Space-Time Bifurcation Lines for Extraction of 2D Lagrangian Coherent Structures
We present a novel and efficient technique to extract Lagrangian coherent structures in two‐dimensional time‐dependent vector fields. We show that this can be achieved by employing bifurcation line extraction in the space‐time representation of the vector field, and generating space‐time bifurcation...
Saved in:
| Published in | Computer graphics forum Vol. 35; no. 3; pp. 91 - 100 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Blackwell Publishing Ltd
01.06.2016
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | We present a novel and efficient technique to extract Lagrangian coherent structures in two‐dimensional time‐dependent vector fields. We show that this can be achieved by employing bifurcation line extraction in the space‐time representation of the vector field, and generating space‐time bifurcation manifolds therefrom. To show the utility and applicability of our approach, we provide an evaluation of existing extraction techniques for Lagrangian coherent structures, and compare them to our approach. |
|---|---|
| AbstractList | We present a novel and efficient technique to extract Lagrangian coherent structures in two-dimensional time-dependent vector fields. We show that this can be achieved by employing bifurcation line extraction in the space-time representation of the vector field, and generating space-time bifurcation manifolds therefrom. To show the utility and applicability of our approach, we provide an evaluation of existing extraction techniques for Lagrangian coherent structures, and compare them to our approach. |
| Author | Machado, Gustavo Sadlo, Filip Ertl, Thomas Boblest, Sebastian |
| Author_xml | – sequence: 1 givenname: Gustavo surname: Machado fullname: Machado, Gustavo organization: Federal University of Santa Catarina, Brasil – sequence: 2 givenname: Sebastian surname: Boblest fullname: Boblest, Sebastian organization: University of Stuttgart, Germany – sequence: 3 givenname: Thomas surname: Ertl fullname: Ertl, Thomas organization: University of Stuttgart, Germany – sequence: 4 givenname: Filip surname: Sadlo fullname: Sadlo, Filip organization: Heidelberg University, Germany |
| BookMark | eNp9kE1P3DAQhi0EEgvtof8gEpdyCPjbyRFSdosUARJU7c3yeieLIWsvdqLCv6_ZhR6Q2rnMaPS8o9FzgHZ98IDQF4JPSK5Tu-xOCK0qsYMmhEtVVlLUu2iCSZ4VFmIfHaT0gDHmSooJurldGwvlnVtBce66MVozuOCL1nlIRRdicfE8RGM3y9AV9FvRmmU0fumML5pwDxH8UNwOcbTDGCF9Qnud6RN8fuuH6Mf04q75XrbXs8vmrC0tk5UoF3NC6oWginM2ZzVgMzeMV4ozsBIW9YJLWjPgGBgVlBqlWGfntTJSmBpLzA7R1-3ddQxPI6RBr1yy0PfGQxiTJhUVggvBWEaPPqAPYYw-f5cpTLiqcaUydbylbAwpRej0OrqViS-aYP3qVme3euM2s6cfWOuGjbjsyvX_S_x2Pbz8-7RuZtP3RLlNuDTA89-EiY9aKqaE_nk107iZtVc3dKp_sT_sY5m6 |
| CitedBy_id | crossref_primary_10_1109_TVCG_2019_2934375 crossref_primary_10_1109_TVCG_2016_2599016 crossref_primary_10_1109_TVCG_2016_2599018 crossref_primary_10_1111_cgf_13319 crossref_primary_10_1111_cgf_14183 crossref_primary_10_1111_cgf_14293 crossref_primary_10_1111_cgf_13421 crossref_primary_10_1111_cgf_13982 crossref_primary_10_1111_cgf_14037 crossref_primary_10_1111_cgf_13423 crossref_primary_10_1111_cgf_13687 crossref_primary_10_1145_3658219 |
