Towards automated pattern quantification: Time-efficient assessment of anisotropy of 2D patterns with AMOCADO

Computers and Geosciences

Volumn 35, Issue 6, 2009, Pages 1087-1097

  Gerik, Axel ^a,b   Kruhl, Jörn H ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Fabric quantification; Fractal geometry; Structural geology

Indexed keywords

2D PATTERNS; AUTOMATED METHODS; COMPLEX INFORMATIONS; COMPLEX PATTERNS; DATA DENSITIES; FORMING PROCESS; FRACTAL GEOMETRY; HIGH ANGULAR RESOLUTIONS; SOFTWARE TOOLS;

ANISOTROPY; AUTOMATION; COMPUTER SOFTWARE; FABRICS; FRACTALS;

STRUCTURAL GEOLOGY;

AUTOMATION; FRACTAL ANALYSIS; PATTERN RECOGNITION; SOFTWARE; STRUCTURAL GEOLOGY;

EID: 64949083097     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2008.01.015     Document Type: Article

References (31)

1. Aust K.T., Erb U., and Palumbo G. Interface control for resistance to intergranular cracking. Materials Science and Engineering A 176 (1994) 329-334
2. Borradaile G.J. Magnetic susceptibility, petrofabrics and strain. Tectonophysics 156 (1988) 1-20
3. Diot H., Bolle O., Lambert J.-M., Launeau P., and Duchesne J.-C. The Tellnes ilmenite deposit (Rogaland, South Norway): magnetic and petrographic evidence for emplacement of a Ti-enriched noritic crystal mush in a fracture zone. Journal of Structural Geology 25 4 (2003) 481-501
4. Gillespie P.A., Howard C.B., Walsh J.J., and Watterson J. Measurement and characterization of spatial distributions of fractures. Tectonophysics 226 (1993) 113-141
5. Harris C., Franssen R., and Loosveld R. Fractal analysis of fractures in rocks: the Cantor's dust method-comment. Tectonophysics 198 (1991) 107-111
6. Higgins M.D. Quantitative Textural Measurements in Igneous and Metamorphic Petrology (2006), Cambridge University Press, Cambridge 276pp
7. Kaye B.H. A Random Walk Through Fractal Dimensions (1989), VCH Publishers, Weinheim 235pp
8. Kruhl J.H., and Huntemann T. The structural state of the former lower continental crust in Calabria (S. Italy). Geologische Rundschau 80 (1991) 289-302
9. Kruhl J.H., and Nega M. The fractal shape of sutured quartz grain boundaries: application as a geothermometer. Geologische Rundschau 85 1 (1996) 38-43
10. Kruhl J.H., Andries F., Peternell M., and Volland S. Fractal geometry analyses of rock fabric anisotropies and inhomogeneities. In: Kolymbas D. (Ed). Fractals in Geotechnical Engineering. Advances in Geotechnical Engineering and Tunnelling vol. 9 (2004), Logos, Berlin 115-135
11. Launeau P., and Robin P.-Y.F. Fabric analysis using the intercept method. Tectonophysics 267 1-4 (1996) 91-119
12. Launeau P., and Robin P.-Y.F. Determination of fabric and strain ellipsoids from measured sectional ellipses-implementation and applications. Journal of Structural Geology 27 12 (2005) 2223-2233
13. Launeau P., Bouchez J.-L., and Benn K. Shape preferred orientation of object population: automatic analysis of digitized images. Tectonophysics 180 2-4 (1990) 201-211
14. Leiss B., and Weiss T. Fabric anisotropy and its influence on physical weathering of different types of Carrara marbles. Journal of Structural Geology 226 11-12 (2000) 1737-1745
15. Mainprice D., Lloyd G.E., and Casey M. Individual orientation measurements in quartz polycrystals: advantages and limitations for texture and petrophysical property determinations. Journal of Structural Geology 15 9-10 (1993) 1169-1187
16. Mandelbrot B.B. The Fractal Geometry of Nature (1982), W. H. Freeman & Co., New York 460pp
17. Marsh B.D. Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization. Contributions to Mineralogy and Petrology 99 3 (1988) 277-291
18. Merriam D.F. The quantification of geology: from abacus to Pentium: A chronicle of people, places, and phenomena. Earth-Science Reviews 67 1-2 (2004) 55-89
19. Panozzo R. Two-dimensional strain from the orientation of lines in a plane. Journal of Structural Geology 6 1-2 (1984) 215-221
20. Pérez-López R., and Paredes C. On measuring the fractal anisotropy of 2-D geometrical sets: application to the spatial distribution of fractures. Geoderma 134 3-4 (2006) 402-414
21. Peternell, M., 2007. Fabric patterns in magmatic rocks: method development, automation and geological significance. Ph.D. Dissertation, Technische Universität München, Germany, http://www.geo.tum.de/fabric/people/peternell/diss/peternell-dissertation_online.pdf, [accessed 05 October 2007], 125pp.
22. Peternell M., Andries F., and Kruhl J.H. Magmatic flow-pattern anisotropies-analyzed on the basis of a new 'map-counting' fractal geometry method. Journal of the Czech Geological Society 48 1-2 (2003) 104
23. Pitteway M.L.V. Algorithm for drawing ellipses or hyperbolae with a digital plotter. The Computer Journal 10 3 (1967) 282-289
24. Schenk V. P-T-t path of the lower crust in the hercynian fold belt of southern Calabria. Geological Society, London, Special Publications 43 (1989) 337-342
25. Shimada M., Kokawa H., Wang Z.J., Sato Y., and Karibe I. Optimization of grain boundary character distribution for intergranular corrosion resistant 304 stainless steel by twin-induced grain boundary engineering. Acta Materialia 50 9-10 (2002) 2331-2341
26. Suteanu C., Zugravescu D., and Munteanu F. Fractal approach of structuring by fragmentation. Pure and Applied Geophysics 157 4 (2000) 539-557
27. Tarling D., and Hrouda F. The Magnetic Anisotropy of Rocks (1993), Chapman & Hall, London 232pp
28. Turcotte D.L. Fractals and fragmentation. Journal of Geophysical Research 91 (1986) 1921-1926
29. Underwood E.E. Quantitative Stereology (1970), Addison-Wesley, Reading, MA 274pp
30. Velde B., Dubois J., Touchard G., and Badri A. Fractal analysis of fractures in rocks: the Cantor's dust method. Tectonophysics 179 3-4 (1990) 345-352
31. Volland S., and Kruhl J.H. Anisotropy quantification: the application of fractal geometry methods on tectonic fracture patterns of a Hercynian fault zone in NW Sardinia. Journal of Structural Geology 26 8 (2004) 1499-1510