical Radon transform using this relation. Numerical
simulations are performed to demonstrate the suggested algorithms in two
dimensions, and these simulations are also provided in this article.
