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Morse Set Classification and Hierarchical Refinement Using Conley Index
2012
IEEE Transactions on Visualization and Computer Graphics
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Index Terms-Morse decomposition, vector field topology, upper bound of Conley index, topology refinement, hierarchical refinement. ...
We make use of an upper bound for the Conley index, provided by the Betti numbers of an index pair for a translation along the flow, to classify the Morse sets. ...
This work was supported by NSF IIS-0546881 and CCF-0830808 awards, and in part, by EPSRC research grant EP/F002335/1. ...
doi:10.1109/tvcg.2011.107
pmid:21690641
fatcat:6srcgsrnbzawhhmgixnltbruk4
Cover1
2012
IEEE Transactions on Visualization and Computer Graphics
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Kirby ................................................................................................................................... 753 Morse Set Classification and Hierarchical Refinement Using ...
Conley Index G. ...
doi:10.1109/tvcg.2012.81
fatcat:xudny3xiufaq3ng4flajyjbx3q
Robust Morse Decompositions of Piecewise Constant Vector Fields
2012
IEEE Transactions on Visualization and Computer Graphics
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In addition, we describe a Morse set classification framework which we use to color code the Morse sets in order to enhance the visualization. ...
Index Terms-Morse decomposition, vector field topology. Ç 938 ...
Laramee and Guoning Chen for data sets used in Section 7. We are also grateful to Guoning Chen and Qingqing Deng for help with Figs. 15 and 16. ...
doi:10.1109/tvcg.2011.88
pmid:21747131
fatcat:io7jlnj3uzab5kklmothl2jh4a
Fair morse functions for extracting the topological structure of a surface mesh
2004
ACM Transactions on Graphics
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We make Morse theory on meshes more robust with teflon saddles and flat edge collapses, and devise a new "intermediate value propagation" multigrid solver for finding fair Morse functions that runs in ...
This paper solves a relaxed form of Laplace's equation to find a "fair" Morse function with a user-controlled number and configuration of critical points. ...
Thanks to Zoe Wood for the genus-6 Buddha model, Patrick Lacz for the manifold teapot, Jesse Hall for video production, and Rob Ghrist for introducing us to the Conley index. ...
doi:10.1145/1015706.1015769
fatcat:jtvm744gsvgnbjtlqlrgfsr5ua
Fair morse functions for extracting the topological structure of a surface mesh
2004
ACM SIGGRAPH 2004 Papers on - SIGGRAPH '04
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We make Morse theory on meshes more robust with teflon saddles and flat edge collapses, and devise a new "intermediate value propagation" multigrid solver for finding fair Morse functions that runs in ...
This paper solves a relaxed form of Laplace's equation to find a "fair" Morse function with a user-controlled number and configuration of critical points. ...
Thanks to Zoe Wood for the genus-6 Buddha model, Patrick Lacz for the manifold teapot, Jesse Hall for video production, and Rob Ghrist for introducing us to the Conley index. ...
doi:10.1145/1186562.1015769
fatcat:6bjscxc54rg3xp2gz53ewffb4a
Salient critical points for meshes
2007
Proceedings of the 2007 ACM symposium on Solid and physical modeling - SPM '07
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We give a direct application to the hierarchical topological representation for meshes by combining the salient critical points with the Morse-Smale complex. ...
In this paper, we use the idea of mesh saliency as a measure of regional importance for meshes. ...
Acknowledgements This work was supported in part by the National Institute of General Medical Sciences of the National Institutes of Health (R01 GM075004) awarded to Professor Kihara and Professor Ramani ...
doi:10.1145/1236246.1236285
dblp:conf/sma/LiuLKR07
fatcat:hch6usjgabdnpllpfl3nl65w5q
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
[article]
2013
arXiv
pre-print
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obstructions to planarity and embeddings of partially planar domains. ...
, and we give examples of contact manifolds that have planar k-torsion for any k > 2 but no Giroux torsion. ...
theorem for holomorphic currents, and Janko Latschev and Patrick Massot for several useful comments on earlier versions of the paper. ...
arXiv:1009.2746v3
fatcat:ohxddvv2bfdlvajdc73jqv2nl4
Fourier's Method of Linear Programming and Its Dual
1986
The American mathematical monthly
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37B30
Index theory, Morse-Conley indices
37B35
Gradient-like and recurrent behavior; isolated (locally maximal)
invariant sets
37B40
Topological entropy
37B45
Continua theory in dynamics
37B50 ...
