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With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

信息论 · 计算机科学 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

Take a multidimensional normally or obliquely reflected diffusion in a smooth domain. Approximate it by solutions of stochastic differential equations without reflection using the penalty method. That is, we approximate the reflection term…

概率论 · 数学 2021-08-09 Andrey Sarantsev

We present a variational Bayesian method of joint image reconstruction and point spread function (PSF) estimation when the PSF of the imaging device is only partially known. To solve this semi-blind deconvolution problem, prior…

数据分析、统计与概率 · 物理学 2013-03-18 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

In the paper, a new method of blind estimation of noise variance in a single highly textured image is proposed. An input image is divided into 8x8 blocks and discrete cosine transform (DCT) is performed for each block. A part of 64 DCT…

计算机视觉与模式识别 · 计算机科学 2017-11-30 Mykola Ponomarenko , Nikolay Gapon , Viacheslav Voronin , Karen Egiazarian

Optical coherence tomography (OCT) is a noninvasive technology that enables real-time imaging of tissue microanatomies. The axial resolution of OCT is intrinsically constrained by the spectral bandwidth of the employed light source while…

图像与视频处理 · 电气工程与系统科学 2024-01-09 Kaiyan Li , Jingyuan Yang , Wenxuan Liang , Xingde Li , Chenxi Zhang , Lulu Chen , Chan Wu , Xiao Zhang , Zhiyan Xu , Yuelin Wang , Lihui Meng , Yue Zhang , Youxin Chen , S. Kevin Zhou

For a sample of absolutely bounded i.i.d. random variables with a continuous density the cumulative distribution function of the sample variance is represented by a univariate integral over a Fourier series. If the density is a polynomial…

统计理论 · 数学 2008-10-10 T. Royen

I propose a superoscillation measurement method for subdiffraction incoherent optical sources, with potential applications in astronomy, remote sensing, fluorescence microscopy, and spectroscopy. The proposal, based on coherent optical…

量子物理 · 物理学 2022-10-10 Mankei Tsang

A dynamic temperature compensation method is presented to stabilize the wavelength of the entangled biphoton source, which is generated via the spontaneous parametric down-conversion based on a MgO: PPLN waveguide. Utilizing the dispersive…

量子物理 · 物理学 2024-04-30 Yuting Liu , Huibo Hong , Xiao Xiang , Runai Quan , Tao Liu , Mingtao Cao , Shougang Zhang , Ruifang Dong

The most recent generalization of octonion Fourier transform (OFT) is the octonion linear canonical transform (OLCT) that has become popular in present era due to its applications in color image and signal processing. On the other hand the…

泛函分析 · 数学 2022-12-07 Aamir H. Dar , M. Younus Bhat

We implement a general imaging method by measuring the complex degree of coherence using linear optics and photon number resolving detectors. In the absence of collective or entanglement assisted measurements, our method is optimal over a…

量子物理 · 物理学 2019-10-09 L. A. Howard , G. G. Gillett , M. E. Pearce , R. A. Abrahao , T. J. Weinhold , P. Kok , A. G. White

In the framework of statistical optics, a Wigner function represents partially coherent radiation. A Gaussian Wigner function, which is an equivalent representation of the more commonly used Gaussian Schell-model cross-spectral density, may…

加速器物理 · 物理学 2024-06-12 Ilya V. Pogorelov , Boaz Nash , Dan T. Abell , Paul Moeller , Nicholas Goldring

Two-frequency Wigner distribution is introduced to capture the asymptotic behavior of the space-frequency correlation of paraxial waves in the radiative transfer limits. The scaling limits give rises to deterministic transport-like…

光学 · 物理学 2015-06-26 Albert C. Fannjiang

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

偏微分方程分析 · 数学 2018-06-21 Lorenzo Baldassari

We describe a numerical algorithm which simulates the propagation of light in inhomogeneous universes, using the multiple lens-plane method. The deformation and deflection of light beams as they interact with each lens plane are computed…

天体物理学 · 物理学 2009-10-30 Premana Premadi , Hugo Martel , Richard Matzner

We develop a new dispersion minimizing compact finite difference scheme for the Helmholtz equation in 2 and 3 dimensions. The scheme is based on a newly developed ray theory for difference equations. A discrete Helmholtz operator and a…

数值分析 · 数学 2016-04-13 Christiaan C. Stolk

An optical imaging system forms an object image by recollecting light scattered by the object. However, intact optical information of the object delivered through the imaging system is deteriorated by imperfect optical elements and unwanted…

光学 · 物理学 2017-03-28 SangYun Lee , Kyeoreh Lee , Seungwoo Shin , YongKeun Park

Higher (2nd)-order Wigner distribution function in quantum phase space for entangled bi-modal coherent states, a representative of higher (2nd)-order optical-polarization, is introduced by generalizing kernel (transiting) operator in…

量子物理 · 物理学 2012-04-04 Ravi S. Singh , Sunil P. Singh , Lallan Yadava , Gyaneshwar K. Gupta

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

Defect detection by ultrasonic method is limited by the pulse width. Resolution can be improved through a deconvolution process with a priori information of the pulse or by its estimation. In this paper a regularization of the Wiener filter…

信息论 · 计算机科学 2012-05-17 Roberto H. Herrera , Eduardo Moreno , Héctor Calas , Rubén Orozco

We propose a novel diffusion-based image generation method called the observation-guided diffusion probabilistic model (OGDM), which effectively addresses the tradeoff between quality control and fast sampling. Our approach reestablishes…

机器学习 · 计算机科学 2024-04-02 Junoh Kang , Jinyoung Choi , Sungik Choi , Bohyung Han