Visual Analysis of Trajectories in Multi-Dimensional State Spaces
Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuo...
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| Veröffentlicht in: | Computer graphics forum 2014-09, Vol.33 (6), p.310-321 |
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| creator | Grottel, S. Heinrich, J. Weiskopf, D. Gumhold, S. |
| description | Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration. We demonstrate the usefulness of our visualization approach for three case studies that cover examples of complex dynamic systems: cyber‐physical systems consisting of heterogeneous sensors and actuators networks (the collection of time‐dependent sensor network data of an exemplary smart home environment), the dynamics of robot arm movement and motion characteristics of humanoids.
Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration. |
| doi_str_mv | 10.1111/cgf.12352 |
| format | Article |
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Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration.</description><identifier>ISSN: 0167-7055</identifier><identifier>EISSN: 1467-8659</identifier><identifier>DOI: 10.1111/cgf.12352</identifier><language>eng</language><publisher>Oxford: Blackwell Publishing Ltd</publisher><subject>Analysis ; Complex systems ; Computer graphics ; continuous-time ; Dynamical systems ; I.3.3 [Computer Graphics]: Picture/Image Generation Line and curve generation I.3.8 [Computer Graphics]: Applications Visualization ; parallel coordinate plots ; scatterplots ; Studies ; Visualization</subject><ispartof>Computer graphics forum, 2014-09, Vol.33 (6), p.310-321</ispartof><rights>2014 The Authors Computer Graphics Forum © 2014 The Eurographics Association and John Wiley & Sons Ltd.</rights><rights>Copyright © 2014 The Eurographics Association and John Wiley & Sons Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3352-7175c6d8c6c197af174f2a5851237e26cb9d28ff48e13a89ddae551de2e7ed543</citedby><cites>FETCH-LOGICAL-c3352-7175c6d8c6c197af174f2a5851237e26cb9d28ff48e13a89ddae551de2e7ed543</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1111%2Fcgf.12352$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1111%2Fcgf.12352$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Grottel, S.</creatorcontrib><creatorcontrib>Heinrich, J.</creatorcontrib><creatorcontrib>Weiskopf, D.</creatorcontrib><creatorcontrib>Gumhold, S.</creatorcontrib><title>Visual Analysis of Trajectories in Multi-Dimensional State Spaces</title><title>Computer graphics forum</title><addtitle>Computer Graphics Forum</addtitle><description>Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration. We demonstrate the usefulness of our visualization approach for three case studies that cover examples of complex dynamic systems: cyber‐physical systems consisting of heterogeneous sensors and actuators networks (the collection of time‐dependent sensor network data of an exemplary smart home environment), the dynamics of robot arm movement and motion characteristics of humanoids.
Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration.</description><subject>Analysis</subject><subject>Complex systems</subject><subject>Computer graphics</subject><subject>continuous-time</subject><subject>Dynamical systems</subject><subject>I.3.3 [Computer Graphics]: Picture/Image Generation Line and curve generation I.3.8 [Computer Graphics]: Applications Visualization</subject><subject>parallel coordinate plots</subject><subject>scatterplots</subject><subject>Studies</subject><subject>Visualization</subject><issn>0167-7055</issn><issn>1467-8659</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp1kD1PwzAQhi0EEqUw8A8iMTGktZ3YTsaqpeGjwNBCJRbLOGfkkjbFTgT99xgCbNxyNzzv6dWD0CnBAxJmqF_MgNCE0T3UIykXccZZvo96mIRbYMYO0ZH3K4xxKjjrodGj9a2qotFGVTtvfVSbaOHUCnRTOws-spvotq0aG0_sGjbe1gGM5o1qIJpvlQZ_jA6Mqjyc_Ow-epheLMaX8ey-uBqPZrFOQp1YEME0LzPNNcmFMkSkhiqWsdBWAOX6OS9pZkyaAUlUlpelAsZICRQElCxN-uis-7t19VsLvpGrunWhjZeEccZogjEJ1HlHaVd778DIrbNr5XaSYPllSAZD8ttQYIcd-24r2P0PynEx_U3EXcL6Bj7-Esq9Si4SweTyrpCT5U0xEddPcpl8Alstdb8</recordid><startdate>201409</startdate><enddate>201409</enddate><creator>Grottel, S.</creator><creator>Heinrich, J.</creator><creator>Weiskopf, D.</creator><creator>Gumhold, S.</creator><general>Blackwell Publishing Ltd</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></search><sort><creationdate>201409</creationdate><title>Visual Analysis of Trajectories in Multi-Dimensional State Spaces</title><author>Grottel, S. ; Heinrich, J. ; Weiskopf, D. ; Gumhold, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3352-7175c6d8c6c197af174f2a5851237e26cb9d28ff48e13a89ddae551de2e7ed543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Analysis</topic><topic>Complex systems</topic><topic>Computer graphics</topic><topic>continuous-time</topic><topic>Dynamical systems</topic><topic>I.3.3 [Computer Graphics]: Picture/Image Generation Line and curve generation I.3.8 [Computer Graphics]: Applications Visualization</topic><topic>parallel coordinate plots</topic><topic>scatterplots</topic><topic>Studies</topic><topic>Visualization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grottel, S.</creatorcontrib><creatorcontrib>Heinrich, J.</creatorcontrib><creatorcontrib>Weiskopf, D.</creatorcontrib><creatorcontrib>Gumhold, S.</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><jtitle>Computer graphics forum</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grottel, S.</au><au>Heinrich, J.</au><au>Weiskopf, D.</au><au>Gumhold, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Visual Analysis of Trajectories in Multi-Dimensional State Spaces</atitle><jtitle>Computer graphics forum</jtitle><addtitle>Computer Graphics Forum</addtitle><date>2014-09</date><risdate>2014</risdate><volume>33</volume><issue>6</issue><spage>310</spage><epage>321</epage><pages>310-321</pages><issn>0167-7055</issn><eissn>1467-8659</eissn><abstract>Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration. We demonstrate the usefulness of our visualization approach for three case studies that cover examples of complex dynamic systems: cyber‐physical systems consisting of heterogeneous sensors and actuators networks (the collection of time‐dependent sensor network data of an exemplary smart home environment), the dynamics of robot arm movement and motion characteristics of humanoids.
Multi‐dimensional data originate from many different sources and are relevant for many applications. One specific sub‐type of such data is continuous trajectory data in multi‐dimensional state spaces of complex systems. We adapt the concept of spatially continuous scatterplots and spatially continuous parallel coordinate plots to such trajectory data, leading to continuous‐time scatterplots and continuous‐time parallel coordinates. Together with a temporal heat map representation, we design coordinated views for visual analysis and interactive exploration.</abstract><cop>Oxford</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1111/cgf.12352</doi><tpages>12</tpages></addata></record> |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete; Business Source Complete |
| subjects | Analysis Complex systems Computer graphics continuous-time Dynamical systems I.3.3 [Computer Graphics]: Picture/Image Generation Line and curve generation I.3.8 [Computer Graphics]: Applications Visualization parallel coordinate plots scatterplots Studies Visualization |
| title | Visual Analysis of Trajectories in Multi-Dimensional State Spaces |
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