A REVIEW OF THE THEORY AND ESTIMATION OF FRACTAL DIMENSION

By C. D. Cutler. 1993

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Samory Kpotufe
2. W. Kunin
3. S. Hartley
4. J. Lennon
5. A. Kallimanis
6. S. Sgardelis
7. Kenneth L. Clarkson
8. J. Halley

Citations in the corpus

• k-NN Regression Adapts to Local Intrinsic Dimension (2011, background): “We stay informal in developing the motivation and refer the reader to [11, 12, 13] for thorough overviews of the topic of metric space dimension and doubling measures.”
• Uses and abuses of fractal methodology in ecology (2004, methodology): “Perhaps the best solution, however, is to estimate higher-order fractal dimensions (e.g. information or correlation dimensions, Appendix 2) that examine the relative density of points and are thus less sensitive to saturation than presence–absence boxcounting (Cutler 1993, pp 51, 59–60).”
• Nearest-Neighbor Searching and Metric Space Dimensions (2005, methodology): “Only a glimpse will really be given here; as mentioned earlier, for a more thorough understanding the survey by Cutler is helpful [Cut93].”