On the isomorphism between the medial axis and a dual of the Delaunay graph

Ojaswa Sharma, François Anton, Darka Mioc

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Abstract

In this paper, we show a graph isomorphism between a dual graph of the Delaunay graph of the sampled points and the medial axis of the sampled features. This dual graph captures the fact that two Delaunay triangles share two vertices or an edge. Then, we apply it to the computation of the medial axis of the features selected in an image. The computation of the medial axis of images is of interest in applications such as mapping, climatology, change detection, medicine, etc. This research work provides a way to automate the computation of the medial axis transform of the features of color 2D images. In color images, various features can be distinguished based on their color. The features are thus extracted as object borders, which are sampled in order to compute the medial axis transform. We present also a prototype application for the completely automated or semi-automated processing of (satellite) imagery and scanned maps. Applications include coastline extraction, extraction of fields, clear cuts, clouds, as well as heating or pollution monitoring and dense forest mapping among others.
Original languageEnglish
Title of host publicationSixth International Symposium on Voronoi Diagrams, 2009. ISVD '09 : ISVD 2009
Volume6
PublisherIEEE
Publication date2009
Pages89-95
ISBN (Print)978-1-4244-4769-5
DOIs
Publication statusPublished - 2009
Event6th International Symposium on Voronoi Diagrams in Science and Engineering - Technical University of Denmark, Kgs. Lyngby, Denmark
Duration: 23 Jun 200926 Jun 2009
Conference number: 6
http://www2.imm.dtu.dk/projects/ISVD/

Conference

Conference6th International Symposium on Voronoi Diagrams in Science and Engineering
Number6
LocationTechnical University of Denmark
CountryDenmark
CityKgs. Lyngby
Period23/06/200926/06/2009
Internet address

Bibliographical note

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