Fast Granulometry Operator for the 3D Identification of Cell Structures

Issue title: An overview of Tomography and Applications

Guest editors: Paolo Dulio, Andrea Frosini and Grzegorz Rozenberg

Article type: Research Article

Authors: Brun, Emmanuel^{a; *} | Ferrero, Claudio^b | Vicente, Jerome^c

Affiliations: [a] Universite Grenoble Alpes, Rayonnement Synchrotron et Recherche Medicale EA7442, 71, Avenue des Martyrs, CS40220, F-38043, Grenoble Cedex 9, France. emmanuel.brun@inserm.fr | [b] ESRF - The European Synchrotron, 71, Avenue des Martyrs, CS40220, F-38043, Grenoble, France | [c] IUSTI, UMR CNRS 7607, Universite AMU, Marseille, France

Correspondence: [*] Address for correspondence: Universite Grenoble Alpes, Rayonnement Synchrotron et Recherche Medicale EA7442, 71, Avenue des Martyrs, CS40220, F-38043, Grenoble Cedex 9, France

Abstract: The granulometry operator is a mathematical operator largely employed in the 3D analysis of porous media to estimate the sizes of the pores detected in pervious materials and tissues. Quantifying the total porosity volume in a material with only closed pores is a relatively easy task. A simple numerical analysis of connected void or fluid phase components enables one to obtain such a volume. Unfortunately, for materials and/or tissues with (partly) open porosity granulometry calculations might become excessively time and memory consuming. In this work we suggest a method by means of which the open porosity map can be rapidly calculated on the basis of a pre-calculated distance map.

Keywords: mathematical morphology, granulometry, 3D images

DOI: 10.3233/FI-2017-1590

Journal: Fundamenta Informaticae, vol. 155, no. 4, pp. 363-372, 2017