References
- Falconer, K. (2003), Fractal Geometry: Mathematical Foundation and Applications, 2nd ed., John Wiley & Sons: Chichester, England.
- Karplus, A. P. (2008), Self-Similar Sierpinski Fractals, Science Fair: Santa Cruz, CA.
- El Naschie, M. S. (2013), “A Fractal Menger Sponge Space–Time Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy,” International Journal of Modern Nonlinear Theory and Application, 2, pp 107–121.
- Mandelbrot, B. B. (1982), The Fractal Geometry of Nature, 1st ed., W.H. Freeman and Company: New York.
- Shiffman, D. (2012), The Nature of Code: Simulating Natural Systems with Processing, 1st ed., The Nature of Code.
- Mandelbrot, B. B. (1989), “Fractal Geometry: What Is It, and What Does It Do?,” Proceedings of the Royal Society of London - Series A, 423(1864), pp 3–16.
- Feder, J. (1988), Fractals, Plenum Press: New York, London, p 11.
- Burrough, P. A. (1981), “Fractal Dimensions of Landscapes and Other Environmental Data,” Nature, 294(5838), pp 240–242.
- Majumdar, A. (1989), Fractal Surfaces and Their Applications to Surface Phenomena, Dissertation, University of California, Berkeley.
- Russ, J. C. (1994), Fractal Surfaces, Plenum Press: New York.
- Roques-Carmes, C., Wehbi, D., et al. (1987), “On the Use of the Weierstrass-Mandelbrot Function in the Modelization of Rough Surfaces,” Fractal Aspects of Materials, pp 112–114.
- Demirci, I., Mezghani, S., Yousfi, M., Zahouani, H., and El Mansori, M. (2012), “The Scale Effect of Roughness on Hydrodynamic Contact Friction,” Tribology Transactions, 55(2), pp 705–712.
- Jackson, R. L. (2006), “The Effect of Scale-Dependent Hardness on Elasto-Plastic Asperity Contact between Rough Surfaces,” Tribology Transactions, 49(2), pp 135–150.
- Jackson, R. L. (2010), “An Analytical Solution to an Archard-Type Fractal Rough Surface Contact Model,” Tribology Transactions, 53(4), pp 543–553.
- Malinverno, A. (1990), “A Simple Method to Estimate the Fractal Dimension of a Self-Affine Series,” Geophysical Research Letters, 17(11), pp 1953–1956.
- Balghonaim, A. S. and Keller, J. M. (1998), “A Maximum Likelihood Estimate for Two-Variable Fractal Surface,” IEEE Transactions on Image Processing, 7(12), pp 1746–1753.
- Sadana, A. (2006), Binding and Dissociation Kinetics for Different Biosensor Applications Using Fractals, 1st ed., Elsevier: Oxford, UK.
- Ciesla, M. and Barbasz, J. (2012), “Random Sequential Adsorption on Fractals,” Journal of Chemical Physics, 137(4), pp 1–12.
- Wu, J.-J. (2000), “Characterization of Fractal Surface,” Wear, 239(1), pp 36–47.
- Zacchino, M. (2010), “Characterizing Surface Quality: Why Average Roughness Is Not Enough.” Available at: https://www.bruker.com/fileadmin/user_upload/8-PDF-Docs/SurfaceAnalysis/3D-OpticalMicroscopy/ApplicationNotes/AN511-Characterizing_Surface_Quality-Why_Average_Roughne.pdf (accessed August 16, 2014).
- Thomas, T. R. (1999), Rough Surfaces, 2nd ed., Imperial College Press: London.
- Majumdar, A. and Bhushan, B. (1990), “Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces,” Journal of Tribology, 112(2), pp 205–216.
- Majumdar, A. and Tien, C. L. (1990), “Fractal Characterization and Simulation of Rough Surfaces,” Wear, 136(2), pp 313–327.
- Sahoo, P. (2005), Engineering Tribology, Phi Learning Pvt, Ltd.: New Delhi.
- Grad, D., Tudor, A., and Chisiu, G. (2014), “Fractal Approach for Erodated Wear of Surfaces by Solid Particles,” UPB Scientific Bulletin, Series D, 76(2), pp 111–120.
- Mandelbrot, B. (1967), “How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension,” Science, 156(3775), pp 636–638.
- Russ, J. C. (1990), “Surface Characterization: Fractal Dimensions, Hurst Coefficients, and Frequency Transform,” Journal of Computer-Assisted Microscopy, 2(3), pp 161–184.
- Candela, T., Renard, F., and Bouchon, M. (2009), “Characterization of Fault Roughness at Various Scales: Implications of Three-Dimensional High Resolution Topography Measurements,” Pure and Applied Geophysics, 166(10–11), pp 1817–1851.