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This paper describes an inverse analysis method using neural networks on optical spectroscopy, and its application to the quantitative optical constant evaluation. The present method consists of three subprocesses. First, measurable…

Optics · Physics 2023-08-28 Kyosuke Saeki , Takayuki Makino

The multifrequency electrical impedance tomography is considered in order to image a conductivity inclusion inside a homogeneous background medium by injecting one current. An original spectral decomposition of the solution of the forward…

Analysis of PDEs · Mathematics 2016-09-23 Habib Ammari , Faouzi Triki

In this paper we broadly consider techniques which utilize projections on rays for data collection, with particular emphasis on optical techniques. We formulate a variety of imaging techniques as either special cases or extensions of…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Keith Dillon , Yeshaiahu Fainman

We demonstrate that simultaneous reconstruction of scattering and absorption of a mesoscopic system using angularly-resolved measurements of scattered light intensity is possible. Image reconstruction is realized based on the algebraic…

Optics · Physics 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

Linear problems appear in a variety of disciplines and their application for the transmission matrix recovery is one of the most stimulating challenges in biomedical imaging. Its knowledge turns any random media into an optical tool that…

Machine Learning · Statistics 2019-02-05 Daniele Ancora , Luca Leuzzi

A theorem on subwavelength imaging with arrays of discrete sources is formulated. This theorem is analogous to the Kotelnikov (also named Nyquist-Shannon) sampling theorem as it represents the field at an arbitrary point of space in terms…

Optics · Physics 2009-04-06 S. I. Maslovski

We present a practical methodology for inverse design of compact high-order/multiresonance filters in linear passive 2-port wave-scattering systems, targeting any desired transmission spectrum (such as standard pass/stop-band filters). Our…

Applied Physics · Physics 2026-02-11 Mo Chen , Steven G. Johnson , Aristeidis Karalis

The main features of the statistical approach to inverse problems are described on the example of a linear model with additive noise. The approach does not use any Bayesian hypothesis regarding an unknown object; instead, the standard…

Methodology · Statistics 2017-05-05 V. Yu. Terebizh

We consider the inverse Calder\'on problem consisting of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine the Dirichlet-to-Neumann map and, therefore, one usually…

Analysis of PDEs · Mathematics 2017-06-28 Pedro Caro , Andoni Garcia

This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible. Computational imaging, especially non-line-of-sight (NLOS) imaging, the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Lianfang Wang , Kuilin Qin , Xueying Liu , Huibin Chang , Yong Wang , Yuping Duan

Learning invariant representations is a critical first step in a number of machine learning tasks. A common approach corresponds to the so-called information bottleneck principle in which an application dependent function of mutual…

Machine Learning · Computer Science 2021-02-17 Aditya Kumar Akash , Vishnu Suresh Lokhande , Sathya N. Ravi , Vikas Singh

Intrinsic decomposition is a fundamental mid-level vision problem that plays a crucial role in various inverse rendering and computational photography pipelines. Generating highly accurate intrinsic decompositions is an inherently…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Chris Careaga , Yağız Aksoy

Transmitting structured light robustly through complex random media is crucial in many applications, from sensing to communication. Unfortunately, the spatial structure of light is distorted in such media due to refractive index…

Optics · Physics 2025-08-19 Cade Peters , Kelsey Everts , Tatjana Kleine , Pedro Ornelas , Andrew Forbes

Establishing the strong converse theorem for a communication channel confirms that the capacity of that channel, that is, the maximum achievable rate of reliable information communication, is the ultimate limit of communication over that…

Quantum Physics · Physics 2016-08-29 Tony Dorlas , Ciara Morgan

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

We introduce a new type of lens that focuses a plane wave into a spherical one, where light comes from all directions. Our method also suggests the design of ideal optical tweezers or, in the reverse direction, photo-detection of nearly all…

Optics · Physics 2025-04-01 Shay Rabani , Kirill Shvalb , Boris Malomed , Tal Carmon

A fully general strong converse for channel coding states that when the rate of sending classical information exceeds the capacity of a quantum channel, the probability of correctly decoding goes to zero exponentially in the number of…

Quantum Physics · Physics 2013-05-29 Robert Koenig , Stephanie Wehner

This is the second part of a two-article series investigating the presence of an inverse response in the measurement of the ingot radius in the Czochralski process for monocrystalline silicon production, when the ingot radius is deduced…

Materials Science · Physics 2021-03-09 Halima Zahra Bukhari , Morten Hovd , Jan Winkler

In this paper we show how to perform scene-level inverse rendering to recover shape, reflectance and lighting from a single, uncontrolled image using a fully convolutional neural network. The network takes an RGB image as input, regresses…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Ye Yu , William A. P. Smith

Inverse imaging problems that are ill-posed can be encountered across multiple domains of science and technology, ranging from medical diagnosis to astronomical studies. To reconstruct images from incomplete and distorted data, it is…

Image and Video Processing · Electrical Eng. & Systems 2023-11-30 Cesar F. Caiafa , Ramiro M. Irastorza