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We consider the Cauchy-problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of high-frequency asymptotics of such models is reviewed,in particular we highlight the difficulties in…

数学物理 · 物理学 2007-05-23 Christof Sparber , Peter A. Markowich , Norbert J. Mauser

Propagating photons serve as essential links for distributing quantum information and entanglement across distant nodes. Knowledge of their Wigner functions not only enables their deployment as active information carriers but also provides…

量子物理 · 物理学 2025-07-03 Qi-Ming Chen , Aarne Keränen , Aashish Sah , Mikko Möttönen

X-ray phase-contrast imaging enhances soft tissue visualization by leveraging the phase shift of X-rays passing through materials. It permits to minimize radiation exposure due to high contrast, as well as high resolution imaging limited by…

光学 · 物理学 2024-03-13 Emilie Pietersoone , Jean Michel Létang , Simon Rit , Max Langer

A new formulation of lateral imaging process of point-scanning optical coherence tomography (OCT) and a new differential contrast method designed by using this formulation are presented. The formulation is based on a mathematical sample…

We introduce a loss compensation method to increase the resolution of near-field imaging with a plasmonic superlens that relies on the convolution of a high spatial frequency passband function with the object. Implementation with incoherent…

光学 · 物理学 2018-01-23 Wyatt Adams , Anindya Ghoshroy , Durdu Ö. Güney

Speckle is an intrinsic pattern in optical coherence tomography (OCT) that obscures fine image features and degrades effective resolution. In this study, we propose a numerical speckle reduction method based on the dispersed scatterer model…

Conventional wisdom holds that autoregressive models for image generation are typically accompanied by vector-quantized tokens. We observe that while a discrete-valued space can facilitate representing a categorical distribution, it is not…

计算机视觉与模式识别 · 计算机科学 2024-11-04 Tianhong Li , Yonglong Tian , He Li , Mingyang Deng , Kaiming He

In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high resolution images of the inner structure of biological tissues. Images are…

数值分析 · 数学 2016-04-19 Peter Elbau , Leonidas Mindrinos , Otmar Scherzer

The optical reflection coefficient of a dielectric medium moving uniformly in the plane spanned by its surface is rigorously calculated using classical electrodynamics and special relativity, and expressed in the Fourier domain, as a…

Holographic optical coherence tomography (OCT) is a powerful imaging technique, but its ability to reveal low-reflectivity features is limited. In this study, we performed holographic OCT by incoherently averaging volumes with changing…

Optical coherence tomography (OCT) is a widely used imaging technique in the micrometer regime, which gained accelerating interest in medical imaging in the last twenty years. In up-to-date OCT literature [5,6] certain simplifying…

医学物理 · 物理学 2024-02-23 Leopold Veselka , Lisa Krainz , Leonidas Mindrinos , Wolfgang Drexler , Peter Elbau

The removal of blur from a signal, in the presence of noise, is readily accomplished if the blur can be described in precise mathematical terms. However, there is growing interest in problems where the extent of blur is known only…

统计理论 · 数学 2007-11-06 Peter Hall , Peihua Qiu

This paper is concerned with the inverse scattering problem which aims to determine the spatially distributed dielectric constant coefficient of the 2D Helmholtz equation from multifrequency backscatter data associated with a single…

数值分析 · 数学 2020-02-25 Trung Truong , Dinh-Liem Nguyen , Michael Klibanov

Optical coherence tomography (OCT) has proven to be a powerful technique for studying tissue morphology in ophthalmology, cardiology, and endomicroscopy. Its performance is limited by the fundamental trade-off between the imaging…

光学 · 物理学 2008-02-27 Keisuke Goda , Daniel R. Solli , Bahram Jalali

We examine the effect of the decoherence-induced reduction of correlation length on a one-dimensional scattering problem by solving numerically the evolution equation for the Wigner function with decoherence proposed in [L. Barletti, G.…

量子物理 · 物理学 2021-10-20 l. Barletti , P. Bordone , L. Demeio , E. Giovannini

We present a computational method for full-range interferometric synthetic aperture microscopy (ISAM) under dispersion encoding. With this, one can effectively double the depth range of optical coherence tomography (OCT), whilst…

图像与视频处理 · 电气工程与系统科学 2020-02-03 Jonathan H. Mason , Mike E. Davies , Pierre O. Bagnaninchi

Optical diffraction tomography relies on solving an inverse scattering problem governed by the wave equation. Classical reconstruction algorithms are based on linear approximations of the forward model (Born or Rytov), which limits their…

计算工程、金融与科学 · 计算机科学 2017-09-01 Emmanuel Soubies , Thanh-An Pham , Michael Unser

Optical diffraction tomography is an indispensable tool for studying objects in three-dimensions due to its ability to accurately reconstruct scattering objects. Until now this technique has been limited to coherent light because spatial…

Joint image compression and wireless transmission remain relatively underexplored compared to generic image restoration, despite its importance in practical communication systems. We formulate this problem under an equivalent linear model,…

图像与视频处理 · 电气工程与系统科学 2026-05-01 Wentao Hou , Yimin Bai , Zelei Luo , Jiadong Hong , Lei Liu

This paper describes a very efficient algorithm for image signal extrapolation. It can be used for various applications in image and video communication, e.g. the concealment of data corrupted by transmission errors or prediction in video…

图像与视频处理 · 电气工程与系统科学 2022-07-21 Jürgen Seiler , Katrin Meisinger , André Kaup