NDLI: Contour tree connectivity of binary images from algebraic graph theory

Content Provider	IEEE Xplore Digital Library
Author	Aydogan, D.B. Hyttinen, J.
Copyright Year	2013
Description	Author affiliation: Dept. of Electron. & Commun. Eng. & BioMediTech, Tampere Univ. of Technol., Tampere, Finland (Aydogan, D.B.; Hyttinen, J.)
Abstract	We propose a novel feature for binary images that provides connectivity information by taking into account the proximity of connected components and cavities. We start by applying the Euclidean distance transform and then we compute the contour tree. Finally, we assign the normalized algebraic connectivity of a contour tree derivative as a feature for connectivity. Our algorithm can be applied to any dimensions of data as well as topology. And the resultant connectivity index is a single real number between 0 and 1. We test and demonstrate interesting properties of our approach on various 2D and 3D images. With its intriguing properties, the proposed index is widely applicable for studying binary morphology. Especially, it is complementary to Euler number for studying connectivity of microstructures of materials such as soil, paper, filter, food products as well as biomaterials and biological tissues.
Starting Page	3054
Ending Page	3058
File Size	789868
Page Count	5
File Format	PDF
ISBN	9781479923410
DOI	10.1109/ICIP.2013.6738629
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-09-15
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	binary morphology connectivity contour tree feature extraction algebraic graph theory
Content Type	Text
Resource Type	Article

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