An Efficient Data Retrieval Parallel Reeb Graph Algorithm

The Reeb graph of a scalar function that is defined on a domain gives a topologically meaningful summary of that domain. Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer graphics, and computational topology. The demand for a...

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Vydáno v:Algorithms Ročník 13; číslo 10; s. 258
Hlavní autoři: Hajij, Mustafa, Rosen, Paul
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.10.2020
Témata:
Algorithms
Computer graphics
Data analysis
Data retrieval
Demand analysis
Domains
Image processing
Image segmentation
Information retrieval
Mathematical functions
parallel algorithms
Parallel processing
reeb graph
topological data analysis
Topology
Visualization
ISSN:1999-4893, 1999-4893
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Popis
Shrnutí:The Reeb graph of a scalar function that is defined on a domain gives a topologically meaningful summary of that domain. Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer graphics, and computational topology. The demand for analyzing large data sets has increased in the last decade. Hence, the parallelization of topological computations needs to be more fully considered. We propose a parallel augmented Reeb graph algorithm on triangulated meshes with and without a boundary. That is, in addition to our parallel algorithm for computing a Reeb graph, we describe a method for extracting the original manifold data from the Reeb graph structure. We demonstrate the running time of our algorithm on standard datasets. As an application, we show how our algorithm can be utilized in mesh segmentation algorithms.
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ISSN:1999-4893
1999-4893
DOI:10.3390/a13100258