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Theory of Singular Fibers and Reeb Spaces for Visualization Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Notes on the Distributed Computation of Merge Trees on CW-Complexes

Authors : Aaditya G. Landge, Peer-Timo Bremer, Attila Gyulassy, Valerio Pascucci

Published in: Topological Methods in Data Analysis and Visualization IV

Publisher: Springer International Publishing

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Abstract

Merge trees are topological structures that record changes in super-level set topology of a scalar function. They encapsulate a wide range of threshold based features which can be extracted for analysis and visualization. Several distributed and parallel algorithms for computing merge trees have been proposed in the past, but they are restricted to simplicial complexes or regular grids. In this paper, we present an algorithm for the distributed computation of merge trees on CW-complexes. The conditions on the CW-complex required for the computation of the merge tree are discussed alongside a proof of correctness.

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previous chapter Efficient Software for Programmable Visual Analysis Using Morse-Smale Complexes
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Metadata
Title
Notes on the Distributed Computation of Merge Trees on CW-Complexes
Authors
Aaditya G. Landge
Peer-Timo Bremer
Attila Gyulassy
Valerio Pascucci
Copyright Year
2017
Book
Topological Methods in Data Analysis and Visualization IV

Print ISBN: 978-3-319-44682-0

Electronic ISBN: 978-3-319-44684-4

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-44684-4_20

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