Graph Bundling by Kernel Density Estimation

We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Computer graphics forum 2012-06, Vol.31 (3pt1), p.865-874
Hauptverfasser: Hurter, C., Ersoy, O., Telea, A.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 874
container_issue 3pt1
container_start_page 865
container_title Computer graphics forum
container_volume 31
creator Hurter, C.
Ersoy, O.
Telea, A.
description We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implemented using standard graphics acceleration techniques and produces graph bundlings of similar appearance and quality to state‐of‐the‐art methods at a fraction of the cost. Additionally, we show how to create bundled layouts constrained by obstacles and use shading to convey information on the bundling quality. We demonstrate our method on several large graphs.
doi_str_mv 10.1111/j.1467-8659.2012.03079.x
format Article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_01022472v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2695370761</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4639-4015fc8793d54960215c88973262cf2a6aad8896ba850203d32a20aac1930d3a3</originalsourceid><addsrcrecordid>eNqNkEFPwyAUx4nRxDn9Dk08GdP6gALl4EHn1hkX9TDj8QXbTjtrO6HT7dtLrdlZLjzg_3uP_AgJKETUr4tlRGOpwkQKHTGgLAIOSkebPTLYPeyTAVBfKxDikBw5twSAWEkxIOepNau34Hpd51VZvwYv2-CusHVRBTdF7cp2G4xdW36YtmzqY3KwMJUrTv72IXmajOejaTh7SG9HV7MwiyXXYQxULLJEaZ6LWEtgVGRJohVnkmULZqQxuT_LF5MIYMBzzgwDYzKqOeTc8CE56_u-mQpX1k-3W2xMidOrGXZ3QIGxWLEv6rOnfXZlm8914VpcNmtb---hD1GdCD_Ep5I-ldnGOVssdm0pYKcRl9jZws4WdhrxVyNuPHrZo99lVWz_zeEonXSV58OeL11bbHa8se8oFVcCn-9ThOc56On8ETX_AUpHg7g</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1021985850</pqid></control><display><type>article</type><title>Graph Bundling by Kernel Density Estimation</title><source>Wiley Online Library</source><source>EBSCOhost Business Source Complete</source><creator>Hurter, C. ; Ersoy, O. ; Telea, A.</creator><creatorcontrib>Hurter, C. ; Ersoy, O. ; Telea, A.</creatorcontrib><description>We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implemented using standard graphics acceleration techniques and produces graph bundlings of similar appearance and quality to state‐of‐the‐art methods at a fraction of the cost. Additionally, we show how to create bundled layouts constrained by obstacles and use shading to convey information on the bundling quality. We demonstrate our method on several large graphs.</description><identifier>ISSN: 0167-7055</identifier><identifier>EISSN: 1467-8659</identifier><identifier>DOI: 10.1111/j.1467-8659.2012.03079.x</identifier><language>eng</language><publisher>Oxford, UK: Blackwell Publishing Ltd</publisher><subject>Analysis ; Computer graphics ; Computer Science ; edge bundles ; Graph layouts ; Graph theory ; Human-Computer Interaction ; I.3.3 [Computer Graphics]: Picture/Image Generation-Line and curve generation ; image-based information visualization ; Studies</subject><ispartof>Computer graphics forum, 2012-06, Vol.31 (3pt1), p.865-874</ispartof><rights>2012 The Author(s) Computer Graphics Forum © 2012 The Eurographics Association and Blackwell Publishing Ltd.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4639-4015fc8793d54960215c88973262cf2a6aad8896ba850203d32a20aac1930d3a3</citedby><cites>FETCH-LOGICAL-c4639-4015fc8793d54960215c88973262cf2a6aad8896ba850203d32a20aac1930d3a3</cites><orcidid>0000-0003-4318-6717</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1111%2Fj.1467-8659.2012.03079.x$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1111%2Fj.1467-8659.2012.03079.x$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,309,310,314,776,780,785,786,881,1411,23909,23910,25118,27901,27902,45550,45551</link.rule.ids><backlink>$$Uhttps://enac.hal.science/hal-01022472$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Hurter, C.</creatorcontrib><creatorcontrib>Ersoy, O.</creatorcontrib><creatorcontrib>Telea, A.</creatorcontrib><title>Graph Bundling by Kernel Density Estimation</title><title>Computer graphics forum</title><description>We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implemented using standard graphics acceleration techniques and produces graph bundlings of similar appearance and quality to state‐of‐the‐art methods at a fraction of the cost. Additionally, we show how to create bundled layouts constrained by obstacles and use shading to convey information on the bundling quality. We demonstrate our method on several large graphs.