Zheng, BoyanRieck, BastianLeitte, HeikeSadlo, FilipGleicher, Michael and Viola, Ivan and Leitte, Heike2019-06-022019-06-0220191467-8659https://doi.org/10.1111/cgf.13691https://diglib.eg.org:443/handle/10.1111/cgf13691In 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.Humancentered computing → Visualization techniquesApplied computing → Mathematics and statistics10.1111/cgf.13691311-323