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We propose a new technique to measure the time delay of radio-loud gravitational lens systems, which does not rely on the excessive use of interferometric observations. Instead, the method is based on single-dish flux density monitoring of…

天体物理学 · 物理学 2015-06-24 Bernhard Geiger , Peter Schneider

This paper introduces a design method for densergraph-frequency graph Fourier frames (DGFFs) to enhance graph signal processing and analysis. The graph Fourier transform (GFT) enables us to analyze graph signals in the graph spectral domain…

信号处理 · 电气工程与系统科学 2025-03-18 Kaito Nitani , Seisuke Kyochi

Conventional methods of wavefront reconstruction from the raw data of the Shack-Hartmann sensor use the focal spot shifts and discard the high-frequency information about the wavefront. Phase-retrieval-based methods treat the Hartmann…

Image inpainting plays a vital role in restoring missing image regions and supporting high-level vision tasks, but traditional methods struggle with complex textures and large occlusions. Although Transformer-based approaches have…

计算机视觉与模式识别 · 计算机科学 2025-06-24 Sijin He , Guangfeng Lin , Tao Li , Yajun Chen

An adaptive optics system with a single deformable mirror is being implemented on the THEMIS 90cm solar telescope. This system is designed to operate in the visible and is required to be as robust as possible in order to deliver the best…

天体物理仪器与方法 · 物理学 2021-01-11 Michel Tallon , Éric Thiébaut , Maud Langlois , Bernard Gelly , Richard Douet , Clémentine Béchet , Loïc Denis , Gil Moretto

Nullifying the servo bandwidth errors improves the strehl ratio by a substantial quantity in adaptive optics systems. An effective method for predicting atmospheric turbulence to reduce servo bandwidth errors in real time closed loop…

天体物理仪器与方法 · 物理学 2011-09-14 Akondi Vyas , M B Roopashree , B Raghavendra Prasad

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

数据分析、统计与概率 · 物理学 2015-07-08 Elya Courtney , Michael Courtney

In portable, 3-D, or ultra-fast ultrasound (US) imaging systems, there is an increasing demand to reconstruct high quality images from limited number of data. However, the existing solutions require either hardware changes or…

计算机视觉与模式识别 · 计算机科学 2017-10-31 Yeo Hun Yoon , Jong Chul Ye

We consider the problem of reconstructing one-dimensional point sources from their Fourier measurements in a bounded interval $[-\Omega, \Omega]$. This problem is known to be challenging in the regime where the spacing of the sources is…

信号处理 · 电气工程与系统科学 2024-06-11 Zetao Fei , Hai Zhang

The Zernike wavefront sensor (ZWFS) is a concept belonging to the wide class Fourier-filtering wavefront sensor (FFWFS). The ZWFS is known for its extremely high sensitivity while having a low dynamic range, which makes it a unique sensor…

We address the problem of approximating parametric Fourier imaging problems via interpolation/ extrapolation algorithms that impose smoothing constraints across contiguous values of the parameter. Previous works already proved that…

数值分析 · 数学 2025-05-21 Anna Volpara , Alessandro Lupoli , Emma Perracchione

Bayesian image restoration has had a long history of successful application but one of the limitations that has prevented more widespread use is that the methods are generally computationally intensive. The authors recently addressed this…

统计方法学 · 统计学 2023-06-02 Karl Young , John Kornak , Eric Friedman

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

图像与视频处理 · 电气工程与系统科学 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

The Fractional Fourier Transform (FRT) corresponds to an arbitrary-angle rotation in the phase space, e.g. the time-frequency (TF) space, and generalizes the fundamentally important Fourier Transform. FRT applications range from classical…

光学 · 物理学 2024-03-06 Michał Lipka , Michał Parniak

Many interesting and fundamentally practical optimization problems, ranging from optics, to signal processing, to radar and acoustics, involve constraints on the Fourier transform of a function. It is well-known that the {\em fast Fourier…

最优化与控制 · 数学 2012-09-05 Robert J. Vanderbei

High-resolution imaging in the terahertz (THz) spectral range remains fundamentally constrained by the limited numerical apertures of currently existing state-of-the-art imagers, which restricts its applicability across many fields, such as…

In this article, we report an imaging method, termed Fourier ptychographic microscopy (FPM), which iteratively stitches together a number of variably illuminated, low-resolution intensity images in Fourier space to produce a wide-field,…

光学 · 物理学 2014-05-02 Guoan Zheng , Roarke Horstmeyer , Changhuei Yang

X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of…

To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged since the early 1990s as powerful 3D imaging methods that…

最优化与控制 · 数学 2009-09-03 Lotfi Chaari , Jean-Christophe Pesquet , Philippe Ciuciu , Amel Benazza-Benyahia

Fourier transform-based methods enable accurate, dispersion-free simulations of time-domain scattering problems by evaluating solutions to the Helmholtz equation at a discrete set of frequencies sufficient to approximate the inverse Fourier…

数值分析 · 数学 2025-10-29 Oscar P. Bruno , Manuel A. Santana