Persistence-sensitive simplification of functions on 2-manlfolds

Proceedings of the Annual Symposium on Computational Geometry

Volumn 2006, Issue , 2006, Pages 127-134

  Edelsbrunner, Herbert ^a   Morozov, Dmitriy ^b   Pascucci, Valerio ^c  

^a DUKE UNIVERSITY   (United States)

^b Duke University   (United States)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Algorithms; Theory

Indexed keywords

ALGORITHMS; FUNCTIONS; PROBLEM SOLVING; THEORY; TOPOLOGY;

FUNCTION SIMPLIFICATION; PERSISTENCE-SENSITIVE SIMPLIFICATION;

FUNCTION EVALUATION;

EID: 33748043311     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. PEER-TIMO BREMER, HERBERT EDELSBRUNNER, BERND HAMANN AND VALERIO PASCUCCI. Topological hierarchy for functions on triangulated surfaces. IEEE Trans. Vis. Comput. Graphics, 10:385-396, 2004.
2. DAVID COHEN-STEINER, HERBERT EDELSBRUNNER AND JOHN HARER. Stability of persistence diagrams. In Proc. 21st Ann. Sympos. Comput. Geom., pages 263-271, New York, NY, USA, 2005.
3. DAVID COHEN-STEINER, HERBERT EDELSBRUNNER AND DMITRIY MOROZOV. Vines and vineyards by updating persistence in linear time. To appear in Proc. 22st Ann. Sympos. Comput. Geom., Sedona, Arizona, USA, 2006.
4. HERBERT EDELSBRUNNER, JOHN HARER AND AFRA ZOMORODIAN. Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Discrete Comput. Geom., 30: 87-107, 2003.
5. HERBERT EDELSBRUNNER, DAVID LETSCHER AND AFRA ZOMORODIAN. Topological persistence and simplification. Discrete Comput. Geom., 28:511-533, 2002.
6. ATTILA GYULASSY, VIJAY NATARAJAN, VALERIO PASCUCCI, PEER-TIMO BREMER AND BERND HAMANN. Topology-based simplification for feature extraction from 3D scalar fields. In Proc. IEEE Conf. Visualization, pages 275-280, 2005.
7. ALLEN HATCHER. Algebraic Topology. Cambridge University Press, Cambridge, England, 2001.
8. MASAKI HILAGA, YOSHIHISA SHINAGAWA, TAKU KOHMURA AND TOSIYASU L. KUNII. Topology matching for fully automatic similarity estimation of 3D shapes. In Proc. 28th Ann. Conf. on Comput. Graph, and Interact. Team. (SIGGRAPH), pages 203-212, 2001.
9. JAMES R. MUNKRES. Elements of Algebraic Topology. Addison Wesley, Redwood City, California, 1984.
10. GEORGES REEB. Sur les points singuliers d'une forme de Pfaff complèment intégrable ou d'une fonction numérique. Comptes Rendus de L'Académie des Séances, 222:847-849, 1946.
11. AFRA ZOMORODIAN AND GUNNAR CARLSSON. Computing persistent homology. Discrete Comput. Geom., 33:249-274, 2005.