eprintid: 10192371
rev_number: 7
eprint_status: archive
userid: 699
dir: disk0/10/19/23/71
datestamp: 2024-05-15 13:48:18
lastmod: 2024-05-15 13:48:18
status_changed: 2024-05-15 13:48:18
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Chen, Junqing
creators_name: Jin, Bangti
creators_name: Liu, Haibo
title: Solving inverse obstacle scattering problem with latent surface representations
ispublished: inpress
divisions: UCL
divisions: B04
divisions: C05
divisions: F48
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: We propose a novel iterative numerical method to solve the three-dimensional inverse obstacle scattering problem of recovering the shape of the obstacle from far-field measurements. To address the inherent ill-posed nature of the inverse problem, we advocate the use of a trained latent representation of surfaces as the generative prior. This prior enjoys excellent expressivity within the given class of shapes, and meanwhile, the latent dimensionality is low, which greatly facilitates the computation. Thus, the admissible manifold of surfaces is realistic and the resulting optimization problem is less ill-posed. We employ the shape derivative to evolve the latent surface representation, by minimizing the loss, and we provide a local convergence analysis of a gradient descent type algorithm to a stationary point of the loss. We present several numerical examples, including also backscattered and phaseless data, to showcase the effectiveness of the proposed algorithm.
date: 2024-05-02
date_type: published
publisher: IOP Publishing
official_url: http://dx.doi.org/10.1088/1361-6420/ad466a
full_text_type: other
language: eng
verified: verified_manual
elements_id: 2274679
doi: 10.1088/1361-6420/ad466a
lyricists_name: Jin, Bangti
lyricists_id: BJINX59
actors_name: Flynn, Bernadette
actors_id: BFFLY94
actors_role: owner
full_text_status: restricted
publication: Inverse Problems
issn: 0266-5611
citation:        Chen, Junqing;    Jin, Bangti;    Liu, Haibo;      (2024)    Solving inverse obstacle scattering problem with latent surface representations.                   Inverse Problems        10.1088/1361-6420/ad466a <https://doi.org/10.1088/1361-6420%2Fad466a>.    (In press).   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10192371/1/Chen%2Bet%2Bal_2024_Inverse_Problems_10.1088_1361-6420_ad466a.pdf