TY - GEN
T1 - Topology based selection and curation of level sets
AU - Bajaj, Chandrajit
AU - Gillette, Andrew
AU - Goswami, Samrat
N1 - Funding Information:
This research was supported in part by NSF grants IIS-0325550, CNS-0540033 and NIH contracts P20-RR020647, R01-9M074258, R01-GM07308, R01-EB004873.
Publisher Copyright:
© 2009, Springer Heidelberg. All rights reserved.
PY - 2009
Y1 - 2009
N2 - The selection of appropriate level sets for the quantitative visualization of three dimensional imaging or simulation data is a problem that is both fundamental and essential. The selected level set needs to satisfy several topological and geometric constraints to be useful for subsequent quantitative processing and visualization. For an initial selection of an isosurface, guided by contour tree data structures, we detect the topological features by computing stable and unstable manifolds of the critical points of the distance function induced by the isosurface. We further enhance the description of these features by associating geometric attributes with them. We then rank the attributed features and provide a handle to them for curation of the topological anomalies.
AB - The selection of appropriate level sets for the quantitative visualization of three dimensional imaging or simulation data is a problem that is both fundamental and essential. The selected level set needs to satisfy several topological and geometric constraints to be useful for subsequent quantitative processing and visualization. For an initial selection of an isosurface, guided by contour tree data structures, we detect the topological features by computing stable and unstable manifolds of the critical points of the distance function induced by the isosurface. We further enhance the description of these features by associating geometric attributes with them. We then rank the attributed features and provide a handle to them for curation of the topological anomalies.
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U2 - 10.1007/978-3-540-88606-8_4
DO - 10.1007/978-3-540-88606-8_4
M3 - Conference contribution
AN - SCOPUS:84978931972
SN - 9783319912738
SN - 9783540250326
SN - 9783540250760
SN - 9783540332749
SN - 9783540886051
SN - 9783540886051
SN - 9783642150135
SN - 9783642216077
SN - 9783642231742
SN - 9783642273421
SN - 9783642341403
SN - 9783642543005
T3 - Mathematics and Visualization
SP - 45
EP - 58
BT - Mathematics and Visualization
A2 - Hege, Hans-Christian
A2 - Scheuermann, Gerik
A2 - Polthier, Konrad
PB - Springer Heidelberg
T2 - 2nd International Workshop on Topological Methods in Visualization, 2007
Y2 - 4 March 2007 through 6 March 2007
ER -