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Fractal frontiers in cardiovascular magnetic resonance: towards clinical implementation

Captur, G; Karperien, AL; Li, C; Zemrak, F; Tobon-Gomez, C; Gao, X; Bluemke, DA; ... Moon, JC; + view all (2015) Fractal frontiers in cardiovascular magnetic resonance: towards clinical implementation. Journal of Cardiovascular Magnetic Resonance , 17 , Article 80. 10.1186/s12968-015-0179-0. Green open access

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Abstract

Many of the structures and parameters that are detected, measured and reported in cardiovascular magnetic resonance (CMR) have at least some properties that are fractal, meaning complex and self-similar at different scales. To date however, there has been little use of fractal geometry in CMR; by comparison, many more applications of fractal analysis have been published in MR imaging of the brain. This review explains the fundamental principles of fractal geometry, places the fractal dimension into a meaningful context within the realms of Euclidean and topological space, and defines its role in digital image processing. It summarises the basic mathematics, highlights strengths and potential limitations of its application to biomedical imaging, shows key current examples and suggests a simple route for its successful clinical implementation by the CMR community. By simplifying some of the more abstract concepts of deterministic fractals, this review invites CMR scientists (clinicians, technologists, physicists) to experiment with fractal analysis as a means of developing the next generation of intelligent quantitative cardiac imaging tools.

Type: Article
Title: Fractal frontiers in cardiovascular magnetic resonance: towards clinical implementation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1186/s12968-015-0179-0
Publisher version: http://doi.org/10.1186/s12968-015-0179-0
Language: English
Additional information: © Captur et al. 2015. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
Keywords: Science & Technology, Life Sciences & Biomedicine, Cardiac & Cardiovascular Systems, Radiology, Nuclear Medicine & Medical Imaging, Cardiovascular System & Cardiology, Cardiovascular magnetic resonance, Segmentation, Image processing, HYPERTROPHIC CARDIOMYOPATHY, DIMENSION ANALYSIS, IMAGE, MRI, LACUNARITY, SCHIZOPHRENIA, ORGANIZATION, TRABECULAE
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Pop Health Sciences > Institute of Cardiovascular Science
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Pop Health Sciences > Institute of Cardiovascular Science > Clinical Science
URI: http://discovery.ucl.ac.uk/id/eprint/1477745
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