Image processing for the non-destructive characterization of porous media. Application to limestones and trabecular bones

Different image processing techniques have recently been investigated for the characterization of complex porous media, such as bones, stones and soils. Among these techniques, 3D thinning algorithms are generally used to extract a one-voxel-thick skeleton from 3D porous objects while preserving the topological information. Models based on simplified skeletons have been shown to be efficient in retrieving morphological information from large scale disordered objects not only at a global level but also at a local level. In this paper, we present a series of 3D skeleton-based image processing techniques for evaluating the micro-architecture of large scale disordered porous media. The proposed skeleton method combines curve and surface thinning methods with the help of an enhanced shape classification algorithm. Results on two different porous objects demonstrate the ability of the proposed method to provide significant topological and morphological information.

[1]  C L Benhamou,et al.  Side-to-side and within-side variability of 3D bone microarchitecture by conventional micro-computed tomography of paired iliac crest biopsies. , 2008, Bone.

[2]  Eric Markiewicz,et al.  Identification of the spongy bone mechanical behavior under compression loads: numerical simulation versus experimental results , 2007 .

[3]  Rachid Harba,et al.  Nouvelle approche de modélisation de milieux poreux. Application à l'os trabéculaire , 2005 .

[4]  Partha Pratim Das,et al.  On connectivity issues of ESPTA , 1990, Pattern Recognit. Lett..

[5]  Françoise Peyrin,et al.  A new method for analyzing local shape in three-dimensional images based on medial axis transformation , 2003, IEEE Trans. Syst. Man Cybern. Part B.

[6]  H. Gundersen,et al.  Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions. , 1993, Bone.

[7]  F. Topin,et al.  Flow Laws in Metal Foams: Compressibility and Pore Size Effects , 2008 .

[8]  Hadi Sadoghi Yazdi,et al.  Least mean square algorithm tuned by fuzzy c-mean for impulsive noise suppression of gray-level images , 2010 .

[9]  Sergi Grau,et al.  3D pore analysis of sedimentary rocks , 2011 .

[10]  R. Ketcham,et al.  Acquisition, optimization and interpretation of X-ray computed tomographic imagery: applications to the geosciences , 2001 .

[11]  Jean-Louis Rouet,et al.  A SIMPLE METHODOLOGY TO SEGMENT X-RAY TOMOGRAPHIC IMAGES OF A MULTIPHASIC BUILDING STONE , 2011 .

[12]  Felix W. Wehrli,et al.  A novel local thresholding algorithm for trabecular bone volume fraction mapping in the limited spatial resolution regime of in vivo MRI , 2005, IEEE Transactions on Medical Imaging.

[13]  Anders Kaestner,et al.  Imaging and image processing in porous media research , 2008 .

[14]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[15]  Bidyut Baran Chaudhuri,et al.  A new shape preserving parallel thinning algorithm for 3D digital images , 1997, Pattern Recognit..

[16]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[17]  R. Harba,et al.  Shape classification techniques for discrete 3D porous media. Application to trabecular bone , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[18]  F Peyrin,et al.  Subchondral bone micro-architectural alterations in osteoarthritis: a synchrotron micro-computed tomography study. , 2006, Osteoarthritis and cartilage.

[19]  Christine Chappard,et al.  Comparison of synchrotron radiation and conventional x-ray microcomputed tomography for assessing trabecular bone microarchitecture of human femoral heads. , 2006, Medical physics.

[20]  Sebastiano Impedovo,et al.  Analysis of Membership Functions for Voronoi-Based Classification , 2010, 2010 12th International Conference on Frontiers in Handwriting Recognition.

[21]  P. Rüegsegger,et al.  A new method for the model‐independent assessment of thickness in three‐dimensional images , 1997 .

[22]  Rachid Harba,et al.  A new 3D shape-dependant skeletonization method. Application to porous media , 2006, 2006 14th European Signal Processing Conference.

[23]  O Rozenbaum,et al.  3-D characterization of weathered building limestones by high resolution synchrotron X-ray microtomography. , 2011, The Science of the total environment.

[24]  Bidyut Baran Chaudhuri,et al.  3D Digital Topology under Binary Transformation with Applications , 1996, Comput. Vis. Image Underst..

[25]  Rachid Jennane,et al.  3D shape-dependent thinning method for trabecular bone characterization. , 2011, Medical physics.

[26]  E. Maire,et al.  Characterization of the morphology of cellular ceramics by 3D image processing of X-ray tomography , 2007 .

[27]  Veerle Cnudde,et al.  X-ray micro-CT used for the localization of water repellents and consolidants inside natural building stones , 2004 .

[28]  Marco Stampanoni,et al.  High resolution X-ray detector for synchrotron-based microtomography , 2002 .

[29]  P. Jacobs,et al.  Applications of X-ray computed tomography in the geosciences , 2003, Geological Society, London, Special Publications.

[30]  Emmanuel Le Trong,et al.  Simplification d'images 3D de matériaux poreux en vue de leur caractérisation physique , 2005 .

[31]  Rachid Harba,et al.  Hybrid Skeleton Graph Analysis of Disordered Porous Media. Application to Trabecular Bone , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[32]  Stephen C. Cowin,et al.  Anisotropic poroelasticity: fabric tensor formulation , 2004 .

[33]  R. Swennen,et al.  3D soil image characterization applied to hydraulic properties computation , 2003, Geological Society, London, Special Publications.

[34]  N. Burlion,et al.  X-ray microtomography: Application to microstructure analysis of a cementitious material during leaching process , 2006 .

[35]  J. Baruchel,et al.  X-Ray Tomography in Material Science , 2000 .

[36]  James A. Glazier,et al.  Extraction of relevant physical parameters from 3D images of foams obtained by X-ray tomography , 2005 .

[37]  R. Kopclman Percolation and cluster distribution . I . Cluster multiple labeling technique and critical concentration algorithm , 2011 .

[38]  Jan Sijbers,et al.  The effect of beam hardening on resolution in x-ray microtomography , 2004, SPIE Medical Imaging.

[39]  Olivier Rozenbaum,et al.  Significance of a combined approach for replacement stones in the heritage buildings’ conservation frame , 2008, 0808.1503.

[40]  S. Majumdar,et al.  Correlation of Trabecular Bone Structure with Age, Bone Mineral Density, and Osteoporotic Status: In Vivo Studies in the Distal Radius Using High Resolution Magnetic Resonance Imaging , 1997, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[41]  P. Levitz,et al.  A new method for three-dimensional skeleton graph analysis of porous media: application to trabecular bone microarchitecture. , 2000, Journal of microscopy.

[42]  Fritz B. Prinz,et al.  Box-skeletons of discrete solids , 1996, Comput. Aided Des..

[43]  Laurent Pothuaud,et al.  Three‐Dimensional‐Line Skeleton Graph Analysis of High‐Resolution Magnetic Resonance Images: A Validation Study From 34‐μm‐Resolution Microcomputed Tomography , 2002, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[44]  Rachid Harba,et al.  Mechanical assessment of porous media using hybrid skeleton graph analysis and finite elements. Application to trabecular bone , 2007, 2007 15th European Signal Processing Conference.