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We use a spatial light modulator in a diffraction tomographic system to assess the accuracy of different refractive index reconstruction algorithms. Optical phase conjugation principles through complex media, allows us to quantify the error…

光学 · 物理学 2019-10-02 Ahmed B. Ayoub , Thanh-An Pham , Joowon Lim , Michael Unser , Demetri Psaltis

Lensless in-line holography is a simple, portable, and cost-effective method of imaging especially for the biomedical microscopy applications. We propose a multiplicative gradient descent optimization based method to obtain multi-depth…

图像与视频处理 · 电气工程与系统科学 2020-04-20 Sanjeev Kumar , Manjunatha Mahadevappa , Pranab Kumar Dutta

A general method for analytic inversion in integral geometry is proposed. All classical and some new reconstruction formulas of Radon-John type are obtained by this method. No harmonic analysis and PDE is used.

微分几何 · 数学 2015-06-03 Victor P. Palamodov

We discuss a new approach to three-dimensional electrical impedance imaging based on a reduction of the information to be demanded from a reconstruction algorithm. Images are obtained from a single measurement by suitably simplifying the…

计算物理 · 物理学 2009-11-06 C. Lehmann , K. Schilcher

In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a…

数值分析 · 数学 2024-02-23 Peter Elbau , Leonidas Mindrinos , Leopold Veselka

Using three coupled harmonic oscillators, we present an amplitude-amplification method for factorization of an integer. We generalize the method in [arXiv:1007.4338] by employing non-orthogonal measurements on the harmonic oscillator. This…

量子物理 · 物理学 2012-08-07 H. T. Ng , Franco Nori

The alternative replica technique which involve summation over all integer momenta of the partition function and which does not require analytic continuation to non-integer values of the replica parameter $n$ is discussed. In terms of this…

无序系统与神经网络 · 物理学 2015-05-27 Victor Dotsenko

The iterative refinement method (IRM) has been very successfully applied in many different fields for examples the modern quantum chemical calculation and CT image reconstruction. It is proved that the refinement method can create an exact…

医学物理 · 物理学 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

数值分析 · 数学 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

Phase-wrapping artifacts, statistical image noise and the need for a minimum amount of phase steps per projection limit the practicability of x-ray grating based phase-contrast tomography, when using filtered back projection reconstruction.…

The reconstruction of broad resonances is important for understanding the dynamics of heavy ion collisions. However, large combinatorial background makes this objective very challenging. In this work an innovative iterative method which…

数据分析、统计与概率 · 物理学 2020-01-08 Georgy Kornakov , Tetyana Galatyuk

To study the fundamental physics of complex multiphase flow systems using advanced measurement techniques, especially the electrical capacitance tomography (ECT) approach, this article carries out an initial literature review of the ECT…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Kezhi Li

In this paper, we study a fast approximate inference method based on expectation propagation for exploring the posterior probability distribution arising from the Bayesian formulation of nonlinear inverse problems. It is capable of…

数值分析 · 数学 2015-06-18 Matthias Gehre , Bangti Jin

Fluorescence Molecular Tomography (FMT) is a widely used non-invasive optical imaging technology in biomedical research. It usually faces significant accuracy challenges in depth reconstruction, and conventional iterative methods struggle…

数值分析 · 数学 2025-10-08 Ruchi Guo , Jiahua Jiang , Bangti Jin , Wuwei Ren , Jianru Zhang

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.…

Electrical impedance tomography is an imaging modality for extracting information on the interior structure of a physical body from boundary measurements of current and voltage. This work studies a new robust way of modeling the contact…

数值分析 · 数学 2022-07-06 J. Dardé , N. Hyvönen , T. Kuutela , T. Valkonen

The method of geometric harmonics is adapted to the situation of incomplete data by means of the iterated geometric harmonics (IGH) scheme. The method is tested on natural and synthetic data sets with 50--500 data points and dimensionality…

机器学习 · 计算机科学 2014-11-05 Chad Eckman , Jonathan A. Lindgren , Erin P. J. Pearse , David J. Sacco , Zachariah Zhang

This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are…

数值分析 · 数学 2025-03-11 Xiaodong Liu , Qingxiang Shi

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…

Electron tomographic reconstruction is a method for obtaining a three-dimensional image of a specimen with a series of two dimensional microscope images taken from different viewing angles. Filtered backprojection, one of the most popular…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Chen Mu , Chiwoo Park