{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T14:53:06Z","timestamp":1743087186343,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":31,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662448991"},{"type":"electronic","value":"9783662449004"}],"license":[{"start":{"date-parts":[[2014,11,3]],"date-time":"2014-11-03T00:00:00Z","timestamp":1414972800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,11,3]],"date-time":"2014-11-03T00:00:00Z","timestamp":1414972800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-662-44900-4_12","type":"book-chapter","created":{"date-parts":[[2014,11,21]],"date-time":"2014-11-21T16:26:19Z","timestamp":1416587179000},"page":"205-218","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Computing Accurate Morse-Smale Complexes from Gradient Vector Fields"],"prefix":"10.1007","author":[{"given":"Attila","family":"Gyulassy","sequence":"first","affiliation":[]},{"given":"Harsh","family":"Bhatia","sequence":"additional","affiliation":[]},{"given":"Peer-Timo","family":"Bremer","sequence":"additional","affiliation":[]},{"given":"Valerio","family":"Pascucci","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,11,3]]},"reference":[{"issue":"2","key":"12_CR1","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1109\/TVCG.2009.69","volume":"16","author":"P.-T. Bremer","year":"2010","unstructured":"Bremer, P.-T., Weber, G., Pascucci, V., Day, M., Bell, J.: Analyzing and tracking burning structures in lean premixed hydrogen flames. IEEE Trans. Vis. Comput. Graph. 16(2), 248\u2013260 (2010)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"12_CR2","doi-asserted-by":"crossref","unstructured":"Cayley, A.: On contour and slope lines. Lond. Edinb. Dublin Philos. Mag. J. Sci. XVIII, 264\u2013268 (1859)","DOI":"10.1080\/14786445908642760"},{"key":"12_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0883-9","volume-title":"A Mathematical Introduction to Fluid Mechanics","author":"A.J. Chorin","year":"1993","unstructured":"Chorin, A.J., Marsden, J.E.: A Mathematical Introduction to Fluid Mechanics. Springer, Berlin (1993)"},{"issue":"4","key":"12_CR4","doi-asserted-by":"publisher","first-page":"848","DOI":"10.1109\/TVCG.2008.33","volume":"14","author":"G. Chen","year":"2008","unstructured":"Chen, G., Mischaikow, K., Laramee, R.S., Zhang, E.: Efficient Morse decompositions of vector fields. IEEE Trans.\u00a0Vis.\u00a0Comput.\u00a0Grap. 14(4), 848\u2013862 (2008)","journal-title":"IEEE Trans. Vis. Comput. Grap."},{"key":"12_CR5","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1145\/77635.77639","volume":"9","author":"H. Edelsbrunner","year":"1990","unstructured":"Edelsbrunner, H., M\u00fccke, E.P.: Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms. ACM Trans. Graph. 9, 66\u2013104 (1990)","journal-title":"ACM Trans. Graph."},{"key":"12_CR6","unstructured":"Edelsbrunner, H., Letscher, D., Zomorodian, A.: Topological persistence and simplification. In: Proceedings of the 41st Annual Symposium on Foundations of Computer Science, FOCS \u201900, pp. 454\u2013463. IEEE Computer Society, Washington (2000)"},{"key":"12_CR7","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s00454-003-2926-5","volume":"30","author":"H. Edelsbrunner","year":"2003","unstructured":"Edelsbrunner, H., Harer, J., Zomorodian, A.: Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Discrete Comput. Geom. 30, 87\u2013107 (2003)","journal-title":"Discrete Comput. Geom."},{"key":"12_CR8","unstructured":"Forman, R.: A user\u2019s guide to discrete Morse theory. In: S\u00e9minare Lotharinen de Combinatore, vol.\u00a048 (2002)"},{"issue":"6","key":"12_CR9","doi-asserted-by":"publisher","first-page":"1432","DOI":"10.1109\/TVCG.2007.70603","volume":"13","author":"A. Gyulassy","year":"2007","unstructured":"Gyulassy, A., Duchaineau, M., Natarajan, V., Pascucci, V., Bringa, E., Higginbotham, A., Hamann, B.: Topologically clean distance fields. IEEE Trans. Comput. Graph. Vis. 13(6), 1432\u20131439 (2007)","journal-title":"IEEE Trans. Comput. Graph. Vis."