| Cites_doi | 10.2514/6.1995-1715 10.1146/annurev.fl.19.010187.001013 10.1007/978-3-642-38241-3_10 10.1109/TVCG.2010.227 10.1007/978-3-642-15014-2_13 10.1111/j.1467-8659.2009.01686.x 10.1109/TVCG.2011.290 10.1109/TVCG.2007.70557 10.1007/978-3-662-44900-4_10 10.1109/2.35197 10.1016/j.physd.2010.11.010 10.1109/VISUAL.1999.809896 10.1007/978-3-642-23175-9_18 10.1109/VISUAL.2004.99 10.1111/j.1467-8659.2009.01546.x 10.1016/S0167-2789(00)00199-8 10.1109/VISUAL.1998.745297 10.1063/1.166479 10.1109/2945.773805 10.1109/TVCG.2010.198 10.1016/j.physd.2005.10.007 10.1109/TVCG.2007.70551 10.5220/0003810905730583 10.1007/978-3-642-23175-9_15 10.1109/TVCG.2007.70554 10.1111/j.1467-8659.2011.01901.x 10.1109/TVCG.2012.131 10.1145/166117.166151 |
| ContentType | Journal Article |
| Copyright | 2016 The Author(s) Computer Graphics Forum © 2016 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd. 2016 The Eurographics Association and John Wiley & Sons Ltd. |
| Copyright_xml | – notice: 2016 The Author(s) Computer Graphics Forum © 2016 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd. – notice: 2016 The Eurographics Association and John Wiley & Sons Ltd. |
| DBID | BSCLL AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D F28 FR3 |
| DOI | 10.1111/cgf.12885 |
| DatabaseName | Istex CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ANTE: Abstracts in New Technology & Engineering Engineering Research Database |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional Engineering Research Database ANTE: Abstracts in New Technology & Engineering |
| DatabaseTitleList | Computer and Information Systems Abstracts CrossRef Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1467-8659 |
| EndPage | 100 |
| ExternalDocumentID | 4107220331 10_1111_cgf_12885 CGF12885 ark_67375_WNG_0CGLNP2F_X |
| Genre | article Feature |
| GroupedDBID | .3N .4S .DC .GA .Y3 05W 0R~ 10A 15B 1OB 1OC 29F 31~ 33P 3SF 4.4 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5HH 5LA 5VS 66C 6J9 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 8VB 930 A03 AAESR AAEVG AAHHS AANLZ AAONW AASGY AAXRX AAZKR ABCQN ABCUV ABDBF ABDPE ABEML ABPVW ACAHQ ACBWZ ACCFJ ACCZN ACFBH ACGFS ACPOU ACSCC ACXBN ACXQS ADBBV ADEOM ADIZJ ADKYN ADMGS ADOZA ADXAS ADZMN ADZOD AEEZP AEGXH AEIGN AEIMD AEMOZ AENEX AEQDE AEUQT AEUYR AFBPY AFEBI AFFNX AFFPM AFGKR AFPWT AFZJQ AHBTC AHEFC AITYG AIURR AIWBW AJBDE AJXKR AKVCP ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN AMBMR AMYDB ARCSS ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CAG COF CS3 CWDTD D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EAD EAP EBA EBO EBR EBS EBU EDO EJD EMK EST ESX F00 F01 F04 F5P FEDTE FZ0 G-S G.N GODZA H.T H.X HF~ HGLYW HVGLF HZI HZ~ I-F IHE IX1 J0M K1G K48 LATKE LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ O66 O9- OIG P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QWB R.K RDJ RIWAO RJQFR ROL RX1 SAMSI SUPJJ TH9 TN5 TUS UB1 V8K W8V W99 WBKPD WIH WIK WOHZO WQJ WRC WXSBR WYISQ WZISG XG1 ZL0 ZZTAW ~IA ~IF ~WT AAHQN AAMNL AANHP AAYCA ACRPL ACUHS ACYXJ ADNMO AFWVQ AHQJS ALVPJ AAMMB AAYXX ADMLS AEFGJ AEYWJ AGHNM AGQPQ AGXDD AGYGG AIDQK AIDYY CITATION 7SC 8FD JQ2 L7M L~C L~D F28 FR3 |
| ID | FETCH-LOGICAL-c3685-db119d527443b39e0aba348743ec6ed9d46293e40e32522a773fcb97a65a90603 |
| IEDL.DBID | DR2 |
| ISSN | 0167-7055 |
