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020 _a9783319040998
_9978-3-319-04099-8
024 7 _a10.1007/978-3-319-04099-8
_2doi
035 _ato000542611
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA76.9.I52
072 7 _aPBV
_2bicssc
072 7 _aMAT013000
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082 0 4 _a004
_223
245 1 0 _aTopological Methods in Data Analysis and Visualization III
_helectronic resource
_bTheory, Algorithms, and Applications /
_cedited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, Ronald Peikert.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aX, 279 p. 98 illus., 69 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMathematics and Visualization,
_x1612-3786
505 0 _aPart I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P.-T. Bremer and V. Pascucci -- 2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang -- 3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak -- 4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann -- Part II Efficient Computation of Topology -- 5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr -- 6 Distributed Contour Trees: D. Morozov and G.H. Weber -- 7 Clear and Compress: Computing Persistent Homology in Chunks: M. Kerber, J. Reininghaus and U. Bauer -- 8 Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields: N.  Brunhart‐Lupo and A. Szymczak -- Part III Simplification, Approximation and Distance Measures -- 9 Notes on the Simplification of the Morse-Smale Complex: D. Günther, J. Reininghaus, H.-P. Seidel and T. Weinkauf -- 10 Measuring The Distance Between Merge Trees: K. Beketayev, D. Yeliussizov, D. Morozov, G.H. Weber and B. Hamann -- 11 Topological Integrity for Dynamic Spline Models During Visualization of Big Data: H. P. Cassidy, Th. J. Peters, H. Ilies and K.E. Jordan -- Part IV Time-Dependent Analysis: 12 A Comparison of Finite-Time and Finite-Size Lyapunov Exponents: R. Peikert, A. Pobitzer, F. Sadlo and B. Schindler -- 13 Development of an efficient and flexible pipeline for Lagrangian coherent structure computation: S. Ameli, Y. Desai and S. Shadden -- 14 Topological Features in Time-Dependent Advection-Diffusion Flow: F. Sadlo, G. Karch and Th. Ertl -- Part V Applications: 15 Definition, Extraction, and Validation of Pore Structures in Porous Media: U. Homberg, D. Baum, A. Wiebel, S. Prohaska and H -- Ch. Hege -- 16 Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel: V. Zobel, J. Reininghaus and I. Hotz -- 17 Topological Features in Glyph-Based Corotation Visualization: S. Shafii, H. Obermaier, B. Hamann and K. Joy.
520 _aThis collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.
650 0 _amathematics.
_9566183
650 0 _aComputer vision.
_9274100
650 0 _aOptical pattern recognition.
_9304126
650 0 _aGlobal analysis (Mathematics).
_9303497
650 0 _aVisualization.
_9303600
650 0 _aGeometry.
_9303683
650 0 _aTopology.
_9303685
650 1 4 _aMathematics.
_9566184
650 2 4 _aVisualization.
_9303600
650 2 4 _aanalysis.
_9303498
650 2 4 _aTopology.
_9303685
650 2 4 _aGeometry.
_9303683
650 2 4 _aImage Processing and Computer Vision.
_9303601
650 2 4 _aPattern Recognition.
_9304129
700 1 _aBremer, Peer-Timo.
_eeditor.
_9448212
700 1 _aHotz, Ingrid.
_eeditor.
_9448213
700 1 _aPascucci, Valerio.
_eeditor.
_9326219
700 1 _aPeikert, Ronald.
_eeditor.
_9448214
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aMathematics and Visualization,
_9318738
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-04099-8
912 _aZDB-2-SMA
999 _c400035