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Faster Edge‐Path Bundling through Graph Spanners

Markus Wallinger, Daniel Archambault Orcid Logo, David Auber, Martin Nöllenburg, Jaakko Peltonen

Computer Graphics Forum

Swansea University Author: Daniel Archambault Orcid Logo

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DOI (Published version): 10.1111/cgf.14789

Abstract

Edge-Path bundling is a recent edge bundling approach that does not incur ambiguities caused by bundling disconnected edges together. Although the approach produces less ambiguous bundlings, it suffers from high computational cost. In this paper, we present a new Edge-Path bundling approach that inc...

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Published in: Computer Graphics Forum
ISSN: 0167-7055 1467-8659
Published: Wiley
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa62893
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Abstract: Edge-Path bundling is a recent edge bundling approach that does not incur ambiguities caused by bundling disconnected edges together. Although the approach produces less ambiguous bundlings, it suffers from high computational cost. In this paper, we present a new Edge-Path bundling approach that increases the computational speed of the algorithm without reducing the quality of the bundling. First, we demonstrate that biconnected components can be processed separately in an Edge-Path bundling of a graph without changing the result. Then, we present a new edge bundling algorithm that is based on observing and exploiting a strong relationship between Edge-Path bundling and graph spanners. Although the worst case complexity of the approach is the same as of the original Edge-Path bundling algorithm, we conduct experiments to demonstrate that the new approach is 5–256 times faster than Edge-Path bundling depending on the dataset, which brings its practical running time more in line with traditional edge bundling algorithms.
Keywords: Computational geometry, information visualization, visualization
College: Faculty of Science and Engineering