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Topological Visualisation Techniques for Volume Multifield Data

Dean Thomas, Rita Borgo Orcid Logo, Bob Laramee Orcid Logo, Simon Hands

Computer Graphics and Imaging

Swansea University Authors: Dean Thomas, Rita Borgo Orcid Logo, Bob Laramee Orcid Logo, Simon Hands

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DOI (Published version): 10.5772/intechopen.82185

Abstract

This survey paper provides an overview of topological visualisation techniques for scalar data sets. Topological algorithms are used to reduce scalar fields to a skeleton by mapping critical changes in the topology to the vertices of graph structures. These can be visualised using graph drawing tech...

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Published in: Computer Graphics and Imaging
ISBN: 978-1-83962-282-3 978-1-83962-283-0
Published: IntechOpen 2018
URI: https://cronfa.swan.ac.uk/Record/cronfa52576
first_indexed 2019-10-25T13:03:56Z
last_indexed 2023-01-11T14:29:46Z
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recordtype SURis
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spelling 2022-12-05T13:37:57.8737951 v2 52576 2019-10-25 Topological Visualisation Techniques for Volume Multifield Data 7d6167abe295871f91c6550c5988bad2 Dean Thomas Dean Thomas true false c4675d4072e4b2b3921ae57666f1d9ff 0000-0003-2875-6793 Rita Borgo Rita Borgo true false 7737f06e2186278a925f6119c48db8b1 0000-0002-3874-6145 Bob Laramee Bob Laramee true false b34293f7370adc1d2cac9b93717a61c7 Simon Hands Simon Hands true false 2019-10-25 This survey paper provides an overview of topological visualisation techniques for scalar data sets. Topological algorithms are used to reduce scalar fields to a skeleton by mapping critical changes in the topology to the vertices of graph structures. These can be visualised using graph drawing techniques or used as a method of seeding meshes of distinct objects existing in the data. Many techniques are discussed in detail, beginning with a review of algorithms working on scalar fields defined with a single variable, and then generalised to multivariate and temporal data. The survey is completed with a discussion of methods of presenting data in higher dimensions. Book chapter Computer Graphics and Imaging IntechOpen 978-1-83962-282-3 978-1-83962-283-0 13 12 2018 2018-12-13 10.5772/intechopen.82185 COLLEGE NANME COLLEGE CODE Swansea University 2022-12-05T13:37:57.8737951 2019-10-25T11:55:19.8142071 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Dean Thomas 1 Rita Borgo 0000-0003-2875-6793 2 Bob Laramee 0000-0002-3874-6145 3 Simon Hands 4 52576__15720__675fe7540b384c1b95c7c7d1751bedc5.pdf 64645.pdf 2019-10-25T12:01:00.9774147 Output 1873392 application/pdf Version of Record true © 2018 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License true eng http://creativecommons.org/licenses/by/3.0
title Topological Visualisation Techniques for Volume Multifield Data
spellingShingle Topological Visualisation Techniques for Volume Multifield Data
Dean Thomas
Rita Borgo
Bob Laramee
Simon Hands
title_short Topological Visualisation Techniques for Volume Multifield Data
title_full Topological Visualisation Techniques for Volume Multifield Data
title_fullStr Topological Visualisation Techniques for Volume Multifield Data
title_full_unstemmed Topological Visualisation Techniques for Volume Multifield Data
title_sort Topological Visualisation Techniques for Volume Multifield Data
author_id_str_mv 7d6167abe295871f91c6550c5988bad2
c4675d4072e4b2b3921ae57666f1d9ff
7737f06e2186278a925f6119c48db8b1
b34293f7370adc1d2cac9b93717a61c7
author_id_fullname_str_mv 7d6167abe295871f91c6550c5988bad2_***_Dean Thomas
c4675d4072e4b2b3921ae57666f1d9ff_***_Rita Borgo
7737f06e2186278a925f6119c48db8b1_***_Bob Laramee
b34293f7370adc1d2cac9b93717a61c7_***_Simon Hands
author Dean Thomas
Rita Borgo
Bob Laramee
Simon Hands
author2 Dean Thomas
Rita Borgo
Bob Laramee
Simon Hands
format Book chapter
container_title Computer Graphics and Imaging
publishDate 2018
institution Swansea University
isbn 978-1-83962-282-3
978-1-83962-283-0
doi_str_mv 10.5772/intechopen.82185
publisher IntechOpen
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
document_store_str 1
active_str 0
description This survey paper provides an overview of topological visualisation techniques for scalar data sets. Topological algorithms are used to reduce scalar fields to a skeleton by mapping critical changes in the topology to the vertices of graph structures. These can be visualised using graph drawing techniques or used as a method of seeding meshes of distinct objects existing in the data. Many techniques are discussed in detail, beginning with a review of algorithms working on scalar fields defined with a single variable, and then generalised to multivariate and temporal data. The survey is completed with a discussion of methods of presenting data in higher dimensions.
published_date 2018-12-13T04:44:00Z
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score 11.089386

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