Visualization of equivalence in 2D bivariate fields

In this paper, we show how the equivalence property leads to the novel concept of equivalent regions in mappings from ℝn to ℝn. We present a technique for obtaining these regions both in the domain and the codomain of such a mapping, and determine their correspondence. This enables effective investi...

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Bibliographic Details
Main Authors: Zheng, Boyan (Author) , Rieck, Bastian (Author) , Leitte, Heike (Author) , Sadlo, Filip (Author)
Format: Article (Journal)
Language:English
Published: 10 July 2019
In: Computer graphics forum
Year: 2019, Volume: 38, Issue: 3, Pages: 311-323
ISSN:1467-8659
DOI:10.1111/cgf.13691
Online Access:Verlag, Volltext: https://doi.org/10.1111/cgf.13691
Verlag: https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13691
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Author Notes:Boyan Zheng, Bastian Rieck, Heike Leitte, Filip Sadlo
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Summary:In this paper, we show how the equivalence property leads to the novel concept of equivalent regions in mappings from ℝn to ℝn. We present a technique for obtaining these regions both in the domain and the codomain of such a mapping, and determine their correspondence. This enables effective investigation of variation equivalence within mappings, and between mappings in terms of comparative visualization. We implement our approach for n = 2, and demonstrate its utility using different examples.
Item Description:Gesehen am 11.11.2019
Physical Description:Online Resource
ISSN:1467-8659
DOI:10.1111/cgf.13691