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There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

This paper addresses the problem of video object segmentation, where the initial object mask is given in the first frame of an input video. We propose a novel spatio-temporal Markov Random Field (MRF) model defined over pixels to handle…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Linchao Bao , Baoyuan Wu , Wei Liu

Magnetic Resonance Fingerprinting (MRF) is an imaging technique acquiring unique time signals for different tissues. Although the acquisition is highly accelerated, the reconstruction time remains a problem, as the state-of-the-art template…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Elisabeth Hoppe , Florian Thamm , Gregor Körzdörfer , Christopher Syben , Franziska Schirrmacher , Mathias Nittka , Josef Pfeuffer , Heiko Meyer , Andreas Maier

Pathology image analysis is an essential procedure for clinical diagnosis of many diseases. To boost the accuracy and objectivity of detection, nowadays, an increasing number of computer-aided diagnosis (CAD) system is proposed. Among these…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Yixin Li , Chen Li , Xiaoyan Li , Kai Wang , Md Mamunur Rahaman , Changhao Sun , Hao Chen , Xinran Wu , Hong Zhang , Qian Wang

Pairwise Markov Random Fields (MRFs) or undirected graphical models are parsimonious representations of joint probability distributions. Variables correspond to nodes of a graph, with edges between nodes corresponding to conditional…

Statistics Theory · Mathematics 2018-09-18 Eric Janofsky

Statistical modeling of dependent directional data remains relatively underexplored, particularly in high-dimensional spatial settings. Existing approaches for spatial angular data primarily rely on wrapped Gaussian process (WGP) models,…

Methodology · Statistics 2026-03-09 Arnab Hazra

Spatial data collected worldwide at a huge number of locations are frequently used in environmental and climate studies. Spatial modelling for this type of data presents both methodological and computational challenges. In this work we…

Methodology · Statistics 2017-11-16 Fedele Greco , Massimo Ventrucci , Elisa Castelli

Conditional random fields (CRFs) are popular discriminative models for computer vision and have been successfully applied in the domain of image restoration, especially to image denoising. For image deblurring, however, discriminative…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Uwe Schmidt , Jeremy Jancsary , Sebastian Nowozin , Stefan Roth , Carsten Rother

Image prior modeling is the key issue in image recovery, computational imaging, compresses sensing, and other inverse problems. Recent algorithms combining multiple effective priors such as the sparse or low-rank models, have demonstrated…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Bihan Wen , Yanjun Li , Yuqi Li , Yoram Bresler

We propose a method to restore and to segment simultaneously images degraded by a known point spread function (PSF) and additive white noise. For this purpose, we propose a joint Bayesian estimation framework, where a family of…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Hacheme Ayasso , Ali Mohammad-Djafari

In recent years, Neural Radiance Fields (NeRF) has revolutionized three-dimensional (3D) reconstruction with its implicit representation. Building upon NeRF, 3D Gaussian Splatting (3D-GS) has departed from the implicit representation of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Bin Zhang , Bi Zeng , Zexin Peng

Many computer vision problems can be posed as learning a low-dimensional subspace from high dimensional data. The low rank matrix factorization (LRMF) represents a commonly utilized subspace learning strategy. Most of the current LRMF…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Xiangyong Cao , Qian Zhao , Deyu Meng , Yang Chen , Zongben Xu

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

Geometric and dimensional variations in objects are caused by inevitable uncertainties in manufacturing processes and often lead to product quality issues. Failing to model the effect object shape errors, i.e., geometric and dimensional…

Computational Engineering, Finance, and Science · Computer Science 2021-06-17 Manoj Babu , Pasquale Franciosa , Prashanth Shekar , Darek Ceglarek

Magnetic Resonance Fingerprinting (MRF) has emerged as a promising quantitative MR imaging approach. Deep learning methods have been proposed for MRF and demonstrated improved performance over classical compressed sensing algorithms.…

Image and Video Processing · Electrical Eng. & Systems 2022-01-27 Dongdong Chen , Mike E. Davies , Mohammad Golbabaee

Consider a random vector with finite second moments. If its precision matrix is an M-matrix, then all partial correlations are non-negative. If that random vector is additionally Gaussian, the corresponding Markov random field (GMRF) is…

Statistics Theory · Mathematics 2014-04-29 Martin Slawski , Matthias Hein

Denoising diffusion models offer a promising approach to accelerating magnetic resonance imaging (MRI) and producing diagnostic-level images in an unsupervised manner. However, our study demonstrates that even tiny worst-case potential…

Image and Video Processing · Electrical Eng. & Systems 2024-06-26 Tianyu Han , Sven Nebelung , Firas Khader , Jakob Nikolas Kather , Daniel Truhn

Accurately modeling light transport is essential for realistic image synthesis. Photon mapping provides physically grounded estimates of complex global illumination effects such as caustics and specular-diffuse interactions, yet its…

We introduce MRF-DiPh, a novel physics informed denoising diffusion approach for multiparametric tissue mapping from highly accelerated, transient-state quantitative MRI acquisitions like Magnetic Resonance Fingerprinting (MRF). Our method…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Perla Mayo , Carolin M. Pirkl , Alin Achim , Bjoern Menze , Mohammad Golbabaee

Model-Based Iterative Reconstruction (MBIR) is important because direct methods, such as Filtered Back-Projection (FBP) can introduce significant noise and artifacts in sparse-angle tomography, especially for time-evolving samples. Although…

Mathematical Software · Computer Science 2026-03-31 Dinesh Kumar , Jeffrey Donatelli
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