Self-affinity
A self-affine fractal with Hausdorff dimension=1.8272.
In mathematics, self-affinity refers to a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation.
See also
References
- "Self-affinity and fractal dimension" (PDF). Physica Scripta 32: 257–260. 1985. doi:10.1088/0031-8949/32/4/001.
- Victor Sapozhnikov and Efi Foufoula-Georgiou (May 1996). "Self-affinity in braided rivers" (PDF). Water Resources Research 32 (5): 1429–1439. doi:10.1029/96wr00490.
- Benoît B. Mandelbrot. Gaussian Self-Affinity and Fractals: Globality, the Earth, 1/F Noise, and R/S. ISBN 0387989935.
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