},{"issue":"6","key":"12_CR10","doi-asserted-by":"publisher","first-page":"1619","DOI":"10.1109\/TVCG.2008.110","volume":"14","author":"A. Gyulassy","year":"2008","unstructured":"Gyulassy, A., Bremer, P.-T., Pascucci, V., Hamann, B.: A practical approach to Morse-Smale complex computation: scalability and generality. IEEE Trans. Vis. Comput. Graph. 14(6), 1619\u20131626 (2008)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"12","key":"12_CR11","doi-asserted-by":"publisher","first-page":"2014","DOI":"10.1109\/TVCG.2012.209","volume":"18","author":"A. Gyulassy","year":"2012","unstructured":"Gyulassy, A., Bremer, P.T., Pascucci, V.: Computing Morse-Smale complexes with accurate geometry. IEEE Trans. Vis. Comput. Graph. 18(12), 2014\u20132022 (2012)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"8","key":"12_CR12","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1109\/2.35197","volume":"22","author":"J. Helman","year":"1989","unstructured":"Helman, J., Hesselink, L.: Representation and display of vector field topology in fluid flow data sets. IEEE Comput. 22(8), 27\u201336 (1989)","journal-title":"IEEE Comput."},{"issue":"12","key":"12_CR13","doi-asserted-by":"publisher","first-page":"2080","DOI":"10.1109\/TVCG.2011.249","volume":"17","author":"J. Kasten","year":"2011","unstructured":"Kasten, J., Reininghaus, J., Hotz, I., Hege, H.-C.: Two-dimensional time-dependent vortex regions based on the acceleration magnitude. IEEE Trans. Vis. Comput. Graph. 17(12), 2080\u20132087 (2011)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"4","key":"12_CR14","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1080\/10586458.2005.10128941","volume":"14","author":"H. King","year":"2005","unstructured":"King, H., Knudson, K., Neza, M.: Generating discrete Morse functions from point data. Exp. Math. 14(4), 435\u2013444 (2005)","journal-title":"Exp. Math."},{"issue":"5","key":"12_CR15","doi-asserted-by":"publisher","first-page":"1052","DOI":"10.1109\/TVCG.2006.186","volume":"12","author":"D. Laney","year":"2006","unstructured":"Laney, D., Bremer, P.-T., Mascarenhas, A., Miller, P., Pascucci, V.: Understanding the structure of the turbulent mixing layer in hydrodynamic instabilities. IEEE Trans. Vis. Comput. Graph. 12(5), 1052\u20131060 (2006)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"12_CR16","doi-asserted-by":"crossref","unstructured":"Levine, J.A., Jadhav, S., Bhatia, H., Pascucci, V., Bremer, P.-T.: A quantized boundary representation of 2D flow. Comput. Graph. Forum (EuroVis Proc.) 31(3pt1), 945\u2013954 (2012)","DOI":"10.1111\/j.1467-8659.2012.03087.x"},{"key":"12_CR17","volume-title":"Constructing discrete Morse functions","author":"T. Lewiner","year":"2002","unstructured":"Lewiner, T.: Constructing discrete Morse functions. Master\u2019s thesis, Department of Mathematics, PUC-Rio (2002)"},{"key":"12_CR18","doi-asserted-by":"crossref","unstructured":"Maxwell, J.C.: On hills and dales. Lond. Edinb. Dublin Philos. Mag. J. Sci. XL, 421\u2013427 (1870)","DOI":"10.1080\/14786447008640422"},{"key":"12_CR19","doi-asserted-by":"crossref","unstructured":"Polthier, K., Preu\u00df, E.: Identifying vector fields singularities using a discrete Hodge decomposition. In: Hege, H.C., Polthier, K. (eds.) Mathematical Visualization III, pp. 112\u2013134. Springer Verlag (2003)","DOI":"10.1007\/978-3-662-05105-4_6"},{"key":"12_CR20","doi-asserted-by":"crossref","unstructured":"Reininghaus, J., Hotz, I.: Combinatorial 2d vector field topology extraction and simplification. In: Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications. Mathematics and Visualization, pp. 103\u2013114. Springer, Berlin (2011)","DOI":"10.1007\/978-3-642-15014-2_9"},{"key":"12_CR21","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-642-23175-9_1","volume-title":"Topological Methods in Data Analysis and Visualization II. Mathematics and Visualization","author":"J. Reininghaus","year":"2012","unstructured":"Reininghaus, J., Hotz, I.: Computational discrete Morse theory for divergence-free 2d vector fields. In: Peikert, R., Hauser, H., Carr, H., Fuchs, R. (eds.) Topological Methods in Data Analysis and Visualization II. Mathematics and Visualization, pp. 3\u201314. Springer, Berlin\/Heidelberg (2012)"},{"key":"12_CR22","doi-asserted-by":"publisher","first-page":"1433","DOI":"10.1109\/TVCG.2010.235","volume":"17","author":"J. Reininghaus","year":"2011","unstructured":"Reininghaus, J., Lowen, C., Hotz, I.: Fast combinatorial vector field topology. IEEE Trans. Vis. Comput. Graph. 17, 1433\u20131443 (2011)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"12_CR23","unstructured":"Reininghaus, J., Gunther, D., Hotz, I., Weinkauf, T., Seidel, H.-P.: Combinatorial gradient fields for 2d images with empirically convergent separatrices, arxiv, 1(1208.6523) (2012)"},{"issue":"8","key":"12_CR24","doi-asserted-by":"publisher","first-page":"1646","DOI":"10.1109\/TPAMI.2011.95","volume":"33","author":"V. Robins","year":"2011","unstructured":"Robins, V., Wood, P., Sheppard, A.: Theory and algorithms for constructing discrete Morse complexes from grayscale digital images. IEEE Trans. Pattern Anal. Mach. Intell. 33(8), 1646\u20131658 (2011)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"12_CR25","doi-asserted-by":"crossref","unstructured":"Shivashankar, N., Natarajan, V.: Parallel computation of 3d Morse-Smale complexes. Comput. Graph. Forum 31(3pt1), 965\u2013974 (2012)","DOI":"10.1111\/j.1467-8659.2012.03089.x"},{"key":"12_CR26","doi-asserted-by":"crossref","unstructured":"Shivashankar, N., Natarajan, V.: Parallel computation of 3D Morse-Smale complexes. Comp. Graph. Forum 31(3pt1), 965\u2013974 (2012). doi:10.1111\/j.1467-8659.2012.03089.x","DOI":"10.1111\/j.1467-8659.2012.03089.x"},{"issue":"1","key":"12_CR27","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1111\/j.1365-2966.2011.18394.x","volume":"414","author":"T. Sousbie","year":"2011","unstructured":"Sousbie, T.: The persistent cosmic web and its filamentary structure - i. Theory and implementation. Mon. Not. R. Astron. Soc. 414(1), 350\u2013383 (2011)","journal-title":"Theory and implementation. Mon. Not. R. Astron. Soc."},{"issue":"2","key":"12_CR28","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1111\/j.1365-2966.2008.14244.x","volume":"393","author":"T. Sousbie","year":"2009","unstructured":"Sousbie, T., Colombi, S., Pichon, C.: The fully connected n-dimensional skeleton: probing the evolution of the cosmic web. Mon. Not. R. Astron. Soc. 393(2), 457\u2013477 (2009)","journal-title":"Mon. Not. R. Astron. Soc."},{"issue":"6","key":"12_CR29","doi-asserted-by":"publisher","first-page":"938","DOI":"10.1109\/TVCG.2011.88","volume":"18","author":"A. Szymczak","year":"2012","unstructured":"Szymczak, A., Zhang, E.: Robust Morse decompositions of piecewise constant vector fields. IEEE Trans. Vis. Comput. Grap. 18(6), 938\u2013951 (2012)","journal-title":"IEEE Trans. Vis. Comput. Grap."},{"issue":"3","key":"12_CR30","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1145\/882262.882290","volume":"22","author":"Y. Tong","year":"2003","unstructured":"Tong, Y., Lombeyda, S., Hirani, A.N., Desbrun, M.: Discrete multiscale vector field decomposition. ACM Trans. Graph. 22(3), 445\u2013452 (2003)","journal-title":"ACM Trans. Graph."},{"key":"12_CR31","volume-title":"Feature detection in vector fields using the Helmholtz-Hodge decomposition","author":"A. Wiebel","year":"2004","unstructured":"Wiebel, A.: Feature detection in vector fields using the Helmholtz-Hodge decomposition. Diplomarbeit, University of Kaiserslautern (2004)"}],"container-title":["Mathematics and Visualization","Topological and Statistical Methods for Complex Data"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-44900-4_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T04:01:25Z","timestamp":1676001685000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-662-44900-4_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,3]]},"ISBN":["9783662448991","9783662449004"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-44900-4_12","relation":{},"ISSN":["1612-3786","2197-666X"],"issn-type":[{"type":"print","value":"1612-3786"},{"type":"electronic","value":"2197-666X"}],"subject":[],"published":{"date-parts":[[2014,11,3]]},"assertion":[{"value":"3 November 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}