| IngestDate | Fri Jul 11 15:31:31 EDT 2025 Fri Jul 25 02:23:34 EDT 2025 Thu Apr 24 23:13:08 EDT 2025 Thu Jul 03 08:21:41 EDT 2025 Wed Jan 22 16:22:47 EST 2025 Wed Oct 30 09:53:57 EDT 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c3685-db119d527443b39e0aba348743ec6ed9d46293e40e32522a773fcb97a65a90603 |
| Notes | ArticleID:CGF12885 istex:BED4A70C1E269167965EC81820A0041DC8C44843 ark:/67375/WNG-0CGLNP2F-X SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1801479087 |
| PQPubID | 30877 |
| PageCount | 10 |
| ParticipantIDs | proquest_miscellaneous_1825545533 proquest_journals_1801479087 crossref_primary_10_1111_cgf_12885 crossref_citationtrail_10_1111_cgf_12885 wiley_primary_10_1111_cgf_12885_CGF12885 istex_primary_ark_67375_WNG_0CGLNP2F_X |
| PublicationCentury | 2000 |
| PublicationDate | 2016-06 June 2016 2016-06-00 20160601 |
| PublicationDateYYYYMMDD | 2016-06-01 |
| PublicationDate_xml | – month: 06 year: 2016 text: 2016-06 |
| PublicationDecade | 2010 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Computer graphics forum |
| PublicationTitleAlternate | Computer Graphics Forum |
| PublicationYear | 2016 |
| Publisher | Blackwell Publishing Ltd |
| Publisher_xml | – name: Blackwell Publishing Ltd |
| References | Chen G., Kwatra V., Wei L.-Y., Hansen C.D., Zhang E.: Design of 2d time-varying vector fields. IEEE Transactions on Visualization and Computer Graphics 18, 10 (Oct. 2012), 1717-1730. 2 Garth C., Gerhardt F., Tricoche X., Hagen H.: Efficient computation and visualization of coherent structures in fluid flow applications. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007), 1464-71. 1, 2 Shadden S., Lekien F., Marsden J.: Definition and properties of Lagrangian coherent structures from finite-time lyapunov exponents in two-dimensional aperiodic flows. Physica D: Nonlinear Phenomena 212, 3-4 (2005), 271-304. 1, 2, 3 Fuchs R., Kemmler J., Schindler B., Sadlo F., Hauser H., Peikert R.: Toward a Lagrangian vector field topology. Computer Graphics Forum 29, 3 (2010), 1163-1172. 2 Wiebel A., Tricoche X., Schneider D., Jaenicke H., Scheuermann G.: Generalized streak lines: Analysis and visualization of boundary induced vortices. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007), 1735-1742. 3 Hlawatsch M., Sadlo F., Weiskopf D.: Hierarchical line integration. IEEE Transactions on Visualization and Computer Graphics 17, 8 (2011), 1148-1163. 2 Üffinger M., Sadlo F., Kirby M., Hansen C., Ertl T.: FTLE computation beyond first-order approximation. In Short Paper Proc. Eurographics 2012 (2012), pp. 61-64. 2 Perry A.E., Chong M.S.: A description of eddying motions and flow patterns using critical-point concepts. Annual Review of Fluid Mechanics 19 (1987), 125-155. 2, 3 Haller G.: A variational theory of hyperbolic Lagrangian coherent structures. Physica D: Nonlinear Phenomena 240, 7 (2011), 574-598. 3 Helman J., Hesselink L.: Representation and display of vector field topology in fluid flow data sets. IEEE Computer 22, 8 (1989), 27-36. 1, 2 Haller G.: Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D 149 (2001), 248-277. 1, 2 Sadlo F., Peikert R.: Efficient visualization of Lagrangian coherent structures by filtered AMR ridge extraction. IEEE Transactions on Visualization and Computer Graphics 13, 5 (2007), 1456-1463. 1, 2 Asimov D.: Notes on the Topology of Vector Fields and Flows. Tech. Rep. RNR-93-003, NASA Ames Research Center, 1993. 