Abstract
In this paper the use of morphological connected filters are studied for segmenting sheet- and thread-like cracks in images of shale rock. A volume formed from a stack of 2-D X-ray images is processed using 3-D attributes. The shape-preserving property of these filters provides accurate segmentation results while the use of rotation-invariant attributes allow robust and computationally efficient segmentation of cracks at all orientations. The results obtained using shape and size attributes are provided and discussed. The research presented here is part of a project with geologists to provide tools for automated segmentation and analysis of features of interest in various types of rock.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Archie, G.E.: The electrical resistivity log as an aid in determining some reservoir characteristics. T. Am. I. Min. Met. Eng. 146, 54–61 (1942)
Berryman, J.: Long-wavelength propagation in composite elastic media. J. Acoust. Soc. Am. 69, 416–424 (1980)
Biot, M.A.: Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33(4), 1482–1498 (1962)
Breen, E.J., Jones, R.: Attribute openings, thinnings and granulometries. Comp. Vis. Image Understand. 64, 377–389 (1996)
Heijmans, H.J.A.M.: Connected morphological operators for binary images. Comput. Vis. Image Understand. 73, 99–120 (1999)
Hu, M.K.: Visual pattern recognition by moment invariants. IRE Transactions on Information Theory IT-8, 179–187 (1962)
Kuster, G.T., Toksoz, M.N.: Velocity and attenuation of seismic-waves in 2-phase media.1. theoretical formulations. Geophysics 39(5), 587–606 (1974)
Kuster, G.T., Toksoz, M.N.: Velocity and attenuation of seismic-waves in 2-phase media.2. experimental results. Geophysics 39(5), 607–618 (1974)
Mavko, G., Nur, A.: The effect of a percolation threshold in the kozeny-carman relation. Geophysics 62(5), 1480–1482 (1997)
Najman, L., Couprie, M.: Building the component tree in quasi-linear time. IEEE Trans. Image Proc. 15(11), 3531–3539 (2006)
O’Connell, R.J., Budiansk, B.: Seismic velocities in dry and saturated cracked solids. Journal of Geophysical Research 79(35), 5412–5426 (1974)
Pervukhina, M., Gurevich, B., Dewhurst, D.N., Siggins, A.F.: Experimental verification of the physical nature of velocity-stress relationship for isotropic porous rocks. Geophysical Journal International 181, 1473–1479 (2010)
Salembier, P., Oliveras, A., Garrido, L.: Anti-extensive connected operators for image and sequence processing. IEEE Trans. Image Proc. 7, 555–570 (1998)
Salembier, P., Wilkinson, M.H.F.: Connected operators. IEEE Signal Processing Magazine 26(6), 136–157 (2009)
Sato, Y., Nakajima, S., Shiraga, N., Atsumi, H., Yoshida, S., Koller, T., Gerig, G., Kinikis, R.: 3D multi-scale line filter for segmentation and visualization of curvilinear structures in medical images. Medical Image Analysis 2, 143–168 (1998)
Schutjens, P.M.T.M., Hanssen, T.H., Hettema, M.H.H., Merour, J., de Bree, P., Coremans, J.W.A., Heilliesen, G.: Compaction-induced porosity/permeability reduction in sandstone reservoirs: Data and model for elasticity-dominated deformation. Spe. Reserv. Eval. Eng. 7(3), 202–216 (2004)
Serra, J.: Image Analysis and Mathematical Morphology, 2nd edn., vol. 1. Academic Press, New York (1982)
Shapiro, S.A.: Elastic piezosensitivity of porous and fractured rocks. Geophysics 68(2), 482–486 (2003)
Sofou, A., Tzafestas, C., Maragos, P.: Segmentation of soilsection images using connected operators. In: Int. Conf. Image Proc. 2001, pp. 1087–1090 (2001)
Soille, P.: Morphological Image Analysis: Principles and Applications, 2nd edn. Springer, New York (2002)
Sun, C., Vallotton, P.: Fast linear feature detection using multiple directional non-maximum suppression. Journal of Microscopy 234(2), 147–157 (2009)
Turcotte, D.L.: Chaos, fractals, nonlinear phenomena in earth-sciences. Rev. Geophys. 33, 341–343 (1995)
Urbach, E.R., Roerdink, J.B.T.M., Wilkinson, M.H.F.: Connected shape-size pattern spectra for rotation and scale-invariant classification of gray-scale images. IEEE Trans. Pattern Anal. Mach. Intell. 29(2), 272–285 (2007)
Urbach, E.R., Stepinski, T.F.: Automatic detection of sub-km craters in high resolution planetary images. Planetary and Space Science 57, 880–887 (2009)
Urbach, E.R., Wilkinson, M.H.F.: Shape-only granulometries and grey-scale shape filters. In: Proceedings of the ISMM 2002, pp. 305–314 (2002)
Vincent, L.: Grayscale area openings and closings, their efficient implementation and applications. In: Proc. EURASIP Workshop on Mathematical Morphology and its Application to Signal Processing, Barcelona, Spain, pp. 22–27 (1993)
Westenberg, M.A., Roerdink, J.B.T.M., Wilkinson, M.H.F.: Volumetric attribute filtering and interactive visualization using the max-tree representation. IEEE Trans. Image Proc. 16(12), 2943–2952 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Urbach, E.R., Pervukhina, M., Bischof, L. (2011). Segmentation of Cracks in Shale Rock. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds) Mathematical Morphology and Its Applications to Image and Signal Processing. ISMM 2011. Lecture Notes in Computer Science, vol 6671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21569-8_39
Download citation
DOI: https://doi.org/10.1007/978-3-642-21569-8_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21568-1
Online ISBN: 978-3-642-21569-8
eBook Packages: Computer ScienceComputer Science (R0)