Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In topological data analysis and visualization, topological descriptors such as persistence diagrams, merge trees, contour trees, Reeb graphs, and Morse-Smale complexes play an essential role in capturing the shape of scalar field data. We present a state-of-the-art report on scalar field comparison using topological descriptors. We provide a taxonomy of existing approaches based on visualization tasks associated with three categories of data: single fields, time-varying fields, and ensembles. These tasks include symmetry detection, periodicity detection, key event/feature detection, feature tracking, clustering, and structure statistics. Our main contributions include the formulation of a set of desirable mathematical and computational properties of comparative measures, and the classification of visualization tasks and applications that are enabled by these measures.
Description
@article{10.1111:cgf.14331,
journal = {Computer Graphics Forum},
title = {{Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization}},
author = {Yan, Lin and Masood, Talha Bin and Sridharamurthy, Raghavendra and Rasheed, Farhan and Natarajan, Vijay and Hotz, Ingrid and Wang, Bei},
year = {2021},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.14331}
}