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mBm-Biblio-Signal processing

 

 

 

2D shape classification using multifractional brownian motion. logo-lien
M. Bicego, A. Trudda
Lecture Notes in Computer Science, vol. 5342, pp 906-916, 2010

Synthesis of multifractional Gaussian noises based on variable-order fractional operators

Hu Sheng, Hongguang Sun, Yangquan Chen, Tianshuang Qiu

Signal Processing, Volume 91 Issue 7, July, 2011

http://dl.acm.org/citation.cfm?id=1951066

 

Local fractal and multifractal features for volumic texture characterization

Lopes, R., Dubois, P., Bhouri, I., Bedoui, M.H., Maouche, S. ,Betrouni, N.,

Pattern Recognition, 44 (8), p.1690-1697, Aug 2011

http://www.sciencedirect.com/science/article/pii/S003132031100080X

 

 

Wavelet-Based Synthesis of a Multifractional Process

Wang, Zhao-rui; Lü, Shan-wei; Nakamura, Taketsune

Image and Signal Processing, 2008. CISP '08. Congress, 27-30 May 2008 , p331-334

http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=4566671

 

Poisson random balls: self-similarity and X-ray images

Hermine Biermé and Anne Estrade

Adv. in Appl. Probab. Volume 38, Number 4 (2006), 853-87

http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aap/1165414582

 

2D wavelet-based spectra with applications

Nicolis, Orietta, Ramírez-Cobo, Pepa, Vidakovic, Brani,

Computational Statistics & Data Analysis, 55 (1), p.738-751, Jan 2011

http://www.sciencedirect.com/science/article/pii/S0167947310002653


Fractal Approaches in Signal Processing

Jacques Lévy Véhel

Fractals, 3(4), 755-775, 1995


Simulation of multifractional Brownian motion

Grace Chan, Andrew T. A. Wood

Proceedings in Computational Statistics, 233-238, 1998

 

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.6312

Computational Methods for Hidden Markov Tree Models
An Application to Wavelet Trees

Jean-Baptiste Durand, Paulo Goncalves, Yann Guedon
IEEE Transactions on Signal Processing, 52(9), 2551 – 2560, 2004

 

http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1323262

 

The Estimation of Hölderian Regularity using Genetic Programming

Leonardo Trujillo, Pierrick Legrand, Jacques Lévy Véhel

Genetic and Evolutionary Computation Conference (GECCO 2010), 861-868, 2010
http://hal.inria.fr/inria-00534453/en

Stochastic fractal models for image processing

Béatrice Pesquet-Popescu, Jacques Lévy Véhel

IEEE on Signal Processing Magazine, 19(5), 68-62, 2002

 

http://hal.inria.fr/inria-00581030_v1/

 

 

A Flexible Noise Model For Designing Maps

Sebastien Deguy and Albert Benassi

Vision, Modeling, and Visualization, Stuttgart, 21–23 Nov., 2001.

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.1836

 

Evolving estimators of the pointwise Hölder exponent with Genetic Programming

 Leonardo Trujillo, Pierrick Legrand, Gustavo Olague and Jacques Lévy Véhel

Information Sciences, Vol. 209, pp.61-79, 2012

http://www.sciencedirect.com/science/article/pii/S0020025512003386

 

Quantitatively investigating the locally weak stationarity of modified multifractional Gaussian noise

Ming Li, Wei Zhao

Physica A: Statistical Mechanics and its Applications, Vol. 391(24), pp. 6268-6278, 2012

http://www.sciencedirect.com/science/article/pii/S0378437112007121

 

Multifractional Processes

Hu Sheng, YangQuan Chen, TianShuang Qiu

Fractional Processes and Fractional-Order Signal Processing

Signals and Communication Technology, Part 2, pp.77-92, 2012

http://www.springerlink.com/content/x310r70172962473/

 

Synthesis algorithm of multifractional Brownian motion with wavelet 

Wang Zhaorui, Lü Shanwei, Nakamura Taketsune

Journal of Beijing University of Aeronautics, Vol. 33(12), pp.1417-1419, 2007

http://bhxb.buaa.edu.cn//EN/Y2007/V33/I12/1417

 

The time-singularity multifractal spectrum distribution

Gang Xiong, Shuning Zhang and Qiang Liu

Physica A: Statistical Mechanics and its Applications, Vol. 391(20), pp. 4727–4739, 2012

http://www.sciencedirect.com/science/article/pii/S0378437112003974

 

The fractal energy measurement and the singularity energy spectrum analysis

Gang Xiong, Shuning Zhang, Xiaoniu Yang

Physica A: Statistical Mechanics and its Applications, Vol. 391(24), pp.6347-6361, 2012

http://www.sciencedirect.com/science/article/pii/S037843711200725X

 

 


 

 

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