1, 2 Üffinger M., Sadlo F., Ertl T.: A time-dependent vector field topology based on streak surfaces. IEEE Transactions on Visualization and Computer Graphics 19, 3 (2013), 379-392. 1, 2, 3, 4, 5, 8 Sadlo F., Weiskopf D.: Time-dependent 2-D vector field topology: An approach inspired by Lagrangian coherent structures. Computer Graphics Forum 29, 1 (2010), 88-100. 1, 2, 3, 4, 5, 6, 7 Haller G.: Finding finite-time invariant manifolds in two-dimensional velocity fields. Chaos 10, 1 (2000), 99-108. 1, 2, 3, 4 Kenwright D.N., Henze C., Levit C.: Feature extraction of separation and attachment lines. IEEE Transactions on Visualization and Computer Graphics 5, 2 (1999), 135-144. 4 Pobitzer A., Peikert R., Fuchs R., Schindler B., Kuhn A., Theisel H., Matkovic K., Hauser H.: The state of the art in topology-based visualization of unsteady flow. Computer Graphics Forum 30, 6 (2011), 1789-1811. 2 Theisel H., Seidel H.-P.: Feature flow fields. In Proc. Symposium on Data visualisation 2003 (2003), pp. 141-148. 2 Weinkauf T., Theisel H.: Streak lines as tangent curves of a derived vector field. IEEE Transactions on Visualization and Computer Graphics 16, 6 (2010), 1225-1234. 4 1989; 22 2010; 16 2012; 2012 2012 2011 2010 2005; 212 2003; 2003 1998 2011; 30 1996 1995 2012; 18 2005 1993 2004 2011; 17 1987; 19 1999; 5 2007; 13 2001; 149 1999 2013; 19 2000 2010; 29 2000; 10 2015 2013 2011; 240 e_1_2_9_30_2 e_1_2_9_10_2 e_1_2_9_12_2 e_1_2_9_31_2 Eberly D. (e_1_2_9_6_2) 1996 e_1_2_9_11_2 e_1_2_9_32_2 Üffinger M. (e_1_2_9_37_2) 2012; 2012 Asimov D. (e_1_2_9_2_2) 1993 e_1_2_9_14_2 e_1_2_9_13_2 e_1_2_9_38_2 e_1_2_9_16_2 e_1_2_9_35_2 e_1_2_9_15_2 e_1_2_9_36_2 e_1_2_9_18_2 e_1_2_9_39_2 e_1_2_9_19_2 e_1_2_9_21_2 e_1_2_9_20_2 Tricoche X. (e_1_2_9_33_2) 2005 Kasten J. (e_1_2_9_17_2) 2010 e_1_2_9_23_2 e_1_2_9_22_2 e_1_2_9_7_2 e_1_2_9_5_2 e_1_2_9_4_2 Theisel H. (e_1_2_9_34_2) 2003; 2003 e_1_2_9_3_2 Sadlo F. (e_1_2_9_24_2) 2015 e_1_2_9_9_2 e_1_2_9_8_2 e_1_2_9_25_2 e_1_2_9_27_2 e_1_2_9_26_2 e_1_2_9_29_2 e_1_2_9_28_2 |
| References_xml | – reference: Chen G., Kwatra V., Wei L.-Y., Hansen C.D., Zhang E.: Design of 2d time-varying vector fields. IEEE Transactions on Visualization and Computer Graphics 18, 10 (Oct. 2012), 1717-1730. 2 – reference: Garth C., Gerhardt F., Tricoche X., Hagen H.: Efficient computation and visualization of coherent structures in fluid flow applications. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007), 1464-71. 1, 2 – reference: Kenwright D.N., Henze C., Levit C.: Feature extraction of separation and attachment lines. IEEE Transactions on Visualization and Computer Graphics 5, 2 (1999), 135-144. 4 – reference: Perry A.E., Chong M.S.: A description of eddying motions and flow patterns using critical-point concepts. Annual Review of Fluid Mechanics 19 (1987), 125-155. 2, 3 – reference: Sadlo F., Peikert R.: Efficient visualization of Lagrangian coherent structures by filtered AMR ridge extraction. IEEE Transactions on Visualization and Computer Graphics 13, 5 (2007), 1456-1463. 1, 2 – reference: Üffinger M., Sadlo F., Kirby M., Hansen C., Ertl T.: FTLE computation beyond first-order approximation. In Short Paper Proc. Eurographics 2012 (2012), pp. 61-64. 2 – reference: Weinkauf T., Theisel H.: Streak lines as tangent curves of a derived vector field. IEEE Transactions on Visualization and Computer Graphics 16, 6 (2010), 1225-1234. 