The Adaptive Topology of a Digital Image

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jun 2012Publisher:IEEEJournal:2012 Ninth International Symposium on Voronoi Diagrams in Science and Engineering

Authors: Herbert Edelsbrunner; Olga Symonova;

doi: 10.1109/isvd.2012.11

The Adaptive Topology of a Digital Image

- Summary
- Metrics

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.

Related Organizations

Institute of Science and Technology Austria
Austria
Duke University
United States

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	4
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

Found an issue? Give us feedback

4

Average

Top 10%

Fields of Science (4) View all

Fields of Science