January 13, 2023
Conference Paper

Optimal Transport for Super Resolution Applied to Astronomy Imaging

Abstract

Super resolution is an essential tool in optics, especially on interstellar scales, due to physical laws restricting possible imaging resolution. We propose using optimal transport and entropy for super resolution applications. We prove that the reconstruction is accurate when sparsity is known and noise or distortion is small enough. We prove that the optimizer is stable and robust to noise and perturbations. We compare this method to a state of the art convolutional neural network and get similar results for much less computational cost and greater methodological flexibility.

Published: January 13, 2023

Citation

Rawson M.G., and J. Hultgren. 2022. Optimal Transport for Super Resolution Applied to Astronomy Imaging. In Proceedings of the 30th European Signal Processing Conference (EUSIPCO 2022), August 29 - September 2, 2022, Belgrade, 2022-August, 1971 - 1975. Brussels:European Association for Signal Processing. PNNL-SA-174182.