Approximation of Pore Space with Ellipsoids: A Comparison of a Geometrical Method with a Statistical one

Lucie Druoton, Dominique Michelucci, Olivier Monga, Abdelaziz Bouras, Sebti Foufou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We work with tomographic images of pore space in soil. The images have large dimensions and so in order to speed-up biological simulations (as drainage or diffusion process in soil), we want to describe the pore space with a number of geometrical primitives significantly smaller than the number of voxels in pore space. In this paper, we use the curve skeleton of a volume to segment it into some regions. We describe the method to compute the curve skeleton and to segment it with a simple segment approximation. We approximate each obtained region with an ellipsoid. The set of final ellipsoids represents the geometry of pore space and will be used in future simulations. We compare this method which we call geometrical method with the one described in the paper [8], which we name statistical method (using k-means algorithm).

Original languageEnglish (US)
Title of host publicationProceedings - 14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018
EditorsRichard Chbeir, Gabriella Sanniti di Baja, Luigi Gallo, Kokou Yetongnon, Albert Dipanda, Modesto Castrillon-Santana
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages84-90
Number of pages7
ISBN (Electronic)9781538693858
DOIs
StatePublished - May 3 2019
Event14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018 - Las Palmas de Gran Canaria, Spain
Duration: Nov 26 2018Nov 29 2018

Publication series

NameProceedings - 14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018

Conference

Conference14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018
CountrySpain
CityLas Palmas de Gran Canaria
Period11/26/1811/29/18

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Keywords

  • Curve skeleton
  • Ellipsoids
  • Pore space approximation
  • Segmentation

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Vision and Pattern Recognition

Cite this

Druoton, L., Michelucci, D., Monga, O., Bouras, A., & Foufou, S. (2019). Approximation of Pore Space with Ellipsoids: A Comparison of a Geometrical Method with a Statistical one. In R. Chbeir, G. S. di Baja, L. Gallo, K. Yetongnon, A. Dipanda, & M. Castrillon-Santana (Eds.), Proceedings - 14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018 (pp. 84-90). [8706176] (Proceedings - 14th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SITIS.2018.00023