Task-based Augmented Reeb Graphs with Dynamic ST-Trees
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
This paper presents, to the best of our knowledge, the first parallel algorithm for the computation of the augmented Reeb graph of piecewise linear scalar data. Such augmented Reeb graphs have a wide range of applications, including contour seeding and feature based segmentation. Our approach targets shared-memory multi-core workstations. For this, it completely revisits the optimal, but sequential, Reeb graph algorithm, which is capable of handing data in arbitrary dimension and with optimal time complexity. We take advantage of Fibonacci heaps to exploit the ST-Tree data structure through independent local propagations, while maintaining the optimal, linearithmic time complexity of the sequential reference algorithm. These independent propagations can be expressed using OpenMP tasks, hence benefiting in parallel from the dynamic load balancing of the task runtime while enabling us to increase the parallelism degree thanks to a dual sweep. We present performance results on triangulated surfaces and tetrahedral meshes. We provide comparisons to related work and show that our new algorithm results in superior time performance in practice, both in sequential and in parallel. An open-source C++ implementation is provided for reproducibility.
Description
@inproceedings{10.2312:pgv.20191107,
booktitle = {Eurographics Symposium on Parallel Graphics and Visualization},
editor = {Childs, Hank and Frey, Steffen},
title = {{Task-based Augmented Reeb Graphs with Dynamic ST-Trees}},
author = {Gueunet, Charles and Fortin, Pierre and Jomier, Julien and Tierny, Julien},
year = {2019},
publisher = {The Eurographics Association},
ISSN = {1727-348X},
ISBN = {978-3-03868-079-6},
DOI = {10.2312/pgv.20191107}
}