4 – reference: Shadden S., Lekien F., Marsden J.: Definition and properties of Lagrangian coherent structures from finite-time lyapunov exponents in two-dimensional aperiodic flows. Physica D: Nonlinear Phenomena 212, 3-4 (2005), 271-304. 1, 2, 3 – reference: Haller G.: A variational theory of hyperbolic Lagrangian coherent structures. Physica D: Nonlinear Phenomena 240, 7 (2011), 574-598. 3 – reference: Üffinger M., Sadlo F., Ertl T.: A time-dependent vector field topology based on streak surfaces. IEEE Transactions on Visualization and Computer Graphics 19, 3 (2013), 379-392. 1, 2, 3, 4, 5, 8 – reference: Sadlo F., Weiskopf D.: Time-dependent 2-D vector field topology: An approach inspired by Lagrangian coherent structures. Computer Graphics Forum 29, 1 (2010), 88-100. 1, 2, 3, 4, 5, 6, 7 – reference: Helman J., Hesselink L.: Representation and display of vector field topology in fluid flow data sets. IEEE Computer 22, 8 (1989), 27-36. 1, 2 – reference: Hlawatsch M., Sadlo F., Weiskopf D.: Hierarchical line integration. IEEE Transactions on Visualization and Computer Graphics 17, 8 (2011), 1148-1163. 2 – reference: Theisel H., Seidel H.-P.: Feature flow fields. In Proc. Symposium on Data visualisation 2003 (2003), pp. 141-148. 2 – reference: Fuchs R., Kemmler J., Schindler B., Sadlo F., Hauser H., Peikert R.: Toward a Lagrangian vector field topology. Computer Graphics Forum 29, 3 (2010), 1163-1172. 2 – reference: Asimov D.: Notes on the Topology of Vector Fields and Flows. Tech. Rep. RNR-93-003, NASA Ames Research Center, 1993. 1, 2 – reference: Wiebel A., Tricoche X., Schneider D., Jaenicke H., Scheuermann G.: Generalized streak lines: Analysis and visualization of boundary induced vortices. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007), 1735-1742. 3 – reference: Haller G.: Finding finite-time invariant manifolds in two-dimensional velocity fields. Chaos 10, 1 (2000), 99-108. 1, 2, 3, 4 – reference: Haller G.: Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D 149 (2001), 248-277. 1, 2 – reference: Pobitzer A., Peikert R., Fuchs R., Schindler B., Kuhn A., Theisel H., Matkovic K., Hauser H.: The state of the art in topology-based visualization of unsteady flow. Computer Graphics Forum 30, 6 (2011), 1789-1811. 2 – volume: 16 start-page: 1225 issue: 6 year: 2010 end-page: 1234 article-title: Streak lines as tangent curves of a derived vector field publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 2003 start-page: 141 year: 2003 end-page: 148 article-title: Feature flow fields publication-title: Proc. Symposium on Data visualisation – volume: 2012 start-page: 61 year: 2012 end-page: 64 article-title: FTLE computation beyond first‐order approximation publication-title: Short Paper Proc. Eurographics – start-page: 143 year: 1998 end-page: 150 – start-page: 151 year: 1998 end-page: 158 – volume: 29 start-page: 1163 issue: 3 year: 2010 end-page: 1172 article-title: Toward a Lagrangian vector field topology publication-title: Computer Graphics Forum – start-page: 573 year: 2012 end-page: 583 – start-page: 321 year: 2004 end-page: 328 – year: 1996 – volume: 5 start-page: 135 issue: 2 year: 1999 end-page: 144 article-title: Feature extraction of separation