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Abstract: We consider scientific datasets that describe density functions over three-dimensional geometric domains. Such datasets are often large and coarsened representations are needed for visualization and analysis. Assuming a tetrahedral mesh representation, we construct such representations with a simplification algorithm that combines three goals: the approximation of the function, the preservation of the mesh topology, and the improvement of the mesh quality. The third goal is achieved with a... (Update)
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BibTeX entry: (Update)
V. Natarajan and H. Edelsbrunner, "Simplification of threedimensional density maps," IEEE Transactions on Visualization and Computer Graphics, vol. 10, no. 5, pp. 587--597, 2004. http://citeseer.ist.psu.edu/article/natarajan04simplification.html More
@misc{ natarajan04simplification,
author = "V. Natarajan and H. Edelsbrunner",
title = "Simplification of threedimensional density maps",
text = "V. Natarajan and H. Edelsbrunner, Simplification of threedimensional density
maps, IEEE Transactions on Visualization and Computer Graphics, vol. 10,
no. 5, pp. 587--597, 2004.",
year = "2004",
url = "citeseer.ist.psu.edu/article/natarajan04simplification.html" }
Citations (may not include all citations):430 Progressive meshes - HOPPE - 1996
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298 Surface simplification using quadric error metrics - GARLAND, HECKBERT - 1997
178 Elements of Algebraic Topology (context) - MUNKRES - 1984
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38 Topological persistence and simplification - EDELSBRUNNER, LETSCHER et al. - 2002
33 New quadric metric for simplifying meshes with appearance at.. - HOPPE - 1999
30 Progressive tetrahedralizations - STAADT, GROSS - 1998
29 Simplification of tetrahedral meshes (context) - TROTTS, HAMANN et al. - 1998
26 Topology preserving edge contraction - DEY, EDELSBRUNNER et al. - 1999
25 Hierarchical Morse-Smale complexes for piecewise linear 2-ma.. (context) - EDELSBRUNNER, HARER et al. - 2003
22 Topology preserving and controlled topology simplifying mult.. - GERSTNER, PAJAROLA - 2000
19 Simplification of tetrahedral meshes with accurate error eva.. (context) - CIGNONI, CONSTANZA et al. - 2000
15 Morse-Smale complexes for piecewise linear 3-manifolds - EDELSBRUNNER, HARER et al. - 2003
9 Constructing hierarchies for triangle meshes (context) - GIENG, HAMANN et al. - 1998
8 Progressive simplification of tetrahedral meshes preserving .. - CHIANG, LU - 2003
8 A multi-resolution data structure for twodimensional Morse f.. - BREMER, EDELSBRUNNER et al. - 2003
7 Shapes and Implementations in ThreeDimensional Geometry (context) - UCKE - 1993
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6 Modeling in Computer Graphics: Methods and Applications (context) - ROSSIGNAC, BORREL et al. - 1993
Documents on the same site (http://graphics.idav.ucdavis.edu/~vijayn/research/research.html): More
Topological Analysis of Scalar Functions for Scientific Data.. - Natarajan (2004) (Correct)
Loops in Reeb Graphs of 2-Manifolds - Cole-McLaughlin, Edelsbrunner.. (2004) (Correct)
Morse-Smale Complexes for Piecewise Linear 3-Manifolds - Edelsbrunner, Harer.. (2003) (Correct)
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