@conference {939,
	title = {Topological Subdivision Graphs for Comparative and Multifield Visualization},
	booktitle = {Topological Methods in Data Analysis and Visualization V},
	year = {2020},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {We propose that a topological model of a real-valued function can be employed to define a spatial subdivision of the function{\textquoteright}s domain. When multiple topologically-induced subdivisions for the same or different functions on the same domain are combined, a finer spatial subdivision arises: the topological subdivision complex. The topological subdivision graph then gives adjacency relations among the d-cells of the subdivision complex and can be used to describe similarities among topological models. We apply this idea to give new topological models for multiple real-valued functions (multifields), extending contour trees and Morse-Smale complexes to these problem settings, and we illustrate our idea for piecewise-linear functions. We also discuss how our work relates to joint contour nets.},
	isbn = {978-3-030-43036-8},
	author = {Heine, Christian and Garth, Christoph},
	editor = {Carr, Hamish and Fujishiro, Issei and Sadlo, Filip and Takahashi, Shigeo}
}
@article {830,
	title = {A Survey of Topology-based Methods in Visualization},
	journal = {Computer Graphics Forum},
	volume = {35},
	year = {2016},
	month = {06/2016},
	chapter = {643-667},
	doi = {10.1111/cgf.12933},
	author = {Heine, Christian and Leitte, Heike and Hlawitschka, Mario and Iuricich, Federico and De Floriani, Leila and Scheuermann, Gerik and Hagen, Hans and Garth, Christoph}
}
