Visualization of equivalence in 2D bivariate fields

In this paper, we show how the equivalence property leads to the novel concept of equivalent regions in mappings from ℝn to ℝn. We present a technique for obtaining these regions both in the domain and the codomain of such a mapping, and determine their correspondence. This enables effective investi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Zheng, Boyan (VerfasserIn) , Rieck, Bastian (VerfasserIn) , Leitte, Heike (VerfasserIn) , Sadlo, Filip (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 10 July 2019
In: Computer graphics forum
Year: 2019, Jahrgang: 38, Heft: 3, Pages: 311-323
ISSN:1467-8659
DOI:10.1111/cgf.13691
Online-Zugang:Verlag, Volltext: https://doi.org/10.1111/cgf.13691
Verlag: https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13691
Volltext
Verfasserangaben:Boyan Zheng, Bastian Rieck, Heike Leitte, Filip Sadlo

MARC

LEADER 00000caa a2200000 c 4500
001 168159563X
003 DE-627
005 20220817022441.0
007 cr uuu---uuuuu
008 191111s2019 xx |||||o 00| ||eng c
024 7 |a 10.1111/cgf.13691  |2 doi 
035 |a (DE-627)168159563X 
035 |a (DE-599)KXP168159563X 
035 |a (OCoLC)1341250394 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 28  |2 sdnb 
100 1 |a Zheng, Boyan  |d 1987-  |e VerfasserIn  |0 (DE-588)1199303046  |0 (DE-627)1681594390  |4 aut 
245 1 0 |a Visualization of equivalence in 2D bivariate fields  |c Boyan Zheng, Bastian Rieck, Heike Leitte, Filip Sadlo 
264 1 |c 10 July 2019 
300 |a 13 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 11.11.2019 
520 |a In this paper, we show how the equivalence property leads to the novel concept of equivalent regions in mappings from ℝn to ℝn. We present a technique for obtaining these regions both in the domain and the codomain of such a mapping, and determine their correspondence. This enables effective investigation of variation equivalence within mappings, and between mappings in terms of comparative visualization. We implement our approach for n = 2, and demonstrate its utility using different examples. 
650 4 |a Applied computing 
650 4 |a Mathematics and statistics 
650 4 |a Human-centered computing 
650 4 |a Visualization techniques 
650 4 |a CCS Concepts 
700 1 |a Rieck, Bastian  |d 1986-  |e VerfasserIn  |0 (DE-588)1043522018  |0 (DE-627)770639976  |0 (DE-576)394890779  |4 aut 
700 1 |a Leitte, Heike  |d 1982-  |e VerfasserIn  |0 (DE-588)138885052  |0 (DE-627)606715827  |0 (DE-576)309455898  |4 aut 
700 1 |a Sadlo, Filip  |d 1972-  |e VerfasserIn  |0 (DE-588)1116552744  |0 (DE-627)871226030  |0 (DE-576)478485913  |4 aut 
773 0 8 |i Enthalten in  |t Computer graphics forum  |d Oxford : Wiley-Blackwell, 1982  |g 38(2019), 3, Seite 311-323  |h Online-Ressource  |w (DE-627)300591152  |w (DE-600)1482655-0  |w (DE-576)090854748  |x 1467-8659  |7 nnas  |a Visualization of equivalence in 2D bivariate fields 
773 1 8 |g volume:38  |g year:2019  |g number:3  |g pages:311-323  |g extent:13  |a Visualization of equivalence in 2D bivariate fields 
856 4 0 |u https://doi.org/10.1111/cgf.13691  |x Verlag  |x Resolving-System  |3 Volltext 
856 4 0 |u https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13691  |x Verlag 
951 |a AR 
992 |a 20191111 
993 |a Article 
994 |a 2019 
998 |g 1116552744  |a Sadlo, Filip  |m 1116552744:Sadlo, Filip  |d 700000  |d 741000  |d 741030  |e 700000PS1116552744  |e 741000PS1116552744  |e 741030PS1116552744  |k 0/700000/  |k 1/700000/741000/  |k 2/700000/741000/741030/  |p 4  |y j 
998 |g 1199303046  |a Zheng, Boyan  |m 1199303046:Zheng, Boyan  |d 700000  |d 708000  |e 700000PZ1199303046  |e 708000PZ1199303046  |k 0/700000/  |k 1/700000/708000/  |p 1  |x j 
999 |a KXP-PPN168159563X  |e 353897120X 
BIB |a Y 
SER |a journal 
JSO |a {"physDesc":[{"extent":"13 S."}],"relHost":[{"origin":[{"dateIssuedKey":"1982","publisher":"Wiley-Blackwell ; Blackwell","dateIssuedDisp":"1982-","publisherPlace":"Oxford ; Oxford"}],"id":{"issn":["1467-8659"],"zdb":["1482655-0"],"doi":["10.1111/(ISSN)1467-8659"],"eki":["300591152"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Computer graphics forum","subtitle":"the international journal of the Eurographics Association","title_sort":"Computer graphics forum"}],"type":{"bibl":"periodical","media":"Online-Ressource"},"note":["Gesehen am 28.03.22"],"disp":"Visualization of equivalence in 2D bivariate fieldsComputer graphics forum","corporate":[{"roleDisplay":"Herausgebendes Organ","display":"European Association for Computer Graphics","role":"isb"}],"language":["eng"],"recId":"300591152","pubHistory":["1.1982 -"],"part":{"volume":"38","text":"38(2019), 3, Seite 311-323","extent":"13","year":"2019","pages":"311-323","issue":"3"}}],"origin":[{"dateIssuedKey":"2019","dateIssuedDisp":"10 July 2019"}],"id":{"eki":["168159563X"],"doi":["10.1111/cgf.13691"]},"name":{"displayForm":["Boyan Zheng, Bastian Rieck, Heike Leitte, Filip Sadlo"]},"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 11.11.2019"],"recId":"168159563X","language":["eng"],"title":[{"title_sort":"Visualization of equivalence in 2D bivariate fields","title":"Visualization of equivalence in 2D bivariate fields"}],"person":[{"display":"Zheng, Boyan","roleDisplay":"VerfasserIn","role":"aut","family":"Zheng","given":"Boyan"},{"display":"Rieck, Bastian","roleDisplay":"VerfasserIn","role":"aut","family":"Rieck","given":"Bastian"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Leitte, Heike","given":"Heike","family":"Leitte"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Sadlo, Filip","given":"Filip","family":"Sadlo"}]} 
SRT |a ZHENGBOYANVISUALIZAT1020