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In this study, we consider the application of orthogonality sampling method (OSM) with single and multiple sources for a fast identification of small objects in limited-aperture inverse scattering problem. We first apply the OSM with single…

数值分析 · 数学 2026-05-08 Won-Kwang Park

In this study, we investigated the application of the direct sampling method (DSM) to identify small dielectric objects in a limited-aperture inverse scattering problem. Unlike previous studies, we consider the bistatic measurement…

数值分析 · 数学 2025-09-16 Won-Kwang Park

Various studies have confirmed the possibility of identifying the location of a set of small inhomogeneities via a direct sampling method; however, when their permeability differs from that of the background, their location cannot be…

数值分析 · 数学 2018-01-09 Won-Kwang Park

A direct sampling method (DSM) is designed herein for a real-time detection of small anomalies from scattering parameters measured by a small number of dipole antennas. Applicability of the DSM is theoretically demonstrated by proving that…

数值分析 · 数学 2019-07-19 Won-Kwang Park , Kwang-Jae Lee , Seong-Ho Son

The direct sampling method (DSM) has been introduced for non-iterative imaging of small inhomogeneities and is known to be fast, robust, and effective for inverse scattering problems. However, to the best of our knowledge, a full analysis…

数值分析 · 数学 2018-09-26 Sangwoo Kang , Marc Lambert , Won-Kwang Park

Oblique plane microscopy (OPM) offers 3D optically sectioned imaging with high spatial- and temporal-resolution while enabling conventional sample mounting. The technique uses a concatenation of three microscopes, two for remote focusing…

光学 · 物理学 2023-12-15 Jon-Richard Sommernes , Alfred Millett-Sikking , Florian Ströhl

The image source method (ISM) is often used to simulate room acoustics due to its ease of use and computational efficiency. The standard ISM is limited to simulations of room impulse responses between point sources and omnidirectional…

音频与语音处理 · 电气工程与系统科学 2023-09-08 Zeyu Xu , Adrian Herzog , Alexander Lodermeyer , Emanuël A. P. Habets , Albert G. Prinn

The dramatic growth of big datasets presents a new challenge to data storage and analysis. Data reduction, or subsampling, that extracts useful information from datasets is a crucial step in big data analysis. We propose an orthogonal…

统计方法学 · 统计学 2021-06-01 Lin Wang , Jake Elmstedt , Weng Kee Wong , Hongquan Xu

In this paper we present a simple and effective method, based on appropriate superpositions of Bessel-Gauss beams, which in the Fresnel regime is able to describe in analytic form the 3D evolution of important waves as Bessel beams, plane…

光学 · 物理学 2012-06-26 Michel Zamboni-Rached , Erasmo Recami , Massimo Balma

Orthogonal least square (OLS) is an important sparse signal recovery algorithm for compressive sensing, which enjoys superior probability of success over other well-known recovery algorithms under conditions of correlated measurement…

信息论 · 计算机科学 2018-08-02 Samrat Mukhopadhyay , Siddhartha Satpathi , Mrityunjoy Chakraborty

The study of the optical transmission matrix (TM) of a sample reveals important statistics of light transport through it. The accuracy of the statistics depends strongly on the orthogonality and completeness of the basis in which the TM is…

光学 · 物理学 2020-12-29 Pritam Pai , Jeroen Bosch , Allard P. Mosk

This study investigates the applicability of Kirchhoff migration (KM) for a fast identification of unknown objects in a real-world limited-aperture inverse scattering problem. To demonstrate the theoretical basis for the applicability…

数值分析 · 数学 2024-11-06 Won-Kwang Park

We consider the application of a subspace migration (SM) algorithm to quickly identify small objects in microwave imaging. In various problems, it is easy to measure the diagonal elements of the scattering matrix if the location of the…

数值分析 · 数学 2025-10-13 Won-Kwang Park

In this paper, we develop a fast imaging technique for small anomalies located in homogeneous media from S-parameter data measured at dipole antennas. Based on the representation of S-parameters when an anomaly exists, we design a direct…

数值分析 · 数学 2018-03-13 Won-Kwang Park

The recently introduced non-iterative imaging method entitled \enquote{direct sampling method} (DSM) is known to be fast, robust, and effective for inverse scattering problems in the multi-static configuration but fails when applied to the…

数值分析 · 数学 2019-04-30 Sangwoo Kang , Marc Lambert , Won-Kwang Park

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…

信息论 · 计算机科学 2019-12-11 Ali Bereyhi , Ralf R. Müller

Open-set recognition (OSR) aims to simultaneously detect unknown-class samples and classify known-class samples. Most of the existing OSR methods are inductive methods, which generally suffer from the domain shift problem that the learned…

计算机视觉与模式识别 · 计算机科学 2022-07-14 Jiayin Sun , Qiulei Dong

This work is concerned with the inverse source problem of locating multiple multipolar sources from boundary measurements for the Helmholtz equation. We develop simple and effective sampling schemes for location acquisition of the sources…

偏微分方程分析 · 数学 2018-01-18 Deyue Zhang , Yukun Guo , Jingzhi Li , Hongyu Liu

Spare representation of signals has received significant attention in recent years. Based on these developments, a sparse representation-based classification (SRC) has been proposed for a variety of classification and related tasks,…

计算机视觉与模式识别 · 计算机科学 2016-07-19 Minshan Cui , Saurabh Prasad

We apply MUltiple SIgnal Classification (MUSIC) algorithm for the location reconstruction of a set of {two-dimensional circle-like} small inhomogeneities in the limited-aperture inverse scattering problem. Compared with the full- or…

数值分析 · 数学 2024-11-12 Won-Kwang Park
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