and attachment lines publication-title: IEEE Transactions on Visualization and Computer Graphics – year: 2000 – volume: 19 start-page: 125 year: 1987 end-page: 155 article-title: A description of eddying motions and flow patterns using critical‐point concepts publication-title: Annual Review of Fluid Mechanics – volume: 13 start-page: 1456 issue: 5 year: 2007 end-page: 1463 article-title: Efficient visualization of Lagrangian coherent structures by filtered AMR ridge extraction publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 240 start-page: 574 issue: 7 year: 2011 end-page: 598 article-title: A variational theory of hyperbolic Lagrangian coherent structures publication-title: Physica D: Nonlinear Phenomena – start-page: 221 year: 2012 end-page: 235 – start-page: 145 year: 2013 end-page: 159 – year: 2010 – start-page: 167 year: 2015 end-page: 181 – volume: 149 start-page: 248 year: 2001 end-page: 277 article-title: Distinguished material surfaces and coherent structures in three‐dimensional fluid flows publication-title: Physica D – start-page: 115 year: 2010 end-page: 126 – volume: 30 start-page: 1789 issue: 6 year: 2011 end-page: 1811 article-title: The state of the art in topology‐based visualization of unsteady flow publication-title: Computer Graphics Forum – volume: 19 start-page: 379 issue: 3 year: 2013 end-page: 392 article-title: A time‐dependent vector field topology based on streak surfaces publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 13 start-page: 1735 issue: 6 year: 2007 end-page: 1742 article-title: Generalized streak lines: Analysis and visualization of boundary induced vortices publication-title: IEEE Transactions on Visualization and Computer Graphics – start-page: 269 year: 2012 end-page: 281 – start-page: 263 year: 1999 end-page: 270 – volume: 17 start-page: 1148 issue: 8 year: 2011 end-page: 1163 article-title: Hierarchical line integration publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 13 start-page: 1464 issue: 6 year: 2007 end-page: 71 article-title: Efficient computation and visualization of coherent structures in fluid flow applications publication-title: IEEE Transactions on Visualization and Computer Graphics – start-page: 263 year: 1993 end-page: 270 – volume: 22 start-page: 27 issue: 8 year: 1989 end-page: 36 article-title: Representation and display of vector field topology in fluid flow data sets publication-title: IEEE Computer – start-page: 17 year: 2013 end-page: 24 – volume: 10 start-page: 99 issue: 1 year: 2000 end-page: 108 article-title: Finding finite‐time invariant manifolds in two‐dimensional velocity fields publication-title: Chaos – volume: 18 start-page: 1717 issue: 10 year: 2012 end-page: 1730 article-title: Design of 2d time‐varying vector fields publication-title: IEEE Transactions on Visualization and Computer Graphics – start-page: 151 year: 2011 end-page: 165 – year: 1993 – start-page: 95 year: 1995 end-page: 1715 – volume: 212 start-page: 271 issue: 3 year: 2005 end-page: 4 304 article-title: Definition and properties of Lagrangian coherent structures from finite‐time lyapunov exponents in two‐dimensional aperiodic flows publication-title: Physica D: Nonlinear Phenomena – start-page: 249 year: 2005 end-page: 264 – volume: 29 start-page: 88 issue: 1 year: 2010 end-page: 