DocumentCode
2836270
Title
The Adaptive Topology of a Digital Image
Author
Edelsbrunner, Herbert ; Symonova, Olga
Author_Institution
Inst. of Sci. & Technol. Austria, Klosterneuburg, Austria
fYear
2012
fDate
27-29 June 2012
Firstpage
41
Lastpage
48
Abstract
In order to enjoy a digital version of the Jordan Curve Theorem, it is common to use the closed topology for the foreground and the open topology for the background of a 2-dimensional binary image. In this paper, we introduce a single topology that enjoys this theorem for all thresholds decomposing a real-valued image into foreground and background. This topology is easy to construct and it generalizes to n-dimensional images.
Keywords
curve fitting; image segmentation; topology; 2-dimensional binary image; Jordan curve theorem; adaptive topology; digital image; real-valued image; Voronoi tessellations; cubical subdivisions; digital topology; homology; image processing; persistence; perturbations;
fLanguage
English
Publisher
ieee
Conference_Titel
Voronoi Diagrams in Science and Engineering (ISVD), 2012 Ninth International Symposium on
Conference_Location
New Brunswick, NJ
Print_ISBN
978-1-4673-1910-2
Type
conf
DOI
10.1109/ISVD.2012.11
Filename
6257655
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