Visualization of Equivalence in 2D Bivariate Fields. (10th July 2019)

• Record Type: Journal Article
• Authors: Zheng, Boyan; Rieck, Bastian; Leitte, Heike; Sadlo, Filip
• Is Part Of: Computer graphics forum. Volume 38:Number 3(2019)
• Page Start: 311
• Page End: 323
• Publication Date: 2019-07-10
• Subjects: CCS Concepts -- Human‐centered computing → Visualization techniques -- Applied computing → Mathematics and statistics; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13691
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: In this paper, we show how the equivalence property leads to the novel concept of equivalent regions in mappings from ℝ n to ℝ n . 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.