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Automated Sizing of Coarse-Grained Sediments: Image-Processing Procedures

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Abstract

This is the first in a pair of papers in which we present image-processing-based procedures for the measurement of fluvial gravels. The spatial and temporal resolution of surface grain-size characterization is constrained by the time-consuming and costly nature of traditional measurement techniques. Several groups have developed image-processing-based procedures, but none have demonstrated the transferability of these techniques between sites with different lithological, clast form and textural characteristics. Here we focus on image-processing procedures for identifying and measuring image objects (i.e. grains); the second paper examines the application of such procedures to the measurement of fluvially deposited gravels. Four image-segmentation procedures are developed, each having several internal parameters, giving a total of 416 permutations. These are executed on 39 images from three field sites at which the clasts have contrasting physical properties. The performance of each procedure is evaluated against a sample of manually digitized grains in the same images, by comparing three derived statistics. The results demonstrate that it is relatively straightforward to develop procedures that satisfactorily identify objects in any single image or a set of images with similar sedimentary characteristics. However, the optimal procedure is that which gives consistently good results across sites with dissimilar sedimentary characteristics. We show that neighborhood-based operations are the most powerful, and a morphological bottom-hat transform with a double threshold is optimal. It is demonstrated that its performance approaches that of the procedures giving the best results for individual sites. Overall, it out-performs previously published, or improvements to previously published, methods.

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References

  • Bernard-Michel, B.S. Rohani, M. N. Pons, H. Vivier, H. S. Hundal, (1997), Classification of crystal shape using fourier descriptors and mathematical morphology: Particle and Particle Syst. Characterization, v. 14, no. 4, p. 193–200

    Google Scholar 

  • S. Beucher, (1992), The watershed transformation applied to image segmentation: Scanning v. Microscopy, Supplement 6, p. 299–314

  • A. Bleau, and L. J. Leon, (2000), Watershed-based segmentation and region merging: Computer Vision Image Understanding, v. 77, no. 3, p. 317–370

    Article  Google Scholar 

  • J. B. Butler, S. N. Lane, J. H. Chandler, (2001), Automated extraction of grain-size data from gravel surfaces using digital image processing: J. Hydraulic Res., v. 39, no. 4, p. 1–11

    Google Scholar 

  • J. Canny, (1986), A computational approach to edge-detection: IEEE Trans. Pattern Anal. Machine Intell., v. 8, no. 6, p. 679–698

    Google Scholar 

  • M. Church, D. McLean, J. F. Wolcott, (1987), River bed gravels: Sampling and analysis, in C. R. Thorne, J. C. Bathurst, and R. W. Hey, eds., Sediment transport in gravel bed rivers: Wiley, Chichester, p. 43–79

    Google Scholar 

  • M. Diepenbroek, A. Martholoma, H. Ibbeken, (1992), How round is round? A new approach to the topic “roundness” by Fourier grain shape analysis: Sedimentolgy, v. 39, no. 3, p. 411–422

    Google Scholar 

  • M. Diepenbroek, C. De Jong, (1994), Quantification of textural particle characteristics by image analysis of sediment surfaces—examples from active and paleo-surfaces in steep, coarse-grained mountain environments, in P. Ergenzinger, and K. H. Schmidt, eds., Dynamics and geomorphology of mountain rivers: Springer-Verlag, Berlin, Heidelberg, p. 301–314

    Google Scholar 

  • Eddins, S. (2002), The watershed transform: Strategies for image segmentation: http://www. mathworks.com/company/newsletter/win02/ [10 September 2003]

  • G. M. Friedman, (1958), Determination of sieve-size distribution from thin section data for sedimentary petrological studies: J. Geol. v. 66, p. 394–416

    Google Scholar 

  • J. B. Fripp, P. Diplas, (1993), Surface sampling in gravel streams: J. Hydraulic Eng. v. 119, no. 4, p. 473–490

    Google Scholar 

  • A. M. Ghalib, R. D. Hryciw, (1999), Soil particle size distribution by mosaic imaging and watershed analysis: J. Comput. Civil Eng. v. 13, no. 2, p. 80–87

    Article  Google Scholar 

  • C. A. Glasbey, G. W. Horgan, J. F. Darbyshire, (1991), Image analysis and three-dimensional modeling of pores in soil aggregates: J. Soil Sci. v. 42, no. 3, p. 479–486

    Google Scholar 

  • G. W. Horgan, (1998), Mathematical morphology for analyzing soil structure from images: Eur. J. Soil Sci. v. 49, no. 2, p. 161–173

