End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing

Fuente: arXiv
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Autores principales: Arya, Gaurav, Li, William F., Roques-Carmes, Charles, Soljačić, Marin, Johnson, Steven G., Lin, Zin
Formato: Preprint
Publicado: 2022
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author Arya, Gaurav
Li, William F.
Roques-Carmes, Charles
Soljačić, Marin
Johnson, Steven G.
Lin, Zin
author_facet Arya, Gaurav
Li, William F.
Roques-Carmes, Charles
Soljačić, Marin
Johnson, Steven G.
Lin, Zin
contents We present a framework for the end-to-end optimization of metasurface imaging systems that reconstruct targets using compressed sensing, a technique for solving underdetermined imaging problems when the target object exhibits sparsity (i.e. the object can be described by a small number of non-zero values, but the positions of these values are unknown). We nest an iterative, unapproximated compressed sensing reconstruction algorithm into our end-to-end optimization pipeline, resulting in an interpretable, data-efficient method for maximally leveraging metaoptics to exploit object sparsity. We apply our framework to super-resolution imaging and high-resolution depth imaging with a phase-change material. In both situations, our end-to-end framework computationally discovers optimal metasurface structures for compressed sensing recovery, automatically balancing a number of complicated design considerations to select an imaging measurement matrix from a complex, physically constrained manifold with millions ofdimensions. The optimized metasurface imaging systems are robust to noise, significantly improving over random scattering surfaces and approaching the ideal compressed sensing performance of a Gaussian matrix, showing how a physical metasurface system can demonstrably approach the mathematical limits of compressed sensing.
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id arxiv_https___arxiv_org_abs_2201_12348
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing
Arya, Gaurav
Li, William F.
Roques-Carmes, Charles
Soljačić, Marin
Johnson, Steven G.
Lin, Zin
Image and Video Processing
Optimization and Control
Optics
We present a framework for the end-to-end optimization of metasurface imaging systems that reconstruct targets using compressed sensing, a technique for solving underdetermined imaging problems when the target object exhibits sparsity (i.e. the object can be described by a small number of non-zero values, but the positions of these values are unknown). We nest an iterative, unapproximated compressed sensing reconstruction algorithm into our end-to-end optimization pipeline, resulting in an interpretable, data-efficient method for maximally leveraging metaoptics to exploit object sparsity. We apply our framework to super-resolution imaging and high-resolution depth imaging with a phase-change material. In both situations, our end-to-end framework computationally discovers optimal metasurface structures for compressed sensing recovery, automatically balancing a number of complicated design considerations to select an imaging measurement matrix from a complex, physically constrained manifold with millions ofdimensions. The optimized metasurface imaging systems are robust to noise, significantly improving over random scattering surfaces and approaching the ideal compressed sensing performance of a Gaussian matrix, showing how a physical metasurface system can demonstrably approach the mathematical limits of compressed sensing.
title End-to-End Optimization of Metasurfaces for Imaging with Compressed Sensing
topic Image and Video Processing
Optimization and Control
Optics
url https://arxiv.org/abs/2201.12348