100 article-title: Time‐dependent 2‐D vector field topology: An approach inspired by Lagrangian coherent structures publication-title: Computer Graphics Forum – ident: e_1_2_9_26_2 doi: 10.2514/6.1995-1715 – ident: e_1_2_9_19_2 doi: 10.1146/annurev.fl.19.010187.001013 – ident: e_1_2_9_25_2 doi: 10.1007/978-3-642-38241-3_10 – volume: 2003 start-page: 141 year: 2003 ident: e_1_2_9_34_2 article-title: Feature flow fields publication-title: Proc. Symposium on Data visualisation – ident: e_1_2_9_8_2 – ident: e_1_2_9_14_2 doi: 10.1109/TVCG.2010.227 – ident: e_1_2_9_30_2 doi: 10.1007/978-3-642-15014-2_13 – ident: e_1_2_9_7_2 doi: 10.1111/j.1467-8659.2009.01686.x – ident: e_1_2_9_4_2 doi: 10.1109/TVCG.2011.290 – ident: e_1_2_9_39_2 doi: 10.1109/TVCG.2007.70557 – start-page: 167 volume-title: Topological and Statistical Methods for Complex Data year: 2015 ident: e_1_2_9_24_2 doi: 10.1007/978-3-662-44900-4_10 – ident: e_1_2_9_18_2 – ident: e_1_2_9_23_2 – ident: e_1_2_9_13_2 doi: 10.1109/2.35197 – volume: 2012 start-page: 61 year: 2012 ident: e_1_2_9_37_2 article-title: FTLE computation beyond first‐order approximation publication-title: Short Paper Proc. Eurographics – ident: e_1_2_9_12_2 doi: 10.1016/j.physd.2010.11.010 – volume-title: Notes on the Topology of Vector Fields and Flows. year: 1993 ident: e_1_2_9_2_2 – ident: e_1_2_9_21_2 doi: 10.1109/VISUAL.1999.809896 – volume-title: Computational Imaging and Vision year: 1996 ident: e_1_2_9_6_2 – ident: e_1_2_9_31_2 doi: 10.1007/978-3-642-23175-9_18 – start-page: 249 volume-title: Scientific Visualization: The Visual Extraction of Knowledge from Data year: 2005 ident: e_1_2_9_33_2 – ident: e_1_2_9_35_2 doi: 10.1109/VISUAL.2004.99 – ident: e_1_2_9_32_2 doi: 10.1111/j.1467-8659.2009.01546.x – ident: e_1_2_9_11_2 doi: 10.1016/S0167-2789(00)00199-8 – ident: e_1_2_9_15_2 doi: 10.1109/VISUAL.1998.745297 – ident: e_1_2_9_22_2 – ident: e_1_2_9_10_2 doi: 10.1063/1.166479 – ident: e_1_2_9_16_2 doi: 10.1109/2945.773805 – ident: e_1_2_9_38_2 doi: 10.1109/TVCG.2010.198 – ident: e_1_2_9_27_2 doi: 10.1016/j.physd.2005.10.007 – ident: e_1_2_9_9_2 doi: 10.1109/TVCG.2007.70551 – start-page: 115 volume-title: Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications. year: 2010 ident: e_1_2_9_17_2 – ident: e_1_2_9_3_2 doi: 10.5220/0003810905730583 – ident: e_1_2_9_29_2 doi: 10.1007/978-3-642-23175-9_15 – ident: e_1_2_9_28_2 doi: 10.1109/TVCG.2007.70554 – ident: e_1_2_9_20_2 doi: 10.1111/j.1467-8659.2011.01901.x – ident: e_1_2_9_36_2 doi: 10.1109/TVCG.2012.131 – ident: e_1_2_9_5_2 doi: 10.1145/166117.166151 |
| SSID | ssj0004765 |
| Score | 2.2345588 |
| Snippet | We present a novel and efficient technique to extract Lagrangian coherent structures in two‐dimensional time‐dependent vector fields. We show that this can be... We present a novel and efficient technique to extract Lagrangian coherent structures in two-dimensional time-dependent vector fields. We show that this can be... |
| SourceID | proquest crossref wiley istex |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 91 |
| SubjectTerms | Analysis Bifurcations Categories and Subject Descriptors (according to ACM CCS) Coherence Computer graphics Extraction Fields (mathematics) Lagrange multiplier Physical Sciences and Engineering [J.2]: Physics Representations Simulation and Modeling [I.6.6]: Simulation Output Analysis Spacetime Studies Time dependence Two dimensional Utilities |
