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Fuzzy Contour Trees: Alignment and Joint Layout of Multiple Contour Trees
Author(s) -
Lohfink AnnaPia,
Wetzels Florian,
Lukasczyk Jonas,
Weber Gunther H.,
Garth Christoph
Publication year - 2020
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/cgf.13985
Subject(s) - computer science , visualization , contour line , leverage (statistics) , artificial intelligence , metric (unit) , tree (set theory) , pattern recognition (psychology) , algorithm , mathematics , combinatorics , operations management , physics , meteorology , economics
We describe a novel technique for the simultaneous visualization of multiple scalar fields, e.g. representing the members of an ensemble, based on their contour trees. Using tree alignments, a graph‐theoretic concept similar to edit distance mappings, we identify commonalities across multiple contour trees and leverage these to obtain a layout that can represent all trees simultaneously in an easy‐to‐interpret, minimally‐cluttered manner. We describe a heuristic algorithm to compute tree alignments for a given similarity metric, and give an algorithm to compute a joint layout of the resulting aligned contour trees. We apply our approach to the visualization of scalar field ensembles, discuss basic visualization and interaction possibilities, and demonstrate results on several analytic and real‐world examples.