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A Novel Approach to Texture classification using statistical feature [article]

B. Vijayalakshmi, V. Subbiah Bharathi
2011 arXiv   pre-print
Since most significant information of a texture often appears in the high frequency channels, the features are extracted by the computation of LBP and Texture Spectrum and Legendre Moments.  ...  Ma and Manjunath [8] evaluated texture image annotation by using various wavelet texture representation including orthogonal and bi-orthogonal wavelet transform, tree structured wavelet transform and  ...  Gabor wavelet transform.  ... 
arXiv:1111.2391v1 fatcat:scro43jb5fdzvo6cu4no4mp7x4

A Hybrid Approach to Texture Classification [chapter]

B. Vijayalakshmi, V. Subbiah Bharathi
2011 Communications in Computer and Information Science  
Since most significant information of a texture often appears in the high frequency channels, the features are extracted by the computation of LBP and Texture Spectrum and Legendre Moments.  ...  Ma and Manjunath [8] evaluated texture image annotation by using various wavelet texture representation including orthogonal and bi-orthogonal wavelet transform, tree structured wavelet transform and  ...  Gabor wavelet transform.  ... 
doi:10.1007/978-3-642-22540-6_12 fatcat:zi5quaxyxjhpnljik3tmwbwe7m

An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality [article]

Markus Bachmayr, Igor Voulis
2022 arXiv   pre-print
It combines operator compression in the stochastic variables with tree-based spline wavelet approximation in the spatial variables.  ...  spatial tree structure.  ...  The near-optimality result for our method can be summarized as follows: if the best fully discrete approximation u N with spatial tree structure in each Legendre coefficient requires a total number of  ... 
arXiv:2109.09136v2 fatcat:3lo3xlbiancxraviwc7hymh2yq

Crossing-tree partition functions

Geoffrey Decrouez, Pierre-Olivier Amblard
2015 2015 23rd European Signal Processing Conference (EUSIPCO)  
Estimation is further compared with stateof-the-art techniques, including wavelet and wavelet leaders.  ...  A new multifractal formalism based on the crossing-tree for H-sssi processes was recently introduced [1, 2].  ...  The formalism relates the spectrum of singularities to a partition function computed from multi resolution quantities obtained from the crossing-tree of a signal.  ... 
doi:10.1109/eusipco.2015.7362535 dblp:conf/eusipco/DecrouezA15 fatcat:n6wc76an3zcbjicejlkq4pavkq

Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature

Helmut Harbrecht, Reinhold Schneider
2006 SIAM Journal on Scientific Computing  
To realize linear complexity, we exploit the tree structure with respect to the supports of the wavelets, to predict negligible matrix coefficients.  ...  However, the tree depends on the chosen wavelet construction. Let us remark that the wavelet tree corresponds to the covering tree utilized for the Panel Clustering.  ...  In the case of piecewise linear wavelets, we have to compute in accordance with (28) the integrals Herein, p m , p m denote the bilinear polynomials on defined by (8). Lemma 9.5.  ... 
doi:10.1137/s1064827503429387 fatcat:fymz4ukc7nazrmcvgnn3jt26dm

Confocal Laser Scanning Microscopy in Dermatology: Manual and Automated Diagnosis of Skin Tumours [chapter]

Wiltgen Marco
2011 Laser Scanning, Theory and Applications  
A large subclass of wavelets arises from special structures imposed on 2 () L , known as multi-resolution-analysis (MRA).  ...  As in the case of continuous wavelets, there also exists a variety of discrete wavelets; the Coiflet wavelets, the Legendre wavelets, the Haar wavelets, etc.  ... 
doi:10.5772/15969 fatcat:chmomvjjy5ghvj7zclpfot5ijq

Technische Universität Chemnitz [chapter]

2017 Geschichte der anorganischen Chemie  
To realize linear complexity, we exploit the tree structure with respect to the supports of the wavelets, to predict negligible matrix coefficients.  ...  However, the tree depends on the chosen wavelet construction. Let us remark that the wavelet tree corresponds to the covering tree utilized for the Panel Clustering.  ...  In the case of piecewise linear wavelets, we have to compute in accordance with (28) the integrals Herein, p m , p m denote the bilinear polynomials on defined by (8). Lemma 9.5.  ... 
doi:10.1002/9783527693009.ch51 fatcat:gfrvcuo2ubezpnvhfdazm3ohxe

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere

K. M. Gorski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, M. Bartelmann
2005 Astrophysical Journal  
HEALPix -- the Hierarchical Equal Area iso-Latitude Pixelization -- is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific  ...  A simple argument in favour of this states that the data elements which are nearby in a multi-dimensional configuration space (here, on the surface of a sphere), are also nearby in the tree structure of  ...  In order to be able to perform the necessary computational work in support of the multi-million pixel spherical data sets one has to resort to iso-latitude structures of point-sets/sky maps, e.g.  ... 
doi:10.1086/427976 fatcat:zhw54cqhzjaclhqqftgbushjbe

