A projected Nesterov-Kaczmarz approach to stellar population-kinematic distribution reconstruction in Extragalactic Archaeology

Author(s)
Fabian Hinterer, Simon Hubmer, Prashin Jethwa, Kirk M. Soodhalter, Glenn van de Ven, Ronny Ramlau
Abstract

In this paper, we consider the problem of reconstructing a galaxy's stellar population-kinematic distribution function from optical integral field unit measurements. These quantities are connected via a high-dimensional integral equation. To solve this problem, we propose a projected Nesterov-Kaczmarz reconstruction (PNKR) method, which efficiently leverages the problem structure and incorporates physical prior information such as smoothness and non-negativity constraints. To test the performance of our reconstruction approach, we apply it to a dataset simulated from a known ground truth density, and validate it by comparing our recoveries to those obtained by the widely used pPXF software.

Organisation(s)
Department of Astrophysics
External organisation(s)
Johannes Kepler Universität Linz, Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Trinity College Dublin
Journal
SIAM Journal on Imaging Sciences
Volume
16
Pages
192-222
No. of pages
31
ISSN
1936-4954
DOI
https://doi.org/10.1137/22M1503002
Publication date
03-2023
Peer reviewed
Yes
Austrian Fields of Science 2012
103004 Astrophysics, 101014 Numerical mathematics, 102003 Image processing
Keywords
ASJC Scopus subject areas
Applied Mathematics, General Mathematics
Portal url
https://ucrisportal.univie.ac.at/en/publications/d5ca85db-d403-42b5-a6ec-0d3207b900bc