Regularization dimension-Math-Biblio

• Mathematics

  
  

Analyse fractale d'une famille de fonctions aléatoires: les fonctions de bosses.
Yann Demichel
Université Blaise Pascal - Clermont-Ferrand II, 2006

Horizons of Fractional Brownian Surfaces.
K. J. Falconer and J. Levy Vehel
Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 456, No. 2001, pp. 2153-2178, 2008

The Hausdorff measure functions: A new way to characterize fractal sets.
J. Li, F. Nekka
Pattern Recognition Letters 24, vol. 24, pp. 2723–2730, 2003

Lp-Norms and Fractal Dimensions of Continuous Function Graphs

Yann Demichel

Applied and Numerical Harmonic Analysis, 2010, Part 2, 145-164, DOI: 10.1007/978-0-8176-4888-6_10

A New Analysis Approach to Porous Media Texture. Mathematical Tools for Signal Analysis in a Context of Increasing Complexity
F . Nekka and J . Li
Mathematical Models and Methods for Real World Systems, Chapter 15.
Edited by Zuhair Nashed , K . M . Furati , and Abul Hasan Siddiqi
Pages 373–385
CRC Press 2005
http://www.crcnetbase.com/doi/abs/10.1201/9781420026511.ch15

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• Signal and image processing