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This paper proposes a method for estimating a surface that contains a given set of points from noisy measurements. More precisely, by assuming that the surface is described by the zero set of a function in the span of a given set of…

系统与控制 · 电气工程与系统科学 2026-04-07 Omar M. Sleem , Sahand Kiani , Constantino M. Lagoa

Simulating high-resolution Synthetic Aperture Radar (SAR) images in complex scenes has consistently presented a significant research challenge. The development of a microwave-domain surface scattering model and its reversibility are poised…

计算机视觉与模式识别 · 计算机科学 2024-01-03 Jiangtao Wei , Yixiang Luomei , Xu Zhang , Feng Xu

In this letter a new method based on modified self-organizing maps is presented for the reconstruction of deep ocean current velocities from surface information provided by satellites. This method takes advantage of local correlations in…

大气与海洋物理 · 物理学 2017-05-24 Christopher Chapman , Anastase Alexandre Charantonis

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

统计理论 · 数学 2007-06-13 Peter Hall , Spiridon Penev

This paper concerns a fast, one-step iterative technique of imaging extended perfectly conducting cracks with Dirichlet boundary condition. In order to reconstruct the shape of cracks from scattered field data measured at the boundary, we…

数学物理 · 物理学 2017-04-13 Won-Kwang Park

This paper presents the analysis and characterization of the surface scattering process for both specular and diffused components. The study is focused on the investigation of various building materials each having a different roughness, at…

信号处理 · 电气工程与系统科学 2017-10-17 Angelos A. Goulianos , Alberto L. Freire , Tom Barratt , Evangelos Mellios , Peter Cain , Moray Rumney , Andrew Nix , Mark Beach

Plane Wave imaging enables many applications that require high frame rates, including localisation microscopy, shear wave elastography, and ultra-sensitive Doppler. To alleviate the degradation of image quality with respect to conventional…

信号处理 · 电气工程与系统科学 2021-12-24 Nishith Chennakeshava , Ben Luijten , Massimo Mischi , Yonina C. Eldar , Ruud J. G. van Sloun

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…

偏微分方程分析 · 数学 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

The quick and accurate retrieval of an object height from a single fringe pattern in Fringe Projection Profilometry has been a topic of ongoing research. While a single shot fringe to depth CNN based method can restore height map directly…

计算机视觉与模式识别 · 计算机科学 2023-05-01 Yixiao Wang , Canlin Zhou , Xingyang Qi , Hui Li

Surface reconstruction and novel view rendering from sparse-view images are challenging. Signed Distance Function (SDF)-based methods struggle with fine details, while 3D Gaussian Splatting (3DGS)-based approaches lack global geometry…

计算机视觉与模式识别 · 计算机科学 2025-07-29 Zihui Gao , Jia-Wang Bian , Guosheng Lin , Hao Chen , Chunhua Shen

Light detection and ranging (Lidar) data can be used to capture the depth and intensity profile of a 3D scene. This modality relies on constructing, for each pixel, a histogram of time delays between emitted light pulses and detected photon…

图像与视频处理 · 电气工程与系统科学 2019-09-13 Julián Tachella , Yoann Altmann , Ximing Ren , Aongus McCarthy , Gerald S. Buller , Jean-Yves Tourneret , Steve McLaughlin

We consider inverse obstacle and transmission scattering problems where the source of the incident waves is located on a smooth closed surface that is a boundary of a domain located outside of the obstacle/inhomogeneity of the media. The…

数学物理 · 物理学 2017-10-12 Evgeny Lakshtanov , Boris Vainberg

In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to help…

数值分析 · 数学 2016-02-17 Keji Liu , Yongzhi Xu , Jun Zou

Wavelength-resolved (WR) neutron transmission tomography is an emerging technique to characterize engineering materials. While tomographic reconstruction for amorphous samples is straightforward, it is challenging to reconstruct samples…

图像与视频处理 · 电气工程与系统科学 2019-02-19 S. V. Venkatakrishnan , Luc Dessieux , Philip Bingham

This paper presents a novel framework to recover \emph{detailed} avatar from a single image. It is a challenging task due to factors such as variations in human shapes, body poses, texture, and viewpoints. Prior methods typically attempt to…

计算机视觉与模式识别 · 计算机科学 2021-08-21 Hao Zhu , Xinxin Zuo , Haotian Yang , Sen Wang , Xun Cao , Ruigang Yang

This paper is concerned with a reconstruction method for multiple moving point/dipole wave sources. We assume that the number, locations, and magnitudes/moments of wave sources are unknown, and consider the problem to reconstruct these…

偏微分方程分析 · 数学 2019-04-15 Takashi Ohe

A numerical method for processing the data of ground penetrating radars for a piece-wise continuous layered medium is proposed. The method combines the layer stripping technique with numerical continuation of data into the complex…

数值分析 · 数学 2026-03-17 Ruben Airapetyan

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

数值分析 · 数学 2020-10-28 Carlos Borges , Jun Lai

We propose an approach to analysing single trajectories of a particle, which moves randomly on a landscape distinct parts of which result in sufficiently various diffusion coefficients. The method based on the mapping the cumulative sum of…

生物物理 · 物理学 2019-09-04 Eugene B. Postnikov , Igor M. Sokolov

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for inverse elastic scattering problems with phaseless far field data. Systematically, we study two basic models, i.e., inverse scattering of plane…

偏微分方程分析 · 数学 2020-01-08 Xia Ji , Xiaodong Liu