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Dimensional reduction of high dimensional data can be achieved by keeping only the relevant eigenmodes after principal component analysis. However, differentiating relevant eigenmodes from the random noise eigenmodes is problematic. A new…

Data Analysis, Statistics and Probability · Physics 2008-12-31 Yu Ding , Yiu-Cho Chung , Kun Huang , Orlando P. Simonetti

Synthetic Magnetic Resonance (MR) imaging predicts images at new design parameter settings from a few observed MR scans. Model-based methods, that use both the physical and statistical properties underlying the MR signal and its…

Applications · Statistics 2023-08-25 Subrata Pal , Somak Dutta , Ranjan Maitra

We present a novel method that allows for measuring the quality of diffusion-weighted MR images dependent on the image resolution and the image noise. For this purpose, we introduce a new thresholding technique so that noise and the signal…

Computer Vision and Pattern Recognition · Computer Science 2011-05-10 Jan Klein , Sebastiano Barbieri , Miriam H. A. Bauer , Christopher Nimsky , Horst K. Hahn

Acquired images for medical and other purposes can be affected by noise from both the equipment used in the capturing or the environment. This can have adverse effect on the information therein. Thus, the need to restore the image to its…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 E. G. Onyedinma , I. E. Onyenwe

Population imaging studies rely upon good quality medical imagery before downstream image quantification. This study provides an automated approach to assess image quality from cardiovascular magnetic resonance (CMR) imaging at scale. We…

Image and Video Processing · Electrical Eng. & Systems 2025-10-28 Shahabedin Nabavi , Hossein Simchi , Mohsen Ebrahimi Moghaddam , Alejandro F. Frangi , Ahmad Ali Abin

Subspace methods are essential to high-resolution environment sensing in the emerging unmanned systems, if further combined with the millimeter-wave (mm-Wave) massive multi-input multi-output (MIMO) technique. The estimation of signal/noise…

Signal Processing · Electrical Eng. & Systems 2021-01-13 Li Bin , Wang Shuseng , Zhang Jun , Cao Xianbin , Zhao Chenglin

In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

Optimization and Control · Mathematics 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto

Magnetic Resonance Imaging (MRI) is an essential diagnostic tool in clinical settings but its utility is often hindered by noise artifacts introduced during the imaging process. Effective denoising is critical for enhancing image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Zeyun Deng , Joseph Campbell

The problem of noise covariance matrix identification of stochastic linear time-varying state-space models is addressed. The measurement difference method (MDM) is generalized to time-varying dimensions of the measurement and control. Three…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Oliver Kost , Jindrch Dunik , Ondrej Straka

Spatially-varying intensity noise is a common source of distortion in medical images. Bias field noise is one example of such a distortion that is often present in the magnetic resonance (MR) images or other modalities such as retina…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Reza Abbasi-Asl , Aboozar Ghaffari , Emad Fatemizadeh

Knowledge of the noise distribution in magnitude diffusion MRI images is the centerpiece to quantify uncertainties arising from the acquisition process. The use of parallel imaging methods, the number of receiver coils and imaging filters…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Samuel St-Jean , Alberto De Luca , Max A. Viergever , Alexander Leemans

We propose a simple method for estimating noise level from a single color image. In most image-denoising algorithms, an accurate noise-level estimate results in good denoising performance; however, it is difficult to estimate noise level…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Akihiro Nakamura , Michihiro Kobayashi

We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe general ideas and support them with results of…

Data Analysis, Statistics and Probability · Physics 2015-05-28 D. Grech , J. Miskiewicz

The subspace-based techniques are widely utilized in various scientific fields, and they need accurate estimation of the signal subspace dimension. The classic RMT estimator for model order estimation based on random matrix theory assumes…

Information Theory · Computer Science 2025-05-06 Huiyue Yi , Wuxiong Zhang , Hui Xu

In this paper three different scenarios in wide band spectrum sensing have been studied. While the signal and noise statistics are supposed to be unspecified, random matrixes have been utilized in order to estimate the noise variance. These…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Sajjad Imani , Amin Banitalebi-Dehkordi , Mehdi Cheraghi

We propose a radical advance in Magnetic Resonance Imaging. MRI remains slow because it requires successive applications of magnetic field gradients to encode for spatial location. Parallel MRI accelerates imaging by permitting…

Medical Physics · Physics 2018-09-19 Michael Hutchinson , Ulrich Raff , Luis Osorio

Noise pollution investigation takes advantage of two common methods of diagnosis: measurement using a Sound Level Meter and acoustical imaging. The former enables a detailed analysis of the surrounding noise spectrum whereas the latter is…

Instrumentation and Detectors · Physics 2016-03-28 Charles Vanwynsberghe , Régis Marchiano , François Ollivier , Pascal Challande , Hélène Moingeon , Jacques Marchal

We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed imaging technique of Magnetic Resonance Advection Imaging…

Numerical Analysis · Mathematics 2020-01-13 Simon Hubmer , Andreas Neubauer , Ronny Ramlau , Henning U. Voss

In the field of medical image analysis, deep learning models have demonstrated remarkable success in enhancing diagnostic accuracy and efficiency. However, the reliability of these models is heavily dependent on the quality of training…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Maolin Li , Giacomo Tarroni

In this paper, a sparse-based method for the estimation of the parameters of multidimensional ($R$-D) modal (harmonic or damped) complex signals in noise is presented. The problem is formulated as $R$ simultaneous sparse approximations of…

Information Theory · Computer Science 2015-11-02 Souleymen Sahnoun , El-Hadi Djermoune , David Brie , Pierre Comon
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