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We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

Analysis of PDEs · Mathematics 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

Optical scattering presents a major obstacle to high resolution imaging in biological tissue and other turbid media. Conventional photoacoustic imaging can partially overcome this obstacle, enabling imaging of optical absorption in the…

I propose an iterative expectation maximization algorithm for reconstructing a quantum optical ensemble from a set of balanced homodyne measurements performed on an optical state. The algorithm applies directly to the acquired data,…

Quantum Physics · Physics 2009-11-10 A. I. Lvovsky

One important property of imaging modalities and related applications is the resolution of image reconstructions which relies on various factors such as instrumentation or data processing. Restrictions in resolution can have manifold…

Numerical Analysis · Mathematics 2020-12-30 Tobias Kluth , Christine Bathke , Ming Jiang , Peter Maass

Photo-acoustic tomography is a coupled-physics (hybrid) medical imaging modality that aims to reconstruct optical parameters in biological tissues from ultrasound measurements. As propagating light gets partially absorbed, the resulting…

Analysis of PDEs · Mathematics 2020-01-08 Guillaume Bal , Adrian Kirkeby

Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that are currently used to solve this reconstruction…

This study presents a noise-robust framework for 1-bit diffraction tomography, a novel imaging approach that relies on intensity-only binary measurements obtained through coded apertures. The proposed reconstruction scheme leverages random…

Information Theory · Computer Science 2025-05-27 Pengwen Chen , Albert Fannjiang

The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and the extraction of its features. In this work, we firstly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Gabriele Scrivanti

In diverse microscopy modalities, sensors measure only real-valued intensities. Additionally, the sensor readouts are affected by Poissonian-distributed photon noise. Traditional restoration algorithms typically aim to minimize the mean…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Nadav Torem , Roi Ronen , Yoav Y. Schechner , Michael Elad

In example-based super-resolution, the function relating low-resolution images to their high-resolution counterparts is learned from a given dataset. This data-driven approach to solving the inverse problem of increasing image resolution…

Image and Video Processing · Electrical Eng. & Systems 2018-12-05 Alexander Robey , Vidya Ganapati

Tomography is the three-dimensional reconstruction of an object from images taken at different angles. The term classical tomography is used, when the imaging beam travels in straight lines through the object. This assumption is valid for…

Quantitative Methods · Quantitative Biology 2016-10-10 Paul Müller , Mirjam Schürmann , Jochen Guck

In this paper we consider a mathematical model for photoacoustic imaging which takes into account attenuation due to thermodynamic dissipation. The propagation of acoustic (compressional) waves is governed by a scalar wave equation coupled…

Analysis of PDEs · Mathematics 2016-10-12 Sebastian Acosta , Carlos Montalto

Ptychography is a data-intensive computational imaging technique that achieves high spatial resolution over large fields of view. The technique involves scanning a coherent beam across overlapping regions and recording diffraction patterns.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-14 Refik Mert Cam , Junjing Deng , Rajkumar Kettimuthu , Mathew J. Cherukara , Tekin Bicer

A numerical scheme that uses multi-frequency Newton iterations to reconstruct a rough surface profile between two dielectric media is proposed. At each frequency sample, the scheme employs Newton iterations to solve the nonlinear inverse…

Numerical Analysis · Mathematics 2024-08-29 Ahmet Sefer , Ali Yapar , Hakan Bagci

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

Quantitative photoacoustic tomography aims at estimating optical parameters from photoacoustic images that are formed utilizing the photoacoustic effect caused by the absorption of an externally introduced light pulse. This optical…

Medical Physics · Physics 2020-10-02 Aleksi Leino , Tuomas Lunttila , Meghdoot Mozumder , Aki Pulkkinen , Tanja Tarvainen

This paper is concerned with the development of suitable numerical method for the approximation of discontinuous solutions of parameter-dependent linear hyperbolic conservation laws. The objective is to reconstruct such approximation, for…

Numerical Analysis · Mathematics 2021-09-21 Marie Billaud-Friess , Thomas Heuzé

The resonant absorption of light by an ensemble of absorbers decreases when the resonance is inhomogeneously broadened, as only a fraction of the ensemble contributes to the absorption at any given optical frequency. Recovering the lost…

Quantum Physics · Physics 2019-11-22 Ohr Lahad , Ran Finkelstein , Omri Davidson , Ohad Michel , Eilon Poem , Ofer Firstenberg

Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Evan Widloski , Ulas Kamaci , Farzad Kamalabadi

A fast and robust algorithm for fluorescence diffuse optical tomography is proposed. We identify the location of a fluorescence target by assuming a cuboid. The proposed numerical method is verified by a numerical experiment and an in vivo…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Chunlong Sun , Yu Jiang , Jijun Liu , Manabu Machida , Gen Nakamura , Goro Nishimura