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Designing 2D Vector Fields of Arbitrary Topology
Author(s) -
Theisel H.
Publication year - 2002
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 - 10.1111/1467-8659.t01-1-00710
Subject(s) - topology (electrical circuits) , extension topology , vector field , weak topology (polar topology) , initial topology , mathematics , digital topology , computer science , simple (philosophy) , general topology , topological space , pure mathematics , geometry , combinatorics , philosophy , epistemology
We introduce a scheme of control polygons to design topological skeletons for vector fields of arbitrary topology. Based on this we construct piecewise linear vector fields of exactly the topology specified by the control polygons. This way a controlled construction of vector fields of any topology is possible. Finally we apply this method for topology‐preserving compression of vector fields consisting of a simple topology.