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Optical metasurfaces have been heralded as the platform to integrate multiple functionalities in a compact form-factor, potentially replacing bulky components. A central stepping stone towards realizing this promise is the demonstration of…

Magnetic resonance imaging (MRI) is an essential medical tool with inherently slow data acquisition process. Slow acquisition process requires patient to be long time exposed to scanning apparatus. In recent years significant efforts are…

Computer Vision and Pattern Recognition · Computer Science 2015-03-05 Jelena Badnjar

Recent advances in meta-optics have enabled diverse functionalities in compact optical devices; however, conventional forward design approaches become inadequate as device complexity and scale grow. Inverse design offers a powerful…

Nonlinear metasurfaces offer a new paradigm to realize optical nonlinear devices with new and unparalleled behavior compared to nonlinear crystals, due to the interplay between photonic resonances and materials properties. The complicated…

Accurately establishing the state of large-scale quantum systems is an important tool in quantum information science; however, the large number of unknown parameters hinders the rapid characterisation of such states, and reconstruction…

Quantum Physics · Physics 2014-07-30 Francesco Tonolini , Susan Chan , Megan Agnew , Alan Lindsay , Jonathan Leach

Non-destructive testing and medical diagnostic techniques using ultrasound has become indispensable in evaluating the state of materials or imaging the internal human body, respectively. To conduct spatially resolved high-quality…

Applied Physics · Physics 2023-07-17 Wei Wang , Jie Hu , Jingjing Liu , Yang Tan , Jing Yang , Bin Liang , Johan Christensen , Jianchun Cheng

Quantum compressed sensing is the fundamental tool for low-rank density matrix tomographic reconstruction in the informationally incomplete case. We examine situations where the acquired information is not enough to allow one to obtain a…

Deep learning approaches have shown promising performance for compressed sensing-based Magnetic Resonance Imaging. While deep neural networks trained with mean squared error (MSE) loss functions can achieve high peak signal to noise ratio,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-02 Maximilian Seitzer , Guang Yang , Jo Schlemper , Ozan Oktay , Tobias Würfl , Vincent Christlein , Tom Wong , Raad Mohiaddin , David Firmin , Jennifer Keegan , Daniel Rueckert , Andreas Maier

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

In oversampled adaptive sensing (OAS), noisy measurements are collected in multiple subframes. The sensing basis in each subframe is adapted according to some posterior information exploited from previous measurements. The framework is…

Information Theory · Computer Science 2019-12-11 Ali Bereyhi , Ralf R. Müller

Photoacoustic (PA) computed tomography (PACT) shows great potentials in various preclinical and clinical applications. A great number of measurements are the premise that obtains a high-quality image, which implies a low imaging rate or a…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Hengrong Lan , Juze Zhang , Changchun Yang , Fei Gao

We describe an image compression method, consisting of a nonlinear analysis transformation, a uniform quantizer, and a nonlinear synthesis transformation. The transforms are constructed in three successive stages of convolutional linear…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Johannes Ballé , Valero Laparra , Eero P. Simoncelli

In recent years, layered image compression is demonstrated to be a promising direction, which encodes a compact representation of the input image and apply an up-sampling network to reconstruct the image. To further improve the quality of…

Image and Video Processing · Electrical Eng. & Systems 2021-02-02 Trinh Man Hoang , Jinjia Zhou , Yibo Fan

Metasurfaces represent a new paradigm in artificial subwavelength structures due to their potential to overcome many challenges typically associated with bulk metamaterials. The ability making very thin structures and change their…

This paper extends the sample complexity theory for ill-posed inverse problems developed in a recent work by the authors [`Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform', J. Eur. Math. Soc.,…

Functional Analysis · Mathematics 2025-01-06 Giovanni S. Alberti , Alessandro Felisi , Matteo Santacesaria , S. Ivan Trapasso

Projector photometric compensation aims to modify a projector input image such that it can compensate for disturbance from the appearance of projection surface. In this paper, for the first time, we formulate the compensation problem as an…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Bingyao Huang , Haibin Ling

We describe a search-free resizing framework that can further improve the rate-distortion tradeoff of recent learned image compression models. Our approach is simple: compose a pair of differentiable downsampling/upsampling layers that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-27 Li-Heng Chen , Christos G. Bampis , Zhi Li , Lukáš Krasula , Alan C. Bovik

We propose an inverse design framework for metasurfaces that achieves highly uniform two-dimensional intensity profiles across an on-demand shape. The optimization objective is formulated to enhance overall projection efficiency via the…

Optics · Physics 2025-09-22 Yushi Zhou , Yun-Sheng Chen , Yang Zhao

We consider a compressed sensing problem in which both the measurement and the sparsifying systems are assumed to be frames (not necessarily tight) of the underlying Hilbert space of signals, which may be finite or infinite dimensional. The…

Information Theory · Computer Science 2020-10-15 Giovanni S. Alberti , Matteo Santacesaria

In this paper, we develop a framework to design sensing matrices for compressive sensing applications that lead to good mean squared error (MSE) performance subject to sensing cost constraints. By capitalizing on the MSE of the oracle…

Information Theory · Computer Science 2021-01-28 Wei Chen , Miguel R. D. Rodrigues , Ian Wassell