</description><subject>Analysis</subject><subject>Computer graphics</subject><subject>Computer Science</subject><subject>edge bundles</subject><subject>Graph layouts</subject><subject>Graph theory</subject><subject>Human-Computer Interaction</subject><subject>I.3.3 [Computer Graphics]: Picture/Image Generation-Line and curve generation</subject><subject>image-based information visualization</subject><subject>Studies</subject><issn>0167-7055</issn><issn>1467-8659</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqNkEFPwyAUx4nRxDn9Dk08GdP6gALl4EHn1hkX9TDj8QXbTjtrO6HT7dtLrdlZLjzg_3uP_AgJKETUr4tlRGOpwkQKHTGgLAIOSkebPTLYPeyTAVBfKxDikBw5twSAWEkxIOepNau34Hpd51VZvwYv2-CusHVRBTdF7cp2G4xdW36YtmzqY3KwMJUrTv72IXmajOejaTh7SG9HV7MwiyXXYQxULLJEaZ6LWEtgVGRJohVnkmULZqQxuT_LF5MIYMBzzgwDYzKqOeTc8CE56_u-mQpX1k-3W2xMidOrGXZ3QIGxWLEv6rOnfXZlm8914VpcNmtb---hD1GdCD_Ep5I-ldnGOVssdm0pYKcRl9jZws4WdhrxVyNuPHrZo99lVWz_zeEonXSV58OeL11bbHa8se8oFVcCn-9ThOc56On8ETX_AUpHg7g</recordid><startdate>201206</startdate><enddate>201206</enddate><creator>Hurter, C.</creator><creator>Ersoy, O.</creator><creator>Telea, A.</creator><general>Blackwell Publishing Ltd</general><general>Wiley</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-4318-6717</orcidid></search><sort><creationdate>201206</creationdate><title>Graph Bundling by Kernel Density Estimation</title><author>Hurter, C. ; Ersoy, O. ; Telea, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4639-4015fc8793d54960215c88973262cf2a6aad8896ba850203d32a20aac1930d3a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Analysis</topic><topic>Computer graphics</topic><topic>Computer Science</topic><topic>edge bundles</topic><topic>Graph layouts</topic><topic>Graph theory</topic><topic>Human-Computer Interaction</topic><topic>I.3.3 [Computer Graphics]: Picture/Image Generation-Line and curve generation</topic><topic>image-based information visualization</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hurter, C.</creatorcontrib><creatorcontrib>Ersoy, O.</creatorcontrib><creatorcontrib>Telea, A.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Computer graphics forum</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hurter, C.</au><au>Ersoy, O.</au><au>Telea, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Graph Bundling by Kernel Density Estimation</atitle><jtitle>Computer graphics forum</jtitle><date>2012-06</date><risdate>2012</risdate><volume>31</volume><issue>3pt1</issue><spage>865</spage><epage>874</epage><pages>865-874</pages><issn>0167-7055</issn><eissn>1467-8659</eissn><abstract>We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implemented using standard graphics acceleration techniques and produces graph bundlings of similar appearance and quality to state‐of‐the‐art methods at a fraction of the cost. Additionally, we show how to create bundled layouts constrained by obstacles and use shading to convey information on the bundling quality. We demonstrate our method on several large graphs.</abstract><cop>Oxford, UK</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1111/j.1467-8659.2012.03079.x</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0003-4318-6717</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0167-7055
ispartof Computer graphics forum, 2012-06, Vol.31 (3pt1), p.865-874
issn 0167-7055
1467-8659
language eng
recordid cdi_hal_primary_oai_HAL_hal_01022472v1
source Wiley Online Library; EBSCOhost Business Source Complete
subjects Analysis
Computer graphics
Computer Science
edge bundles
Graph layouts
Graph theory
Human-Computer Interaction
I.3.3 [Computer Graphics]: Picture/Image Generation-Line and curve generation
image-based information visualization
Studies
title Graph Bundling by Kernel Density Estimation
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-11T19%3A00%3A12IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Graph%20Bundling%20by%20Kernel%20Density%20Estimation&rft.jtitle=Computer%20graphics%20forum&rft.au=Hurter,%20C.&rft.date=2012-06&rft.volume=31&rft.issue=3pt1&rft.spage=865&rft.epage=874&rft.pages=865-874&rft.issn=0167-7055&rft.eissn=1467-8659&rft_id=info:doi/10.1111/j.1467-8659.2012.03079.x&rft_dat=%3Cproquest_hal_p%3E2695370761%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1021985850&rft_id=info:pmid/&rfr_iscdi=true