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Cardiac MR image segmentation is essential for the morphological and functional analysis of the heart. Inspired by how experienced clinicians assess the cardiac morphology and function across multiple standard views (i.e. long- and…

Image and Video Processing · Electrical Eng. & Systems 2019-12-18 Chen Chen , Carlo Biffi , Giacomo Tarroni , Steffen Petersen , Wenjia Bai , Daniel Rueckert

Accurate and consistent predictions of echocardiography parameters are important for cardiovascular diagnosis and treatment. In particular, segmentations of the left ventricle can be used to derive ventricular volume, ejection fraction (EF)…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Sarina Thomas , Andrew Gilbert , Guy Ben-Yosef

Fractional Brownian motion (fBm) is an experimentally-relevant, non-Markovian Gaussian stochastic process with long-ranged correlations between the increments, parametrised by the so-called Hurst exponent $H$; depending on its value the…

Statistical Mechanics · Physics 2023-10-04 O. Benichou , G. Oshanin

3D echocardiography is an increasingly popular tool for assessing cardiac remodelling in the right ventricle (RV). It allows quantification of the cardiac chambers without any geometric assumptions, which is the main weakness of 2D…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Gabriel Bernardino , Amir Hodzic , Helene Langet , Damien LeGallois , Mathieu De Craene , Miguel Angel González Ballester , Eric Saloux , Bart Bijnens

Segmentation of cardiac structures is one of the fundamental steps to estimate volumetric indices of the heart. This step is still performed semi-automatically in clinical routine, and is thus prone to inter- and intra-observer variability.…

Recent advancements in diffusion probabilistic models (DPMs) have revolutionized image processing, demonstrating significant potential in medical applications. Accurate segmentation of the left ventricle (LV) in echocardiograms is crucial…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Abdur Rahman , Keerthiveena Balraj , Manojkumar Ramteke , Anurag Singh Rathore

Left ventricular (LV) function is an important factor in terms of patient management, outcome, and long-term survival of patients with heart disease. The most recently published clinical guidelines for heart failure recognise that over…

The accurate quantification of left ventricular (LV) deformation/strain shows significant promise for quantitatively assessing cardiac function for use in diagnosis and therapy planning (Jasaityte et al., 2013). However, accurate estimation…

Segmentation of the left ventricle and quantification of various cardiac contractile functions is crucial for the timely diagnosis and treatment of cardiovascular diseases. Traditionally, the two tasks have been tackled independently. Here…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Shusil Dangi , Ziv Yaniv , Cristian A. Linte

Automated segmentation of Cardiac Magnetic Resonance (CMR) plays a pivotal role in efficiently assessing cardiac function, offering rapid clinical evaluations that benefit both healthcare practitioners and patients. While recent research…

Image and Video Processing · Electrical Eng. & Systems 2024-06-14 Abdul Qayyum , Hao Xu , Brian P. Halliday , Cristobal Rodero , Christopher W. Lanyon , Richard D. Wilkinson , Steven Alexander Niederer

Accurate segmentation of cardiac structures can assist doctors to diagnose diseases, and to improve treatment planning, which is highly demanded in the clinical practice. However, the shortage of annotation and the variance of the data…

Image and Video Processing · Electrical Eng. & Systems 2022-08-05 Yao Zhang , Jiawei Yang , Feng Hou , Yang Liu , Yixin Wang , Jiang Tian , Cheng Zhong , Yang Zhang , Zhiqiang He

Despite the success of fractional Brownian motion (fBm) in modeling systems that exhibit anomalous diffusion due to temporal correlations, recent experimental and theoretical studies highlight the necessity for a more comprehensive approach…

Statistical Mechanics · Physics 2024-07-02 Adrian Pacheco-Pozo , Diego Krapf

Segmentation of the heart in cardiac cine MR is clinically used to quantify cardiac function. We propose a fully automatic method for segmentation and disease classification using cardiac cine MR images. A convolutional neural network (CNN)…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Jelmer M. Wolterink , Tim Leiner , Max A. Viergever , Ivana Isgum

Broadly speaking, the objective in cardiac image segmentation is to delineate the outer and inner walls of the heart to segment out either the entire or parts of the organ boundaries. This paper will focus on MR images as they are the most…

Computer Vision and Pattern Recognition · Computer Science 2015-02-17 Tizita Nesibu Shewaye

Fractional Brownian motion (fBm) is a canonical model for long-memory phenomena. In the presence of large amounts of potentially memory-bearing data, the data are often averaged, which can change the structure of the underlying…

Segmentation of cardiac fibrosis and scar are essential for clinical diagnosis and can provide invaluable guidance for the treatment of cardiac diseases. Late Gadolinium enhancement (LGE) cardiovascular magnetic resonance (CMR) has been…

Image and Video Processing · Electrical Eng. & Systems 2021-07-01 Yinzhe Wu , Zeyu Tang , Binghuan Li , David Firmin , Guang Yang

Fractional Brownian motion (fBm) extends classical Brownian motion by introducing dependence between increments, governed by the Hurst parameter $H\in (0,1)$. Unlike traditional Brownian motion, the increments of an fBm are not independent.…

Statistics Theory · Mathematics 2025-06-23 Ali Mohaddes , Francesco Iafrate , Johannes Lederer

Stochastic integration w.r.t. fractional Brownian motion (fBm) has raised strong interest in recent years, motivated in particular by applications in finance and Internet traffic modelling. Since fBm is not a semi-martingale, stochastic…

Probability · Mathematics 2013-05-03 Joachim Lebovits

The fractional Brownian motion (fBm) is a paradigmatic strongly non-Markovian process with broad applications in various fields. Despite their importance, the properties of the territory covered by a $d$-dimensional fBm have remained…

Statistical Mechanics · Physics 2024-07-17 L. Régnier , M. Dolgushev , O. Bénichou

Accurate segmentation of heart structures imaged by cardiac MR is key for the quantitative analysis of pathology. High-resolution 3D MR sequences enable whole-heart structural imaging but are time-consuming, expensive to acquire and they…

Computer Vision and Pattern Recognition · Computer Science 2019-03-01 Carlo Biffi , Juan J. Cerrolaza , Giacomo Tarroni , Antonio de Marvao , Stuart A. Cook , Declan P. O'Regan , Daniel Rueckert