中文
相关论文

相关论文: Quantitative reconstructions in multi-modal photoa…

200 篇论文

Quantum imaging has a potential of enhancing precision of the object reconstruction by using quantum correlations of the imaging field. This is especially important for imaging requiring low-intensity fields up to the level of few-photons.…

Quantitative photoacoustic tomography is an emerging imaging technique aimed at estimating the distribution of optical parameters inside tissues from photoacoustic images, which are formed by combining optical information and ultrasonic…

数值分析 · 数学 2016-06-02 Antti Hannukainen , Nuutti Hyvönen , Helle Majander , Tanja Tarvainen

We present a novel quantum tomographic reconstruction method based on Bayesian inference via the Kalman filter update equations. The method not only yields the maximum likelihood/optimal Bayesian reconstruction, but also a covariance matrix…

量子物理 · 物理学 2011-05-13 Koenraad M. R. Audenaert , S. Scheel

This work is concerned with uncertainty quantification problems for image reconstructions in quantitative photoacoustic imaging (PAT), a recent hybrid imaging modality that utilizes the photoacoustic effect to achieve high-resolution…

数值分析 · 数学 2018-12-10 Kui Ren , Sarah Vallélian

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known…

计算物理 · 物理学 2019-02-06 T. Ramos , Bastian E. Grønager , Martin Skovgaard Andersen , J. W. Andreasen

The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse…

偏微分方程分析 · 数学 2024-04-05 Tianyu Yang , Yang Yang

In this paper, we expand the theory of depth-unbiased source localization to unbiased parameter estimation and signal reconstruction of an arbitrary number of non-zero parameters to be recovered. The topic touches on the concept of exact…

信息论 · 计算机科学 2026-05-08 Joonas Lahtinen

Here we present new joint reconstruction and regularization techniques inspired by ideas in microlocal analysis and lambda tomography, for the simultaneous reconstruction of the attenuation coefficient and electron density from X-ray…

图像与视频处理 · 电气工程与系统科学 2020-08-26 James Webber , Eric Todd Quinto , Eric L. Miller

We consider the ultrasound imaging problem governed by a nonlinear wave equation of Westervelt type with variable wave speed. We show that the coefficient of nonlinearity can be recovered uniquely from knowledge of the Dirichlet-to-Neumann…

偏微分方程分析 · 数学 2022-02-04 Sebastian Acosta , Gunther Uhlmann , Jian Zhai

In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time. We consider a sufficiently strong and isotropic, but otherwise unknown…

偏微分方程分析 · 数学 2015-03-30 Sebastian Acosta

In this paper, we describe the numerical reconstruction method for quantitative photoacoustic tomography (QPAT) based on the radiative transfer equation (RTE), which models light propagation more accurately than diffusion approximation…

定量方法 · 定量生物学 2017-10-25 Chao Wang , Tie Zhou

A method to reconstruct weakly anisotropic inhomogeneous dielectric tensors inside a transparent medium is proposed. The mathematical theory of Integral Geometry is cast into a workable framework which allows the full determination of…

光学 · 物理学 2009-11-10 Hanno Hammer , William R. B. Lionheart

We consider the problem of reconstructing signals and images from periodic nonlinearities. For such problems, we design a measurement scheme that supports efficient reconstruction; moreover, our method can be adapted to extend to…

机器学习 · 统计学 2017-10-03 Viraj Shah , Mohammadreza Soltani , Chinmay Hegde

We consider the problem of reconstruction of Cauchy data for the wave equation in $\mathbb{R}^1$ by the measurements of its solution on the boundary of the finite interval. This is a one-dimensional model for the multidimensional problem of…

偏微分方程分析 · 数学 2025-05-26 D. Langemann , A. S. Mikhaylov , V. S. Mikhaylov

We present new method for the numerical reconstruction of the variable refractive index of multi-layered circular weakly guiding dielectric waveguides using the measurements of the propagation constants of their eigenwaves. Our numerical…

数值分析 · 数学 2015-12-22 E. M. Karchevskii , L. Beilina , A. O. Spiridonov , A. I. Repina

We propose a multiscale approach for a nonlinear Helmholtz problem with possible oscillations in the Kerr coefficient, the refractive index, and the diffusion coefficient. The method does not rely on structural assumptions on the…

数值分析 · 数学 2021-12-10 Roland Maier , Barbara Verfürth

This paper explores the reconstruction of a space-dependent parameter in inverse diffusion problems, proposing a shape-optimization-based approach. We consider a Robin boundary condition, physically motivated in diffuse optical tomography…

数值分析 · 数学 2026-01-27 Manabu Machida , Hirofumi Notsu , Julius Fergy Tiongson Rabago

To obtain the initial pressure from the collected data on a planar sensor arrangement in Photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

This paper presents an innovative approach to computational acoustic imaging of biperiodic surfaces, exploiting the capabilities of an acoustic superlens to overcome the diffraction limit. We address the challenge of imaging physical…

偏微分方程分析 · 数学 2026-01-05 Yuliang Wang

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

偏微分方程分析 · 数学 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland