{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T15:24:16Z","timestamp":1759073056926},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642155819"},{"type":"electronic","value":"9783642155826"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-15582-6_35","type":"book-chapter","created":{"date-parts":[[2010,9,10]],"date-time":"2010-09-10T09:15:44Z","timestamp":1284110144000},"page":"198-208","source":"Crossref","is-referenced-by-count":13,"title":["TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory"],"prefix":"10.1007","author":[{"given":"Jan","family":"Reininghaus","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"G\u00fcnther","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ingrid","family":"Hotz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steffen","family":"Prohaska","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans-Christian","family":"Hege","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"35_CR1","unstructured":"Aim@Shape, http:\/\/shapes.aim-at-shape.net\/"},{"key":"35_CR2","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1080\/14786445908642760","volume":"18","author":"A. Cayley","year":"1859","unstructured":"Cayley, A.: On contour and slope lines. The London, Edinburg and Dublin Philosophical Magazine and Journal of Science\u00a018, 264\u2013268 (1859)","journal-title":"The London, Edinburg and Dublin Philosophical Magazine and Journal of Science"},{"issue":"4","key":"35_CR3","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1109\/TMI.2005.844159","volume":"24","author":"J. Cebral","year":"2005","unstructured":"Cebral, J., Castro, M., Appanaboyina, S., Putman, C., Millan, D., Frangi, A.: Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Transactions on Medical Imaging\u00a024(4), 457\u2013467 (2005)","journal-title":"IEEE Transactions on Medical Imaging"},{"issue":"1-3","key":"35_CR4","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/S0012-365X(99)00258-7","volume":"217","author":"M.K. Chari","year":"2000","unstructured":"Chari, M.K.: On discrete Morse functions and combinatorial decompositions. Discrete Math.\u00a0217(1-3), 101\u2013113 (2000)","journal-title":"Discrete Math."},{"issue":"4","key":"35_CR5","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1109\/TVCG.2007.1021","volume":"13","author":"G. Chen","year":"2007","unstructured":"Chen, G., Mischaikow, K., Laramee, R.S., Pilarczyk, P., Zhang, E.: Vector field editing and periodic orbit extraction using Morse decomposition. IEEE Transactions on Visualization and Computer Graphics\u00a013(4), 769\u2013785 (2007)","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"key":"35_CR6","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 complexes for piecewise linear 2-manifolds. Discrete Computational Geometry\u00a030, 87\u2013107 (2003)","journal-title":"Discrete Computational Geometry"},{"issue":"4","key":"35_CR7","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/PL00004638","volume":"228","author":"R. Forman","year":"1998","unstructured":"Forman, R.: Combinatorial vector fields and dynamical systems. Mathematische Zeitschrift\u00a0228(4), 629\u2013681 (1998)","journal-title":"Mathematische Zeitschrift"},{"key":"35_CR8","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1006\/aima.1997.1650","volume":"134","author":"R. Forman","year":"1998","unstructured":"Forman, R.: Morse theory for cell complexes. Advances in Mathematics\u00a0134, 90\u2013145 (1998)","journal-title":"Advances in Mathematics"},{"key":"35_CR9","volume-title":"Algebraic Topology","author":"A. Hatcher","year":"2002","unstructured":"Hatcher, A.: Algebraic Topology. Cambridge University Press, Cambridge (2002)"},{"issue":"1","key":"35_CR10","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1137\/S0895480104445885","volume":"20","author":"M. Joswig","year":"2006","unstructured":"Joswig, M., Pfetsch, M.E.: Computing optimal Morse matchings. SIAM J. Discret. Math.\u00a020(1), 11\u201325 (2006)","journal-title":"SIAM J. Discret. Math."},{"key":"35_CR11","unstructured":"Lewiner, T.: Geometric discrete Morse complexes. Ph.D. thesis, Department of Mathematics, PUC-Rio (2005), advised by H. Lopes, G. Tavares"},{"key":"35_CR12","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1080\/14786447008640422","volume":"40","author":"J.C. Maxwell","year":"1870","unstructured":"Maxwell, J.C.: On hills and dales. The London, Edinburg and Dublin Philosophical Magazine and Journal of Science\u00a040, 421\u2013425 (1870)","journal-title":"The London, Edinburg and Dublin Philosophical Magazine and Journal of Science"},{"key":"35_CR13","unstructured":"Milnor, J.: Topology from the differentiable viewpoint. Univ. Press Virginia (1965)"},{"key":"35_CR14","doi-asserted-by":"crossref","unstructured":"Reininghaus, J., Hotz, I.: Combinatorial 2d vector field topology extraction and simplification. In: Pascucci, V., Tricoche, X., Hagen, H. (eds.) Topology in Visualization 2009 (to appear 2010)","DOI":"10.1007\/978-3-642-15014-2_9"},{"key":"35_CR15","doi-asserted-by":"crossref","unstructured":"Rosanwo, O., Petz, C., Prohaska, S., Hotz, I., Hege, H.C.: Dual streamline seeding. In: Eades, P., Ertl, T., Shen, H.W. (eds.) Proceedings of the IEEE Pacific Visualization Symposium, pp. 9\u201316 (2009)","DOI":"10.1109\/PACIFICVIS.2009.4906832"},{"key":"35_CR16","volume-title":"Combinatorial Optimization","author":"A. Schrijver","year":"2003","unstructured":"Schrijver, A.: Combinatorial Optimization. Springer, Heidelberg (2003)"},{"key":"35_CR17","doi-asserted-by":"crossref","unstructured":"Stalling, D., Westerhoff, M., Hege, H.C.: Amira: A highly interactive system for visual data analysis. In: The Visualization Handbook, pp. 749\u2013767 (2005)","DOI":"10.1016\/B978-012387582-2\/50040-X"},{"key":"35_CR18","unstructured":"Weinkauf, T.: Extraction of Topological Structures in 2D and 3D Vector Fields. Ph.D. thesis, University Magdeburg and Zuse Institute Berlin (2008)"},{"issue":"5","key":"35_CR19","doi-asserted-by":"publisher","first-page":"1519","DOI":"10.1111\/j.1467-8659.2009.01528.x","volume":"28","author":"T. Weinkauf","year":"2009","unstructured":"Weinkauf, T., G\u00fcnther, D.: Separatrix persistence: Extraction of salient edges on surfaces using topological methods. Computer Graphics Forum (Proc. SGP 2009)\u00a028(5), 1519\u20131528 (2009)","journal-title":"Computer Graphics Forum (Proc. SGP 2009)"},{"issue":"2","key":"35_CR20","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1109\/2945.928168","volume":"7","author":"T. Wischgoll","year":"2001","unstructured":"Wischgoll, T., Scheuermann, G.: Detection and visualization of closed streamlines in planar flows. IEEE Transactions on Visualization and Computer Graphics\u00a07(2), 165\u2013172 (2001)","journal-title":"IEEE Transactions on Visualization and Computer Graphics"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2010"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-15582-6_35.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T03:10:18Z","timestamp":1606187418000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-15582-6_35"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642155819","9783642155826"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-15582-6_35","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}