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A Survey of Topology‐based Methods in Visualization
Author(s) -
Heine C.,
Leitte H.,
Hlawitschka M.,
Iuricich F.,
De Floriani L.,
Scheuermann G.,
Hagen H.,
Garth C.
Publication year - 2016
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.12933
Subject(s) - terminology , visualization , computer science , field (mathematics) , process (computing) , topology (electrical circuits) , topological data analysis , data science , computation , state (computer science) , theoretical computer science , data mining , algorithm , mathematics , programming language , combinatorics , philosophy , linguistics , pure mathematics
This paper presents the state of the art in the area of topology‐based visualization. It describes the process and results of an extensive annotation for generating a definition and terminology for the field. The terminology enabled a typology for topological models which is used to organize research results and the state of the art. Our report discusses relations among topological models and for each model describes research results for the computation, simplification, visualization, and application. The paper identifies themes common to subfields, current frontiers, and unexplored territory in this research area.