Segmentation of sandstone thin section images with separation of touching grains using optimum path forest operators

Abstract The segmentation of detrical sedimentary rock images is still a challenge for characterization of grain morphology in sedimentary petrography. We propose a fast and effective approach that first segments the grains from pore in sandstone thin section images and separates the touching grains automatically, and second lets the user to correct the misclassified grains with minimum interaction. The method is mostly based on the image foresting transform (IFT)—a tool for the design of image processing operators using optimum connectivity. The IFT interprets an image as a graph, whose nodes are the image pixels, the arcs are defined by an adjacency relation between pixels, and the paths are valued by a connectivity function. The IFT algorithm transforms the image graph into an optimum-path forest and distinct operators are designed by suitable choice of the IFT parameters and post-processing of the attributes of that forest. The solution involves a sequence of three IFT-based image operators for automatic segmentation and the interactive segmentation combines region- and boundary-based object delineation using two IFT operators. Tests with thin section images of two different sandstone samples have shown very satisfactory results, yielding r 2 and accuracy parameters of 0.8712 and 94.8% on average, respectively. Biases were the presence of the matrix and rock fragments.

[1]  Xinyue Ye,et al.  Detecting grain boundaries in deformed rocks using a cellular automata approach , 2012, Comput. Geosci..

[2]  Edward R. Dougherty,et al.  Mathematical Morphology in Image Processing , 1992 .

[3]  Alexandre X. Falcão,et al.  Interactive volume segmentation with differential image foresting transforms , 2004, IEEE Transactions on Medical Imaging.

[4]  Philippe Salembier,et al.  Antiextensive connected operators for image and sequence processing , 1998, IEEE Trans. Image Process..

[5]  X FalcãoAlexandre,et al.  The Image Foresting Transform , 2004 .

[6]  Jayaram K. Udupa,et al.  Synergistic arc-weight estimation for interactive image segmentation using graphs , 2010, Comput. Vis. Image Underst..

[7]  X FalcãoAlexandre,et al.  User-steered image segmentation paradigms , 1998 .

[8]  Bibo Lu,et al.  PDE-based grain boundary detection , 2010, 2010 Second IITA International Conference on Geoscience and Remote Sensing.

[9]  Alice E. Smith,et al.  Grain boundary detection in microstructure images using computational intelligence , 2005, Comput. Ind..

[10]  Jayaram K. Udupa,et al.  An ultra-fast user-steered image segmentation paradigm: live wire on the fly , 2000, IEEE Transactions on Medical Imaging.

[11]  Alexandre X. Falcão,et al.  Intelligent Understanding of User Interaction in Image Segmentation , 2012, Int. J. Pattern Recognit. Artif. Intell..

[12]  E. H. van den Berg,et al.  Automated separation of touching grains in digital images of thin sections , 2002 .

[13]  Charles M. Onasch,et al.  GIS-based detection of grain boundaries , 2008 .

[14]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[15]  Jorge Stolfi,et al.  The image foresting transform: theory, algorithms, and applications , 2004 .

[16]  Alexandre X. Falcão,et al.  Fast Euclidean distance transform using a graph-search algorithm , 2000, Proceedings 13th Brazilian Symposium on Computer Graphics and Image Processing (Cat. No.PR00878).

[17]  Qiang Liu,et al.  Automated grain boundary detection using the level set method , 2009, Comput. Geosci..

[18]  K. Mulchrone,et al.  Automated grain boundary detection by CASRG , 2006 .

[19]  João Paulo Papa,et al.  Supervised pattern classification based on optimum-path forest , 2009 .

[20]  Alexandre X. Falcão,et al.  IFT-Watershed from gray-scale marker , 2002, Proceedings. XV Brazilian Symposium on Computer Graphics and Image Processing.

[21]  Jayaram K. Udupa,et al.  User-Steered Image Segmentation Paradigms: Live Wire and Live Lane , 1998, Graph. Model. Image Process..

[22]  Robert Ehrlich,et al.  Fourier grain-shape analysis: A new tool for sourcing and tracking abyssal silts , 1980 .

[23]  Alexandre X. Falcão,et al.  User-Steered Image Segmentation Using Live Markers , 2011, CAIP.

[24]  Jitendra Malik,et al.  Normalized Cuts and Image Segmentation , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[25]  Alexandre X. Falcão,et al.  Motion segmentation and activity representation in crowds , 2009 .