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We propose a new algorithm to learn a dictionary for reconstructing and sparsely encoding signals from measurements without phase. Specifically, we consider the task of estimating a two-dimensional image from squared-magnitude measurements…

最优化与控制 · 数学 2016-11-23 Andreas M. Tillmann , Yonina C. Eldar , Julien Mairal

We consider the \textit{phase retrieval} problem of recovering a sparse signal $\mathbf{x}$ in $\mathbb{R}^d$ from intensity-only measurements in dimension $d \geq 2$. Phase retrieval can be equivalently formulated as the problem of…

组合数学 · 数学 2021-09-01 Alexei Novikov , Stephen White

An unbiased estimator for the ellipticity of an object in a noisy image is given in terms of the image moments. Three assumptions are made: i) the pixel noise is normally distributed, although with arbitrary covariance matrix, ii) the image…

宇宙学与河外天体物理 · 物理学 2017-08-09 Nicolas Tessore

If the optical system of a telescope is perturbed from rotational symmetry, the Zernike wavefront aberration coefficients describing that system can be expressed as a function of position in the focal plane using spin-weighted Zernike…

天体物理仪器与方法 · 物理学 2018-02-19 Stephen M. Kent

This study presents a noise-robust framework for 1-bit diffraction tomography, a novel imaging approach that relies on intensity-only binary measurements obtained through coded apertures. The proposed reconstruction scheme leverages random…

信息论 · 计算机科学 2025-05-27 Pengwen Chen , Albert Fannjiang

In the absence of a pure noise-free image it is hard to define what noise is, in any original noisy image, and as a consequence also where it is, and in what amount. In fact, the definition of noise depends largely on our own aim in the…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Vitorino Ramos , Fernando Muge

This article suggests an algorithm of impulse noise filtration, based on the community detection in graphs. The image is representing as non-oriented weighted graph. Each pixel of an image is corresponding to a vertex of the graph.…

计算机视觉与模式识别 · 计算机科学 2018-12-27 S. V. Belim , S. B. Larionov

Noise is a major issue while transferring images through all kinds of electronic communication. One of the most common noise in electronic communication is an impulse noise which is caused by unstable voltage. In this paper, the comparison…

计算机视觉与模式识别 · 计算机科学 2014-10-09 Suman Shrestha

In the last few years, image processing researchers spent a substantial amount of time and effort developing and perfecting image quality assessment algorithms. Bright-field microscopy, for example, produces images whose quality is a…

图像与视频处理 · 电气工程与系统科学 2020-03-26 V. A. A. Catanante , O. M. Bruno , J. E. S. Batista Neto

Usually, off-axis digital holographic microscopy requires a coherent light source in order to record a full-field hologram. Nevertheless, a LASER-based illumination leads to a non-negligible coherent noise, decreasing then the imaging…

光学 · 物理学 2021-11-02 Stephane Perrin , Jonas Kuhn , Christian Depeursinge

Optical stellar interferometers have demonstrated milli-arcsecond resolution with few apertures spaced hundreds of meters apart. To obtain rich direct images, many apertures will be needed, for a better sampling of the incoming wavefront.…

天体物理仪器与方法 · 物理学 2014-09-17 Arun Surya , Swapan K. Saha , Antoine Labeyrie

Being complex-valued and low in signal-to-noise ratios, magnitude-based diffusion MRI is confounded by the noise-floor that falsely elevates signal magnitude and incurs bias to the commonly used diffusion indices, such as fractional…

计算机视觉与模式识别 · 计算机科学 2021-06-15 Liu Feihong , Yang Junwei , He Xiaowei , Zhou Luping , Feng Jun , Shen Dinggang

We present the experimental reconstruction of sub-wavelength features from the far-field intensity of sparse optical objects: sparsity-based sub-wavelength imaging combined with phase-retrieval. As examples, we demonstrate the recovery of…

We present a single-image numerical phase retrieval method for Zernike phase-contrast microscopy (ZPM) that addresses halo and shade-off artifacts, as well as the weak phase condition, without requiring hardware modifications. By employing…

Sample-induced aberrations and optical imperfections limit the resolution of fluorescence microscopy. Phase diversity is a powerful technique that leverages complementary phase information in sequentially acquired images with deliberately…

Fluorescence microscopy has enabled a dramatic development in modern biology. Due to its inherently weak signal, fluorescence microscopy is not only much noisier than photography, but also presented with Poisson-Gaussian noise where Poisson…

计算机视觉与模式识别 · 计算机科学 2019-04-09 Yide Zhang , Yinhao Zhu , Evan Nichols , Qingfei Wang , Siyuan Zhang , Cody Smith , Scott Howard

We propose a novel method of efficient upsampling of a single natural image. Current methods for image upsampling tend to produce high-resolution images with either blurry salient edges, or loss of fine textural detail, or spurious noise…

计算机视觉与模式识别 · 计算机科学 2015-03-03 Chinmay Hegde , Oncel Tuzel , Fatih Porikli

This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based…

计算机视觉与模式识别 · 计算机科学 2012-04-16 Ayan Chakrabarti , Todd Zickler

Flux estimates for faint sources or transients are systematically biased high because there are far more truly faint sources than bright. Corrections which account for this effect are presented as a function of signal-to-noise ratio and the…

天体物理学 · 物理学 2009-10-30 David W. Hogg , Edwin L. Turner

A geometric form of information theory allows for reasonable, i.e. probabilistic, evidence-ranking based, and generalized noise-level dependent, classifications of the crystallographic and quasicrystallographic symmetries in noisy digital…

数据分析、统计与概率 · 物理学 2021-12-21 Peter Moeck