Modeling Fluid's Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks

Andrei Khrennikov, Klaudia Oleschko, María Correa López
2016 Entropy  
We also present a non-mathematician friendly review of trees and ultrametric spaces and pseudo-differential operators on such spaces.  ...  For the simplest trees, these equations are essentially less complicated than those with fractional differential operators which are commonly applied in geological studies looking for some fractional analogs  ...  fractal components of this multi-fractal wavelet expansion.  ... 
doi:10.3390/e18070249 fatcat:tbwwaiwjrzdw7hlepfcsbrfpba

Singularity strength based characterization of financial networks [article]

Sayantan Ghosh and Uwe Jaekel and Francesco Petruccione
2012 arXiv   pre-print
In this work the singularity strength is employed to define a distance metric and the existence of hierarchical structure in the Johannesburg Stock Exchange is investigated.  ...  Financial markets are well known examples of multi-fractal complex systems that have garnered much interest in their characterization through complex network theory.  ...  We calculate the this metric by the use of Wavelet Based Multi Fractal De-trended Fluctuation Analysis (WBMFDFA).  ... 
arXiv:1205.1710v1 fatcat:cv7rwytfv5bszj2iwpq3cs4yli

The HEALPix Primer [article]

Krzysztof M. Gorski, Benjamin D. Wandelt, Frode K. Hansen, Eric Hivon, Anthony J. Banday
1999 arXiv   pre-print
HEALPix is a Hierarchical, Equal Area, and iso-Latitude Pixelisation of the sphere designed to support efficiently - local operations on the pixel set, - a hierarchical tree structure for multi-resolution  ...  This tree structure allows one to implement efficiently all applications involving nearest-neighbour searches (see ), and also allows for an immediate construction of the fast Haar wavelet transform on  ...  An argument in favour of this proposition states that the data elements which are nearby in a multi-dimensional configuration space (here, on the surface of a sphere), are also nearby in the tree structure  ... 
arXiv:astro-ph/9905275v2 fatcat:lriogtnxtjgmne7lvclkwjewdq

Automatic Approach for Cervical Cancer Detection and Segmentation Using Neural Network Classifier

Elayaraja P, Suganthi M
2018 Asian Pacific Journal of Cancer Prevention  
Oriented Local Histogram Technique (OLHT) is applied on the cervical image to enhance the edges and then Dual Tree Complex Wavelet Transform (DT-CWT) is applied on it to obtain multi resolution image.  ...  Then, features as wavelet, Grey Level Co-occurrence Matrix (GLCM), moment invariant and Local Binary Pattern (LBP) features are extracted from this transformed multi resolution cervical image.  ...  Wavelet Features Wavelets are useful in multi-resolution analysis of cervical images because they are fast and give better transformation as compared to other transforms such as Contourlet and Curvelet  ... 
doi:10.31557/apjcp.2018.19.12.3571 fatcat:2lph63nh7zfepgdcmnvpeguhr4

Wavelet Based Multifractal Formalism: Applications to DNA Sequences, Satellite Images of the Cloud Structure, and Stock Market Data [chapter]

Alain Arneodo, Benjamin Audit, Nicolas Decoster, Jean-Francois Muzy, Cedric Vaillant
2002 The Science of Disasters  
This is reminiscent of the multiplicative structure along a space-scale tree.  ...  [229] [230] [231] [232] [233] . 2D continuous wavelet transform for multi-scale edge detection The edges of the different structures that appear in an image are often the most important features for  ... 
doi:10.1007/978-3-642-56257-0_2 fatcat:cfufd4eu7rc3vdi73kju3e3qvu

Local Effective Hölder Exponent Estimation on the Wavelet Transform Maxima Tree [chapter]

Zbigniew R. Struzik
1999 Fractals  
The method is motivated by the multiplicative cascade paradigm, and implemented on the hierarchy of singularities revealed with the wavelet transform modulus maxima tree.  ...  Introduction The application of the wavelet transform (modulus maxima) representation of a signal to multi-fractal analysis has almost reached the status of a standard.  ...  The wavelet used is the Mexican hat. Fig. 3 . 3 WTMM representation of the time series and the bifurcations of the WTMM tree. Mexican hat wavelet. maximum.  ... 
doi:10.1007/978-1-4471-0873-3_7 fatcat:of2hehascfdylaljhay3q34imm

Analysis Issues for Large CMB Data Sets [article]

K.M. Gorski, E. Hivon, B.D. Wandelt
1998 arXiv   pre-print
Multi-frequency, high resolution, full sky measurements of the anisotropy in both temperature and polarisation of the cosmic microwave background radiation are the goals of the satellite missions MAP (  ...  Some considerations of the relevant aspects of the mathematical structure of future CMB data sets are presented in this contribution. >>> for better on-screen rendition of the figures see <<< http://www.tac.dk  ...  A simple argument in favour of this states that the data elements which are nearby in a multi-dimensional configuration space (here, on the surface of a sphere), are also nearby in the tree structure of  ... 
arXiv:astro-ph/9812350v1 fatcat:wm5uolwm2nh67i55qph24acmoy
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