    Article  Google Scholar 

  • H. Ibbeken, D. A. Warnke, M. Diepenbroek, (1998), Granulometric study of the Hanaupah Fan, Death Valley, California: Earth Surface Processes Landforms, v. 23, no. 6, p. 481–492

    Article  Google Scholar 

  • H. Ibekken, R. Schleyer, (1986), Photo -sieving: A method for grain-size analysis of coarse-grained, unconsolidated bedding surfaces: Earth Surface Processes Landforms, v. 11, no. 1, p. 59–77

    Google Scholar 

  • P. T. Jackway, (2000), Improved morphological top-hat: Electr. Lett. v. 36, no. 14, p. 1194–1195

    Article  Google Scholar 

  • R. Kellerhals, J. Shaw, V. K. Arora, (1975), On grain size from thin sections: J. Geol. v. 83, no. 1, p. 79–96

    Google Scholar 

  • I. K. McEwan, T. M. Sheen, G. J. Cunningham, A. R. Allen, (2000), Estimating the size composition of sediment surfaces through image analysis: Proc. Inst. Civil Eng., Water Maritime Eng. v. 142, no. 4, p. 189–195

    Google Scholar 

  • F. Meyer, (1979), Cytologie Quantitative et Morphologie Mathématique: Unpublished Doctoral Dissertation, Ecole des Mines, Paris

  • I. Reid, S. Rice, C. Garcia, (2001), Discussion of “The measurement of gravel-bed river morphology”, in M. P. Mosley, ed., Gravel-bed rivers V: New Zealand Hydrological Society, Wellington, p. 325–327

    Google Scholar 

  • S. P. Rice, M. Church, (1996), Sampling fluvial gravels: Bootstrapping and the precision of size distribution percentile estimates: J. Sediment. Res. v. 66, no. 3, p. 654–665

    Google Scholar 

  • S. P. Rice, M. Church, (1998), Grain size along two gravel-bed rivers: Statistical variation, spatial pattern and sedimentary links: Earth Surface Processes Landforms, v. 23, no. 4, p. 345–363

    Article  Google Scholar 

  • J. C. Russ, (1999), The image processing handbook, 3rd edn.: CRC Press, Boca Raton, Florida

    Google Scholar 

  • P. K. Sahoo, S. Soltani, A. K. Wong, C. Y. C. Chen, (1988), A survey of thresholding techniques: Computer Vision, Graphics Image Process. v. 41, no. 2, p. 233–260

    Google Scholar 

  • L. C. Sime, R. I. Ferguson, (2003), Information on grain sizes in gravel-bed rivers by automated image analysis: J. Sediment. Res. v. 73, no. 4, p. 630–636

    Google Scholar 

  • P. Soille, (2003), Morphological image analysis: Principles and applications, 2nd edn.: Springer-Verlag, Berlin, 407 pp

    Google Scholar 

  • H. Talbot, L. Vincent, (1992), Euclidean skeletons and conditional bisectors, in Maragos, P., ed., Proceedings of SPIE on Visual Communications and Image Processing’92, Vol. 1818, p. 862–876

  • Y. Vanderstockt, R. N. Whyte, (2002), Watershed transformation: Reducing the over-segmentation problem by applying a noise reducer and a region merger: J. WSCG, v. 10, no. 3: http://wscg.zcu.cz/wscg2002/wscg2002_program.htm [14 October 2003]

  • L. Vincent, E. R. Dougherty, (1994), Morphological segmentation for textures and particles, in E. R. Dougherty, ed., Digital image processing: Fundamentals and applications: Marcel-Dekker, New York, p. 43–102

    Google Scholar 

  • L. Vincent, P. Soille, (1991), Watersheds in digital spaces: An efficient algorithm based on immersion simulations: IEEE Trans. Pattern Anal. Machine Intell. v. 13, no. 6, p. 583–598

    Article  Google Scholar 

  • J. F. Wolcott, M. Church, (1991), Strategies for sampling spatially heterogeneous phenomena: The example of river gravels: J. Sediment. Res. v. 61, no. 4, p. 534–543

    Google Scholar 

  • M. G. Wolman, (1954), Method of sampling coarse river bed material: Trans. Am. Geophys. Union, v. 35, no. 6, p. 951–956

    Google Scholar 

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Correspondence to David J. Graham, Ian Reid or Stephen P. Rice.

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Graham, D.J., Reid, I. & Rice, S.P. Automated Sizing of Coarse-Grained Sediments: Image-Processing Procedures. Math Geol 37, 1–28 (2005). https://doi.org/10.1007/s11004-005-8745-x

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