Useful resources discussing distinction between self-similarity and self-affinity

pramitghosh commented 4 years ago

The following publicly available resources may be useful:

"Self-similarity and panorama of self-affinity" by Mandelbrot. PDF: https://courses.physics.ucsd.edu/2019/Spring/physics235/Madelbrot%20E6%20-OV%20on%20Self%20Affinity.pdf
Appendix B ("Fractals: Self-Similar and Self-Affine Systems") of Goehring, L., Nakahara, A., Dutta, T., Kitsunezaki, S., & Tarafdar, S. (2015). Desiccation cracks and their patterns: Formation and Modelling in Science and Nature. John Wiley & Sons. URL: https://doi.org/10.1002/9783527671922.app2

pramitghosh commented 4 years ago

Lecture 3 in the lecture notes by Shlomo Havlin. URL: http://havlin.biu.ac.il/PCS/lecture3.pdf

pramitghosh commented 2 months ago

The following article reviews methods for computing fractal dimensions for self-similar and self-affine curves:

Klinkenberg, B. (1994). A review of methods used to determine the fractal dimension of linear features. Mathematical Geology, 26, 23-46. [Link]

pramitghosh / sameSVD