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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Approximation (G.1.2) > Wavelets And Fractals (G.1.2...)  
 
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  1-10 of 18 Reviews about "Wavelets And Fractals (G.1.2...)": Date Reviewed
  Framelets and wavelets: algorithms, analysis, and applications
Han B., Birkhäuser Basel, Cham, Switzerland, 2017. 724 pp.  Type: Book (978-3-319685-29-8)

The book describes the theory and application of wavelets and framelets. Particularly, it presents an extensive study of the design of various types of filter banks. The book is part of Springer’s “Applied and Numer...

Jun 29 2018
   Geometric computing: for wavelet transforms, robot vision, learning, control and action
Bayro-Corrochano E., Springer Publishing Company, Incorporated, New York, NY, 2010. 615 pp.  Type: Book (978-1-848829-28-2)

The theory and applications of geometric algebra (Clifford algebra), an advanced mathematical language, are addressed in this book. It aims to clarify the theory and fundamental aspects of the application of geometric algebra to proble...

Oct 5 2010
  An efficient implementation of a 3D wavelet transform based encoder on hyper-threading technology
Bernabé G., Fernández R., García J., Acacio M., González J. Parallel Computing 33(1): 54-72, 2007.  Type: Article

Bernabé et al. report on how to improve the performance of a method to encode medical video sequences on Intel’s hyper-threading processors. They study several parallelization schemes and conclude that existing autom...

Jun 20 2007
   Fractal-based point processes
Lowen S., Teich M., Wiley-Interscience, New York, NY, 2005. 618 pp.  Type: Book (9780471383765)

Fractals are well-known mathematical objects (usually represented geometrically) that have the property of self-similarity at different scales. They may also be described as having noninteger dimensions (or technically, by saying that ...

Aug 10 2006
  Envelope process and computation of the equivalent bandwidth of multifractal flows
Melo C., da Fonseca N. Computer Networks 48(3): 351-375, 2005.  Type: Article

A number of studies have statistically characterized Internet flow traffic as a multifractal process. Knowing the average of, and probable fluctuations in, the amount of work arriving in a given system allows determination of the bandw...

Dec 30 2005
  A wavelet based multiresolution algorithm for rotation invariant feature extraction
Sastry C., Pujari A., Deekshatulu B., Bhagvati C. Pattern Recognition Letters 25(16): 1845-1855, 2004.  Type: Article

In this paper, the authors propose a new wavelet-based representation formula. They verify and justify, through computation, that the formula-generating feature vectors are invariant with respect to rotation. It is shown experimentally...

Aug 5 2005
  Sampling, wavelets, and tomography: applied and numerical harmonic analysis
Benedetto J., Zayed A., Birkhauser Boston, Boston, MA, 2003. 352 pp.  Type: Book (9780817643041)

Even though wavelet analysis is a recent development in mathematics, the classical theory of sampling goes back to the 19th century. Similarly, the foundations of tomography date back to 1917, and were first studied by Radon; its imple...

Dec 8 2004
  Chaos and fractals (2nd ed.)
Peitgen H., Saupe D., Jürgens H., SpringerVerlag, 2004.  Type: Book (9780387202297)

Dynamical systems and fractal geometry began to be studied in the 19th century, and were joined in the 20th century by chaos theory. Interest in this field exploded after Lorenz’s and Mandelbrot’s discoveries, and, ...

Nov 17 2004
  Error-free arithmetic for discrete wavelet transforms using algebraic integers
Wahid K., Dimitrov V., Jullien G.   (Proceedings of the 16th IEEE Symposium on Computer Arithmetic (ARITH-16’03),Jun 15-18, 2003) 238-244, 2003.  Type: Proceedings

Wahid, Dimitrov, and Jullien present an interesting algorithm to encode discrete wavelet transforms based on the Daubechies wavelets of various orders. The scheme uses algebraic integers, which are roots of monic polynomials with integ...

Aug 4 2004
   High-level cache modeling for 2-D discrete wavelet transform implementations
Andreopoulos Y., Schelkens P., Lafruit G., Masselos K., Cornelis J. Journal of VLSI Signal Processing Systems 34(3): 209-226, 2003.  Type: Article

The data-cache performance of various discrete wavelet transform (DWT) production approaches on instruction-set platforms is analyzed in this paper. The authors do not address the arithmetic or instruction-related complexity of these a...

Mar 29 2004
 
 
 
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