The Analysis of Rock Surface Asperities

  • Dalibor Martisek
  • Jana Prochazkova
Keywords: surface roughness, rock surface analysis, datum plane, wave analysis, tilt angle, Linderberg-Levi theorem


The analysis of rock surface is commonly used in technical practice. The nature discontinuity rocks are often represented by specific degree of roughness. This value has the significant effect on the rock slope stability. It is defined by the asperities and the computation is based on the visual comparison of discontinuity traces or discontinuity surfaces with standard two-dimensional graphs. The visual comparison is a subjective method, so that we propose novel method for roughness-angles analysis. Our method consists of the application of cosine Fourier series. We tested the method on the sample of limestone. The article also describes the method Surface from Focus that reconstruct the 3D surface from a set of partially focused images.


Mouralová, K., Kovář, J., Klakurková, L., Bednář, J., Zahradníček, R.: Analysis of the surface morphology and topolography of pure aluminium machined using WEDM, Measurement 114, pp. 169-176, (2018) DOI 10.1016/j.measurement.2017.09.040

Mouralová, K., Matoušek, R., Kovář, J., Mach, J., Klakurová, L., Bednář, J.: Analyzing the surface layer after WEDM depending on the parameters of a machine for the 16MnCr5 steel, Measurement 94, pp. 771-779, (2016) pp. 771-779, DOI 10.1016/j.measurement.2016.09.028

Hoek, E., Brown, E. T.: Underground excavations in rock. London: Institute of Mining and Metallurgy; Spon Press, Taylor & Francis. (1990)

Hack, R.: Slope Stability Probability Classification (SSPC). ITC publication 43 (2nd ed.). Technical University Delft & Twente University – International Institute for Aerospace Survey and Earth Sciences (ITC Enschede), Netherlands. pp. 258. (1998).

Price, D. G.: De Freitas, M. H. Engineering Geology: Principles and Practice. Springer. p. 450 (2009).

Hencher, S. R., Lee, S. G., Carter, T. G., Richards, L. R.: Sheeting Joints: Characterization, Shear Strength and Engineering. Rock Mechanics and Rock Engineering. 44 (1), pp. 1–22 (2011). doi:10.1007/s00603–010–0100–y.

Rengers, N.: Influence of surface roughness on the friction properties of rock planes. In: Proceedings 2nd International Congress on Rock Mechanics, ISRM, Belgrade. 1. ISRM. pp. 229–234 (1970).

Fecker, E., Rengers, N.: Measurement of large scale roughness of rock planes by means of profilograph and geological compass. In: Proceedings symposium on rock fracture, Nancy, France. pp. 1–18. (1971).

Hencher, S. R.; Richards, L. R. Laboratory direct shear testing of rock discontinuities. Ground Engineering. 22 (2): pp. 24–31 (1989).

Barton, N. R.; Bandis, S. C. Review of predictive capabilities of JRC–JCS model in engineering practice. Rock Joints: Regional Conference of the International Society for Rock Mechanics ISRM. Loen, Norway: Balkema, Rotterdam, Taylor & Francis. pp. 603–610 (1990).

Phien–wej, N., Shrestha, U. B.: Rantucci, G. Effect of infill thickness on shear behavior of rock joints. Rock Joints. Balkema, Taylor & Francis, Rotterdam. pp. 289–294. (1990).

Hack, R., Price, D., Rengers, N.: A new approach to rock slope stability – a probability classification Bulletin of Engineering Geology and the Environment. 62 (2): pp. 167–184 (2003) DOI 10.1007/s10064–002–0155–4.

Ulusay, R., Hudson, J. A.: The Blue Book – The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 1974–2006. Ankara: ISRM & ISRM Turkish National Group. p. 628. (2007)

Laubscher, D. H.: A geomechanics classification system for rating of rock mass in mine design. Journal South African Institute of Mining and MetaEqllurgy. 90 (10): pp. 257–273 (1990). DOI 10.1016/0148-9062(91)90830-F

Neuendorf, K. K. E., Mehl, J. P., Jackson, J. A.: Glossary of Geology, Fifth edition, American Geological Institute (2005)

Hoek, E.; Bray, J. Rock slope engineering. London: Institute of Mining and Metallurgy. pp. 358. (1974).

Xian–Qin, H.; Cruden, D. M. A portable tilting table for on–site tests of the friction angles of discontinuities in rock masses. Bulletin of the International Association of Engineering Geology. 46(1), pp. 59–62 (1992) DOI: 10.1007/BF02595034

Duncan C. W., Mah, C.: Rock Slope Engineering. Fourth Edition, CRC Press (2004)

Avsar, E. O et al.: Determining Roughness Angle of Limestone Using Optical Laser Scanner, International Journal of Environment and Geoinformatics Vol 3(3), pp. 57-75 (2016).

Martišek, D., Druckmüllerová,H.: Registration of partially focused images for 2D and 3D reconstruction of oversized samples, Scanning (2017) DOI 10.1155/2017/8538215

Wyawahare, M., V., et al.: Image Registration Techniques: An overview, International Journal of Signal Processing, Image Processing and Pattern Recognition, 2 (3), pp. 11–27 (2009).

Martišek, D., et al.: High–quality three–dimensional reconstruction and noise reduction of multifocal images from oversized samples, Journal of Electronic Imaging, 24 (5), (2015). DOI 10.1117/1.JEI.24.5.053029

Martišek, D.: The 2–D and 3–D processing of images provided by conventional microscopes, Scanning, 24(6), pp. 284–296, (2002)

Martišek, D.: 3D Reconstruction of the Surface Using a Standard Camera, Mathematical problems in Engineering, Article Number: 4642397. (2017) DOI 10.1155/2017/4642397

Martišek, D., Procházková, J.: The Enhancement of 3D Scans Depth Resolution Obtained by Confocal Scanning of Porous Materials, Measurement Science Review, 17 (6), pp. 273–281 (2017) DOI 10.1515/msr-2017-0034

Matousek, R., Popela, P. Kudela, J.: Heuristic Approaches to Stochastic Quadratic Assignment Problem: VAR and CVAR Cases, MENDEL, vol. 23, No. 1, pp. 73–78, Brno (June 2017), ISSN 1803-3814

Starha, P., Matousek, R., Zikmund, T.: Measuring Velocity of Passing Vehicle by utilizing Image Processing, MENDEL, vol. 21, pp. 165–168, Brno (June 2015), ISSN 1803-3814

Starha, P., Martisek, D., Matousek, R.: Numerical Methods of Object Reconstruction using the Method of Moments, MENDEL, vol. 20, pp. 241–248, Brno (June 2014), ISSN 1803-3814

How to Cite
Martisek, D. and Prochazkova, J. 2018. The Analysis of Rock Surface Asperities. MENDEL. 24, 1 (Jun. 2018), 135-142. DOI:
Research articles