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).
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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 |
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