It will be extremely useful for both users and classifiers to familiarize themselves with the entire classification system and thus to become aware of all the classifications of possible interest to them ...
etc.) 83-01 Instructional exposition (textbooks, tutorial papers, etc.) 83-02 Research exposition (monographs, survey articles) 83-03 Historical (must also be assigned at least one classification number ...
doi:10.2307/2322281
fatcat:yvhgyh2epbcwdoqdhuaopkcrue
Dynamics of Patterns
2012
Oberwolfach Reports
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This workshop brought together researchers from these diverse areas to bridge existing gaps and to facilitate interaction. (2000) : 35B40, 35P05, 65M12. Mathematics Subject Classification ...
Mathematical descriptions and analyses draw from a variety of fields such as partial differential equations of various types, differential and difference equations on networks and lattices, multi-particle ...
Using a Poincaré compactification and the Conley index at infinity [2] , we are able to determine that projections of the Fučik eigenfunctions to infinite norm compose a subset of the equilibria at infinity ...
doi:10.4171/owr/2012/60
fatcat:b4zptysvy5b27peqdgddeaev74
Dynamics of Patterns
2008
Oberwolfach Reports
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This workshop brought together researchers from these diverse areas to bridge existing gaps and to facilitate interaction. (2000) : 35B40, 35P05, 65M12. Mathematics Subject Classification ...
Mathematical descriptions and analyses draw from a variety of fields such as partial differential equations of various types, differential and difference equations on networks and lattices, multi-particle ...
Using a Poincaré compactification and the Conley index at infinity [2] , we are able to determine that projections of the Fučik eigenfunctions to infinite norm compose a subset of the equilibria at infinity ...
doi:10.4171/owr/2008/57
fatcat:cdoyqz5rzngbdi7pgz2ixcsjly
Volunteer Meanings in the Making of Place
[chapter]
2012
Place-Based Conservation
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Rather it emerges from and is refined and validated by systems of networked learners. ...
McGuire (2007) presents the same process in a somewhat modified form for use by teams in hierarchical organizations like business and government. ...
doi:10.1007/978-94-007-5802-5_9
fatcat:dfxenftyrvha5lk2qsxqy74wv4
2-D blind deconvolution by partitioning into coupled 1-D problems using discrete Radon transforms
Proceedings., International Conference on Image Processing
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It proves the graph representability of the discrete energy function and optimizes it using graph cuts. ...
CP3 Image Restoration Using Bounded Variation and Sobolev Spaces of Negative Differentiability We recover an unknown image from a blurry and noisy image f. ...
The non-orthogonal nature of regions and substances in classification leads to the use of frames. ...
doi:10.1109/icip.1995.537409
dblp:conf/icip/AhnY95
fatcat:ecos74jfmfgonkuk5gsq2essp4
'Parallel Worlds' - Clusters for a Theory of Concepts of Communications: Historical Intercultural and Cultural Comparative Studies of Perspectives of National and Transnational Conditions, Values, Concepts, and Terms of 'Communication' - 'Orality' - 'Literacy' - 'Rhetoric' - 'Media'
2008
Social Science Research Network
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It was marked by a variety of theories and classification of art styles. ...
Conley, Thomas M. "Stasis in Rhetorical Invention." In: Conley, Thomas M. Rhetoric in the European Tradition. New York: Longman 1990. Pp. 32-33. 73 Cf. Carter, Michael. ...
of form and meaning, and the psychology of syntax, metaphor, and diction both in your own writing and in the works of others. 1001 According to Heinle's Dictionary communication is an act of passing ...
doi:10.2139/ssrn.1227842
fatcat:4sffl3hstvc6ba6z5sufjopg6u
Evidence Based Practice for Information Professionals: a Handbook Biographies
2003
unpublished
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We, the editors, would like to invite you to examine this model with an open mind and attempt to identify its potential usefulness wthin your specific context. ...
management, its associated skills and technologies in centre stage in the delivery of appropriate and effective care. ...
' We've made the first faltering toddler's steps but we are a long way from adolescence and maturity.' ...
fatcat:6v3b7bjpovhuzchyfuq7b2zy2u
Ends, Norms, and Representations: Why ask "Why?" in Biology?
2018
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a barrier to the project of integrating biological work on Tinbergen's four questions. iii BIOGRAPHICAL SKETCH Brandon Conley attended Appalachian State University, near his home town of Wilkesboro, NC ...
In the final chapter, I develop a historical and philosophical interpretation of Ernst Mayr's distinction between proximate and ultimate causes and its relation to Niko Tinbergen's "four questions." ...
ACKNOWLEDGEMENTS I would like to acknowledge and thank five groups of people for their roles in the development in this dissertation. ...
doi:10.7298/x4zc813j
fatcat:4mwhqksdi5fplkskozrqntvysy
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