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In this paper, we formulate the reconstruction problem in diffuse optical tomography (DOT) in a statistical setting for determining the optical parameters, scattering and absorption, from boundary photon density measurements. A special kind…

数值分析 · 数学 2020-02-20 Thilo Strauss , Sanwar Ahmad , Taufiquar Khan

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…

光学 · 物理学 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

In this paper, we study the mathematical imaging problem of optical diffraction tomography (ODT) for the scenario of a microscopic rigid particle rotating in a trap created, for instance, by acoustic or optical forces. Under the influence…

This work presents new methods and algorithms for tracking the shape and trajectory of moving reflecting obstacles with broken rays, or rays reflecting at an obstacle. While in tomography the focus of the reconstruction method is to recover…

图形学 · 计算机科学 2011-11-29 Kamen Lozev

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

偏微分方程分析 · 数学 2023-11-29 General Ozochiawaeze

Reconstructing the surfaces of deformable objects from correspondences between a 3D template and a 2D image is well studied under Shape-from-Template (SfT) methods; however, existing approaches break down when topological changes accompany…

计算机视觉与模式识别 · 计算机科学 2025-11-06 Kevin Manogue , Tomasz M Schang , Dilara Kuş , Jonas Müller , Stefan Zachow , Agniva Sengupta

This paper addresses the problem of reconstructing the surface shape of transparent objects. The difficulty of this problem originates from the viewpoint dependent appearance of a transparent object, which quickly makes reconstruction…

图像与视频处理 · 电气工程与系统科学 2021-05-24 Kai Han , Kwan-Yee K. Wong , Miaomiao Liu

Various imaging techniques have significantly enhanced our ability to visualize objects embedded within complex media such as biological tissues, fog, atmosphere, or various turbid media. Optical imaging, in particular, offers multiple…

光学 · 物理学 2025-05-05 Mingwei He , Sujit K. Sahoo , Chengyuan Xiao , Cuong Dang

Dual energy computerized tomography has gained great interest because of its ability to characterize the chemical composition of a material rather than simply providing relative attenuation images as in conventional tomography. The purpose…

计算机视觉与模式识别 · 计算机科学 2015-05-27 Oguz Semerci , Eric L. Miller

In optical tomography a physical body is illuminated with near-infrared light and the resulting outward photon flux is measured at the object boundary. The goal is to reconstruct internal optical properties of the body, such as absorption…

数值分析 · 数学 2016-01-20 Antti Hannukainen , Lauri Harhanen , Nuutti Hyvönen , Helle Majander

We are concerned with the reconstruction of a sound-soft obstacle using far field measurements of the scattered waves associated with incident plane waves sent from one direction but at multiple frequencies. We define, for each frequency,…

数值分析 · 数学 2013-10-22 Mourad Sini , Nguyen Trung Thành

Promoted by the advent of coherent synchrotron light sources, phase contrast tomography allows to resolve three-dimensional variations of an unknown sample's complex refractive index from scattering intensities recorded at different…

数值分析 · 数学 2015-02-19 Simon Maretzke

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

Time-of-flight (ToF) devices have greatly propelled the advancement of various multi-modal perception applications. However, achieving accurate rendering of time-resolved information remains a challenge, particularly in scenes involving…

图形学 · 计算机科学 2024-06-17 Qianyue He , Dongyu Du , Haitian Jiang , Xin Jin

Reconstructing an object's shape and appearance in terms of a mesh textured by a spatially-varying bidirectional reflectance distribution function (SVBRDF) from a limited set of images captured under collocated light is an ill-posed…

计算机视觉与模式识别 · 计算机科学 2025-01-31 Julian Kaltheuner , Patrick Stotko , Reinhard Klein

We analyze multi-bounce propagation of light in an unknown hidden volume and demonstrate that the reflected light contains sufficient information to recover the 3D structure of the hidden scene. We formulate the forward and inverse theory…

We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties…

偏微分方程分析 · 数学 2017-06-15 Jingzhi Li , Xiaofei Li , Hongyu Liu

This paper presents a neural network approach for solving two-dimensional optical tomography (OT) problems based on the radiative transfer equation. The mathematical problem of OT is to recover the optical properties of an object based on…

计算物理 · 物理学 2019-10-14 Yuwei Fan , Lexing Ying

The recent development of scintillation crystals combined with $\gamma$-rays sources opens the way to an imaging concept based on Compton scattering, namely Compton scattering tomography (CST). The associated inverse problem rises many…

数值分析 · 数学 2023-02-22 Janek Gödeke , Gaël Rigaud

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple…

数值分析 · 数学 2023-07-19 Yan Chang , Yukun Guo , Hongyu Liu , Deyue Zhang