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This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without…

Physics and Society · Physics 2008-08-07 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

A complex network approach is proposed to study the shear behavior of a rough rock joint. Similarities between aperture profiles are established and a general network in two directions (in parallel and perpendicular to the shear direction)…

Geophysics · Physics 2014-01-03 H. O. Ghaffari , M. Sharifzadeh , E. Evgin

Network science provides a universal framework for modeling complex systems, contrasting the reductionist approach generally adopted in physics. In a prototypical study, we utilize network models created from spectroscopic data of atoms to…

We introduce recursive corona graphs as a model of small-world networks. We investigate analytically the critical characteristics of the model, including order and size, degree distribution, average path length, clustering coefficient, and…

Discrete Mathematics · Computer Science 2016-01-27 Qian Lv , Yuhao Yi , Zhongzhi Zhang

Analytical approaches to model the structure of complex networks can be distinguished into two groups according to whether they consider an intensive (e.g., fixed degree sequence and random otherwise) or an extensive (e.g., adjacency…

Physics and Society · Physics 2019-02-13 Antoine Allard , Laurent Hébert-Dufresne

In most medical image processing tasks, the orientation of an image would affect computing result. However, manually reorienting images wastes time and effort. In this paper, we study the problem of recognizing orientation in cardiac MRI…

Image and Video Processing · Electrical Eng. & Systems 2022-11-16 Houxin Zhou

The three-dimensional vascular model reconstructed from CT images is widely used in medical diagnosis. At different phases, the beating of the heart can cause deformation of vessels, resulting in different vascular imaging states and false…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Daosong Hu , Ruomeng Wang , Liang Zhao , Mingyue Cui , Song Ding , Kai Huang

Coronary angiography is the main tool for assessing coronary artery disease, but visual grading of stenosis is variable and only moderately related to ischaemia. Wire based fractional flow reserve (FFR) improves lesion selection but is not…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Georgy Kopanitsa , Oleg Metsker , Alexey Yakovlev

This study is to demonstrate deep learning for automated artery-vein (AV) classification in optical coherence tomography angiography (OCTA). The AV-Net, a fully convolutional network (FCN) based on modified U-shaped CNN architecture,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Minhaj Alam , David Le , Taeyoon Son , Jennifer I. Lim , Xincheng Yao

The development of modern information technologies permits to collect and to analyze huge amounts of statistical data in different spheres of life. The main problem is not to only to collect but to process all relevant information. The…

Information Retrieval · Computer Science 2010-07-08 O. Mryglod , Yu. Holovatch

Recent publications have shown that the segmentation accuracy of modern-day convolutional neural networks (CNN) applied on cardiac MRI can reach the inter-expert variability, a great achievement in this area of research. However, despite…

Image and Video Processing · Electrical Eng. & Systems 2020-06-17 Nathan Painchaud , Youssef Skandarani , Thierry Judge , Olivier Bernard , Alain Lalande , Pierre-Marc Jodoin

Myocardial motion tracking is important for assessing cardiac function and diagnosing cardiovascular diseases, for which cine cardiac magnetic resonance (CMR) has been established as the gold standard imaging modality. Many existing methods…

Image and Video Processing · Electrical Eng. & Systems 2025-07-24 Jiahui Yin , Xinxing Cheng , Jinming Duan , Yan Pang , Declan O'Regan , Hadrien Reynaud , Qingjie Meng

The accurate segmentation of Coronary Computed Tomography Angiography (CCTA) images holds substantial clinical value for the early detection and treatment of Coronary Heart Disease (CHD). The Transformer, utilizing a self-attention…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Chenchu Xu , Meng Li , Xue Wu

One important question in neuroscience is how global behavior in a brain network emerges from the interplay between network connectivity and the neural dynamics of individual nodes. To better understand this theoretical relationship, we…

Neurons and Cognition · Quantitative Biology 2022-09-13 Anca Radulescu , Johan Nakuci , Simone Evans , Sarah Muldoon

Enhancing the precision of segmenting coronary atherosclerotic plaques from CT Angiography (CTA) images is pivotal for advanced Coronary Atherosclerosis Analysis (CAA), which distinctively relies on the analysis of vessel cross-section…

Image and Video Processing · Electrical Eng. & Systems 2025-01-15 Ziheng Zhang , Zihan Li , Dandan Shan , Yuehui Qiu , Qingqi Hong , Qingqiang Wu

X-ray coronary angiography (XCA) is the clinical reference standard for assessing coronary artery disease, yet quantitative analysis is limited by the difficulty of robust vessel segmentation in routine data. Low contrast, motion,…

Built upon the shoulders of graph theory, the field of complex networks has become a central tool for studying real systems across various fields of research. Represented as graphs, different systems can be studied using the same analysis…

Physics and Society · Physics 2024-05-30 Gorka Zamora-López , Matthieu Gilson

Pathological alterations in the human vascular system underlie many chronic diseases, such as atherosclerosis and aneurysms. However, manually analyzing diagnostic images of the vascular system, such as computed tomographic angiograms…

Image and Video Processing · Electrical Eng. & Systems 2023-11-29 Alireza Bagheri Rajeoni , Breanna Pederson , Ali Firooz , Hamed Abdollahi , Andrew K. Smith , Daniel G. Clair , Susan M. Lessner , Homayoun Valafar

Automatic evaluation of myocardium and pathology plays an important role in the quantitative analysis of patients suffering from myocardial infarction. In this paper, we present a cascaded convolutional neural network framework for…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Jun Ma

Shape graphs are complex geometrical structures commonly found in biological and anatomical systems. A shape graph is a collection of nodes, some connected by curvilinear edges with arbitrary shapes. Their high complexity stems from the…

Computation · Statistics 2024-09-17 Benjamin Beaudett , Anuj Srivastava