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The total variation (TV) flow generates a scale-space representation of an image based on the TV functional. This gradient flow observes desirable features for images, such as sharp edges and enables spectral, scale, and texture analysis.…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Tamara G. Grossmann , Sören Dittmer , Yury Korolev , Carola-Bibiane Schönlieb

The goal of emotional brain state classification on functional MRI (fMRI) data is to recognize brain activity patterns related to specific emotion tasks performed by subjects during an experiment. Distinguishing emotional brain states from…

Image and Video Processing · Electrical Eng. & Systems 2022-11-01 Maxime Tchibozo , Donggeun Kim , Zijing Wang , Xiaofu He

Interactions between the brain and body are of fundamental importance for human behavior and health. Functional magnetic resonance imaging (fMRI) captures whole-brain activity noninvasively, and modeling how fMRI signals interact with…

Functional brain imaging allows measuring dynamic functionality in all brain regions. It is broadly used in clinical cognitive neuroscience as, well as in research. It will allow the observation of neural activities in the brain…

Medical Physics · Physics 2016-04-01 Saman Sarraf , Jian Sun

Functional Magnetic Resonance Imaging (fMRI) is a neuroimaging technique with pivotal importance due to its scientific and clinical applications. As with any widely used imaging modality, there is a need to ensure the quality of the same,…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 David Calhas , Rui Henriques

Image restoration requires a careful balance between noise suppression and structure preservation. While first-order total variation (TV) regularization effectively preserves edges, it often introduces staircase artifacts, whereas…

Numerical Analysis · Mathematics 2025-11-13 Liang Luo , Lei Zhang

In recent years, research on decoding brain activity based on functional magnetic resonance imaging (fMRI) has made remarkable achievements. However, constraint-free natural image reconstruction from brain activity is still a challenge. The…

Computer Vision and Pattern Recognition · Computer Science 2018-01-17 Chi Zhang , Kai Qiao , Linyuan Wang , Li Tong , Ying Zeng , Bin Yan

Functional magnetic resonance imaging (fMRI) is a crucial technology for gaining insights into cognitive processes in humans. Data amassed from fMRI measurements result in volumetric data sets that vary over time. However, analysing such…

Neurons and Cognition · Quantitative Biology 2020-10-23 Bastian Rieck , Tristan Yates , Christian Bock , Karsten Borgwardt , Guy Wolf , Nicholas Turk-Browne , Smita Krishnaswamy

With the advent of brain imaging techniques and machine learning tools, much effort has been devoted to building computational models to capture the encoding of visual information in the human brain. One of the most challenging brain…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Zarina Rakhimberdina , Quentin Jodelet , Xin Liu , Tsuyoshi Murata

Neural decoding, the process of understanding how brain activity corresponds to different stimuli, has been a primary objective in cognitive sciences. Over the past three decades, advances in functional Magnetic Resonance Imaging (fMRI) and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Yanchen Wang , Adam Turnbull , Tiange Xiang , Yunlong Xu , Sa Zhou , Adnan Masoud , Shekoofeh Azizi , Feng Vankee Lin , Ehsan Adeli

A fundamental challenge in neuroscience is to decode mental states from brain activity. While functional magnetic resonance imaging (fMRI) offers a non-invasive approach to capture brain-wide neural dynamics with high spatial precision,…

Image and Video Processing · Electrical Eng. & Systems 2025-07-31 Yueh-Po Peng , Vincent K. M. Cheung , Li Su

Functional neuroimaging measures how the brain responds to complex stimuli. However, sample sizes are modest, noise is substantial, and stimuli are high dimensional. Hence, direct estimates are inherently imprecise and call for…

Applications · Statistics 2016-02-05 Leila Wehbe , Aaditya Ramdas , Rebecca C. Steorts , Cosma Rohilla Shalizi

Based on transformed $\ell_1$ regularization, transformed total variation (TTV) has robust image recovery that is competitive with other nonconvex total variation (TV) regularizers, such as TV$^p$, $0<p<1$. Inspired by its performance, we…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Elisha Dayag , Kevin Bui , Fredrick Park , Jack Xin

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

Methodology · Statistics 2016-05-06 Sylvain Sardy , Hatef Monajemi

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Hyperspectral analysis has gained popularity over recent years as a way to infer what materials are displayed on a picture whose pixels consist of a mixture of spectral signatures. Computing both signatures and mixture coefficients is known…

Optimization and Control · Mathematics 2017-06-29 Adrien Faivre , Clément Dombry

The total variation (TV) regularization method is an effective method for image deblurring in preserving edges. However, the TV based solutions usually have some staircase effects. In this paper, in order to alleviate the staircase effect,…

Numerical Analysis · Mathematics 2015-05-20 Gang Liu , Ting-Zhu Huang , Jun Liu , Xiao-Guang Lv

Functional magnetic resonance imaging (fMRI) has provided invaluable insight into our understanding of human behavior. However, large inter-individual differences in both brain anatomy and functional localization after anatomical alignment…

Applications · Statistics 2021-11-03 Guoqing Wang , Abhirup Datta , Martin A. Lindquist

Functional MRI (fMRI) is widely used to examine brain functionality by detecting alteration in oxygenated blood flow that arises with brain activity. This work aims to investigate the neurological variation of human brain responses during…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Naveen Kanigiri , Manohar Suggula , Debanjali Bhattacharya , Neelam Sinha

In this paper, we consider a backward problem for a time-space fractional diffusion process. For this problem, we propose to construct the initial data by minimizing data residual error in fourier space domain and variable total variation…

Numerical Analysis · Mathematics 2016-05-24 Junxiong Jia , Jigen Peng , Jinghuai Gao , Yujiao Li
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