NETWORK INPAINTING VIA OPTIMAL TRANSPORT

作     者：Facca, Enrico Nordbotten, Jan Martin Hanson, Erik Andreas 

作者机构：Department of Mathematics University of Bergen Bergen Norway Department of Computer science Electrical engineering and Mathematical sciences Western Norway University of Applied Sciences Bergen Norway 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Inverse problems 

摘      要：In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term with respect to the observed data, and a physics-based regularizing term coming from the theory of optimal transport. Through a range of numerical tests, we demonstrate that our suggested approach can effectively rebuild the primary features of damaged networks, even when artifacts are *** Codes 49-04, 49K20, 49N99, 65N21, 65N30, 65Z05 © 2024, CC BY.