| Title | Space-Time Bifurcation Lines for Extraction of 2D Lagrangian Coherent Structures |
| URI | https://api.istex.fr/ark:/67375/WNG-0CGLNP2F-X/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fcgf.12885 https://www.proquest.com/docview/1801479087 https://www.proquest.com/docview/1825545533 |
| Volume | 35 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LaxsxEB5CekkOaZqmxIlb1FJKLmvWXmll0VPr2g7BNSUP6kNBSFqtCQl28QNMT_0J-Y35JZ3ZV53SQMhtYWdBq9Fovm935hPAe0w6lru2CiRigwD5hgtspHggwpa1RkZChdSc_HUYn1zy05EYbcDHshcm14eoPrhRZGT7NQW4sfO1IHfjtIGba5sazKlWiwDR2V_pKC5jUep6k2JMoSpEVTzVk_dy0TOa1tU9oLkOV7N803sOP8qR5mUm143lwjbcr39EHJ_4KruwU-BQ9ilfOC9gw0_2YHtNnfAlnJ0jn_Z3v2-pTYR9vkqXs_z7HhtQrTxDuMu6q8Usb41g05S1vrCBGWP2G-OiY9T5QdpP7DzTqF0isd-Hy173onMSFEcwBI6U6YPENpsqESQjGKEPfWisiZDj8Mi72Ccq4THiBc9DH7UQyRkpo9RZJU0sjArjMHoFm5PpxB8A800r0hTjP_EJV84bpMbSekQ8dKJ4zGtwXDpDu0KfnI7JuNElT8Fp0tk01eBdZfozF-X4n9GHzKOVhZldUxWbFPr7sK_DTn8w_Nbq6VEN6qXLdRHAc90kVR2pwraswdvqNoYe_U8xEz9dkg3yMS4QMOPYM_8-PBrd6feyi8PHmx7BFsKzOC9Mq8MmOsu_Rgi0sG-ytf4H33T_2w |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LbxMxEB6V9gA98EYNLWAQQlw22mTtdSxxgdAkwDZCfYhckGV7vVHVKkEhkaqe-An8Rn4JM94HKQIJcVspE8nr8djf5535BuA5HjqWu56KJGKDCPmGi2yieCTirrVGJkLFVJx8ME5HJ_z9REw24FVdC1PqQzQXbhQZYb-mAKcL6bUod9OijbtrT1yDLeroHQjV4S_xKC5TUSt7k2ZMpStEeTzNX6-cRls0sRdXoOY6YA0nzuAWfK7HWiaanLVXS9t2l7_JOP7vy9yGmxUUZa_LtXMHNvzsLmyvCRTeg8MjpNT-x7fvVCnC3pwWq0V5xccySpdniHjZ_sVyUVZHsHnBum9ZZqZ4AE5x3TEq_iD5J3YUZGpXyO3vw8lg_7g_iqouDJEjcfoot52OygUpCSboRh8baxKkOTzxLvW5ynmKkMHz2CddBHNGyqRwVkmTCqPiNE4ewOZsPvM7wHzHiqLALSD3OVfOG2TH0noEPdRUPOUteFl7Q7tKopw6ZZzrmqrgNOkwTS141ph-KXU5_mT0Iri0sTCLM0pkk0J_Gg913B9m44_dgZ60YK_2ua5i-KvukLCOVHFPtuBp8zNGH31SMTM_X5ENUjIuEDPj2IOD_z4a3R8OwsPDfzd9AtdHxweZzt6NP-zCDURraZmntgeb6Dj_CBHR0j4OC_8n13UEBQ |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3daxNBEB9qC6IP1k-MrbqKiC8XNrn9yNEnTXqpGkNpLeahsOzu7QWpJCUmUPrkn-Df6F_izH2ZioL4dnBzsLczs_Ob3ZnfArzAoOOE7yWRRmwQYb7hIxcnIpK865zVsUw4NSd_GKuDE_FuIicbsFf3wpT8EM2GG3lGsV6Tg59n-ZqT-2nexsW1J6_BllC8RyY9OPrFHSW0kjWxN1HGVLRCVMbTfHolGG3RvF5cQZrreLUIOOk2nNZDLetMztqrpWv7y99YHP_zX27DrQqIstel5dyBjTC7CzfX6AnvwdExJtThx7fv1CfC3nzOV4tyg4-NqFieId5l-xfLRdkbweY56w7YyE4x_E3R6hi1fhD5EzsuSGpXmNnfh5N0_2P_IKruYIg8UdNHmet0kkwSj2CMSgzcOhtjkiPi4FXIkkwoBAxB8BB3EcpZrePcu0RbJW3CFY8fwOZsPgsPgYWOk3mOC0AWMpH4YDE31i4g5KErxZVowataGcZXBOV0T8YXUycqOE2mmKYWPG9Ez0tWjj8JvSw02kjYxRmVsWlpPo2HhveHo_FhNzWTFuzWKjeVB381HaLV0Qnv6RY8a16j79GBip2F-YpkMCETEhEzjr3Q799HY_rDtHh49O-iT-H64SA1o7fj9ztwA6GaKovUdmET9RYeIxxauieF2f8E5H8CvQ |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Space%E2%80%90Time+Bifurcation+Lines+for+Extraction+of+2D+Lagrangian+Coherent+Structures&rft.jtitle=Computer+graphics+forum&rft.au=Machado%2C+Gustavo&rft.au=Boblest%2C+Sebastian&rft.au=Ertl%2C+Thomas&rft.au=Sadlo%2C+Filip&rft.date=2016-06-01&rft.issn=0167-7055&rft.eissn=1467-8659&rft.volume=35&rft.issue=3&rft.spage=91&rft.epage=100&rft_id=info:doi/10.1111%2Fcgf.12885&rft.externalDBID=10.1111%252Fcgf.12885&rft.externalDocID=CGF12885 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-7055&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-7055&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-7055&client=summon |