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Discrete 3D tools applied to 2D grey-level images
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
Interfaculty Units, Centre for Image Analysis. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
Interfaculty Units, Centre for Image Analysis. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
2005 (English)In: Image Analysis and Processing - ICIAP 2005: 13th International Conference, 2005, 229-236 p.Conference paper, Published paper (Refereed)
Abstract [en]

2D grey-level images are interpreted as 3D binary images, where the grey-level plays the role of the third coordinate. In this way, algorithms devised for 3D binary images can be used to analyse 2D grey-level images. Here, we present three such algorithms. The first algorithm smoothes a 2D grey-level image by flattening its geometrical and grey-level peaks while simultaneously filling in geometrical and grey-level valleys, regarded as non significant in the problem domain. The second algorithm computes an approximation of the convex hull of a 2D grey-level object, by building a covering polyhedron closely fitting the corresponding object in a 3D binary image. The result obtained is convex both from the geometrical point of view and as concerns grey-levels. The third algorithm skeletonizes a 2D grey-level object by skeletonizing the top surface of the object in the corresponding 3D binary image.

Place, publisher, year, edition, pages
2005. 229-236 p.
Identifiers
URN: urn:nbn:se:uu:diva-74502ISBN: 3-540-28869-4 (print)OAI: oai:DiVA.org:uu-74502DiVA: diva2:102412
Available from: 2005-10-03 Created: 2005-10-03

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Sanniti di Baja, GabriellaNyström, IngelaBorgefors, Gunilla

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