A scale space based persistence measure for critical points in 2D scalar fields

© 2011 IEEE

Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1996. - 17(2011), 12 vom: 01. Dez., Seite 2045-52
1. Verfasser: Reininghaus, Jan (VerfasserIn)
Weitere Verfasser: Kotava, Natallia, Günther, David, Kasten, Jens, Hagen, Hans, Hotz, Ingrid
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2011
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article
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520 |a This paper introduces a novel importance measure for critical points in 2D scalar fields. This measure is based on a combination of the deep structure of the scale space with the well-known concept of homological persistence. We enhance the noise robust persistence measure by implicitly taking the hill-, ridge- and outlier-like spatial extent of maxima and minima into account. This allows for the distinction between different types of extrema based on their persistence at multiple scales. Our importance measure can be computed efficiently in an out-of-core setting. To demonstrate the practical relevance of our method we apply it to a synthetic and a real-world data set and evaluate its performance and scalability 
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700 1 |a Kotava, Natallia  |e verfasserin  |4 aut 
700 1 |a Günther, David  |e verfasserin  |4 aut 
700 1 |a Kasten, Jens  |e verfasserin  |4 aut 
700 1 |a Hagen, Hans  |e verfasserin  |4 aut 
700 1 |a Hotz, Ingrid  |e verfasserin  |4 aut 
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