UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Solving inverse obstacle scattering problem with latent surface representations

Chen, Junqing; Jin, Bangti; Liu, Haibo; (2024) Solving inverse obstacle scattering problem with latent surface representations. Inverse Problems 10.1088/1361-6420/ad466a. (In press).

[thumbnail of Chen+et+al_2024_Inverse_Problems_10.1088_1361-6420_ad466a.pdf] Text
Chen+et+al_2024_Inverse_Problems_10.1088_1361-6420_ad466a.pdf - Accepted Version
Access restricted to UCL open access staff until 3 May 2025.

Download (13MB)

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.

Type: Article
Title: Solving inverse obstacle scattering problem with latent surface representations
DOI: 10.1088/1361-6420/ad466a
Publisher version: http://dx.doi.org/10.1088/1361-6420/ad466a
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10192371
Downloads since deposit
Loading...
1Download
Download activity - last month
Loading...
Download activity - last 12 months
Loading...
Downloads by country - last 12 months
Loading...

Archive Staff Only

View Item View Item