In the past decade, hundreds of asteroid shape models have been derived using the
lightcurve inversion method. At the same time, a new framework of three-dimensional shape …

The solution of linear inverse problems when the unknown parameters outnumber data
requires addressing the problem of a nontrivial null space. After restating the problem within …

We consider inverse problems estimating distributed parameters from indirect noisy
observations through discretization of continuum models described by partial differential or …

A frequent matter of debate in Bayesian inversion is the question of which of the two
principal point-estimators, the maximum a posteriori (MAP) or the conditional mean (CM) …

The goal of this paper is to advance mathematical and computational methodology for
orbiter-to-orbiter radio tomography of small solar system bodies. In this study, an advanced …

Electromagnetic full waveform inversion (FWI) is a high-resolution method to reveal the
distribution of dielectric parameters of the medium. Traditionally, the electromagnetic FWI is …

The purpose of this study was to advance numerical methods for radio tomography in which
asteroid׳ s internal electric permittivity distribution is to be recovered from radio frequency …

An iterative alternating direction method of multipliers (ADMM) is proposed for inverse finite-
element–boundary-integral (FE–BI) problem with total variation (TV) regularization. The …

The solution of linear inverse problems when the unknown parameters outnumber data
requires addressing the problem of a nontrivial null space. After restating the problem within …

This research aims at the robust and high-resolution reconstruction of asteroid's interior
structure using lander-to-orbiter radar system. In recent years, the full waveform inversion …