Geometric Approach to Hole Segmentation and Hole Closing in 3D Volumetric Objects

Authors:
Marcin Janaszewski;Michel Couprie;Laurent Babout
Affiliations:
Computer Engineering Department, Technical University of Łódź, Łódź, Poland 90-924;Université Paris-Est, LIGM, Equipe A3SI, ESIEE, Cité DESCARTES, Noisy le Grand CEDEX, France 93162;Computer Engineering Department, Technical University of Łódź, Łódź, Poland 90-924
Venue:
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Year:
2009

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Abstract

Hole segmentation (or hole filling) and hole closing in 3D volumetric objects, visualised in tomographic images, has many potential applications in material science and medicine. On the other hand there is no algorithm for hole segmentation in 3D volumetric objects as from the topological point of view a hole is not a 3D set. Therefore in the paper the authors present a new, geometrical approach to hole closing and hole filling in volumetric objects. Moreover an original and efficient, flexible algorithm of hole filling for volumetric objects is presented. The algorithm has been extensively tested on various types of 3D images. Some results of the algorithm application in material science for crack propagation analysis are also presented. The paper also includes discussion of the obtained results and the algorithm properties.