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Inverse scattering in layered media has a wide range of applications, examples including geophysical exploration, medical imaging, and remote sensing. In this paper, we develop a selective focusing method for identifying multiple unknown…

Numerical Analysis · Mathematics 2025-05-27 Jun Lai , Jinrui Zhang

We consider the problem of estimating a spatially varying density function, motivated by problems that arise in large-scale radiological survey and anomaly detection. In this context, the density functions to be estimated are the background…

Methodology · Statistics 2017-11-17 Wesley Tansey , Alex Athey , Alex Reinhart , James G. Scott

A deep learning-assisted inversion method is proposed to solve the inhomogeneous background imaging problem. Three non-iterative methods, namely the distorted-Born (DB) major current coefficients method, the DB modified Born approximation…

Applied Physics · Physics 2023-12-12 Naike Du , Tiantian Yin , Jing Wang , Rencheng Song , Kuiwen Xu , Bingyuan Liang , Sheng Sun , Xiuzhu Ye

Image segmentation is an important median level vision topic. Accurate and efficient multiphase segmentation for images with intensity inhomogeneity is still a great challenge. We present a new two-stage multiphase segmentation method…

Optimization and Control · Mathematics 2020-09-15 Xueyan Guo , Yunhua Xue , Chunlin Wu

An optimal mesh size of the sampling region can help to reduce computational burden in practical applications. In this work, we investigate optimal choices of mesh sizes for the identifications of medium obstacles from either the far-field…

Numerical Analysis · Mathematics 2018-10-22 Habib Ammari , Yat Tin Chow , Keji Liu

This paper presents a high-accuracy higher-order multiscale method for solving multi-continuum problems in in highly heterogeneous media. First, microscopic unit cell functions are defined, leading to the derivation of macroscopic…

Numerical Analysis · Mathematics 2026-04-08 Hao Dong , Jiayuan Peng , Jian Huang

Retrieving images from large and varied repositories using visual contents has been one of major research items, but a challenging task in the image management community. In this paper we present an efficient approach for region-based image…

Computer Vision and Pattern Recognition · Computer Science 2010-06-24 S. Sadek , A. Al-Hamadi , B. Michaelis , U. Sayed

We introduce Intrinsic Image Fusion, a method that reconstructs high-quality physically based materials from multi-view images. Material reconstruction is highly underconstrained and typically relies on analysis-by-synthesis, which requires…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Peter Kocsis , Lukas Höllein , Matthias Nießner

Interpreting scattered acoustic and electromagnetic wave patterns is a computational task that enables remote imaging in a number of important applications, including medical imaging, geophysical exploration, sonar and radar detection, and…

Computational Physics · Physics 2025-04-03 Owen Melia , Olivia Tsang , Vasileios Charisopoulos , Yuehaw Khoo , Jeremy Hoskins , Rebecca Willett

Imaging through scattering media is a fundamental and pervasive challenge in fields ranging from medical diagnostics to astronomy. A promising strategy to overcome this challenge is wavefront modulation, which induces measurement diversity…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Mingyang Xie , Haiyun Guo , Brandon Y. Feng , Lingbo Jin , Ashok Veeraraghavan , Christopher A. Metzler

We describe a fast, stable algorithm for the solution of the inverse acoustic scattering problem in two dimensions. Given full aperture far field measurements of the scattered field for multiple angles of incidence, we use Chen's method of…

Numerical Analysis · Mathematics 2016-08-25 Carlos Borges , Adrianna Gillman , Leslie Greengard

In our daily life, cluttered objects are everywhere, from scattered stationery and books cluttering the table to bowls and plates filling the kitchen sink. Retrieving a target object from clutters is an essential while challenging skill for…

Robotics · Computer Science 2024-06-05 Yitong Li , Ruihai Wu , Haoran Lu , Chuanruo Ning , Yan Shen , Guanqi Zhan , Hao Dong

Reconstruction of image by using convolutional neural networks (CNNs) has been vigorously studied in the last decade. Until now, there have being developed several techniques for imaging of a single object through scattering medium by using…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Xuetian Lai , Qiongyao Li , Ziyang Chen , Xiaopeng Shao , Jixiong Pu

An inverse scattering problem is formulated for reconstructing optical properties of biological tissues. A recursive linearization algorithm is used to solve the inverse scattering problem. We employed the idea of finite element boundary…

Numerical Analysis · Mathematics 2014-04-30 Ying Li

We develop two inverse scattering schemes for locating multiple electromagnetic (EM) scatterers by the electric far-field measurement corresponding to a single incident/detecting plane wave. The first scheme is for locating scatterers of…

Analysis of PDEs · Mathematics 2013-01-28 Jingzhi Li , Hongyu Liu , Zaijiu Shang , Hongpeng Sun

Super-resolution reconstruction techniques entail the utilization of software algorithms to transform one or more sets of low-resolution images captured from the same scene into high-resolution images. In recent years, considerable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Hao Yan , Zixiang Wang , Zhengjia Xu , Zhuoyue Wang , Zhizhong Wu , Ranran Lyu

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles to dynamic magnetic fields generates a non-linear response…

Numerical Analysis · Mathematics 2024-06-19 Vladyslav Gapyak , Thomas März , Andreas Weinmann

Two inverse scattering schemes were recently developed in \cite{LiLiuShangSun} for locating multiple electromagnetic (EM) scatterers, respectively, of small size and regular size compared to the detecting EM wavelength. Both schemes make…

Mathematical Physics · Physics 2013-05-09 Jingzhi Li , Hongyu Liu , Qi Wang

In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of…

Numerical Analysis · Mathematics 2007-05-23 Alexander G. Ramm , Semion Gutman