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A Pyramidal Haar-Transform Implementation

  • Luigi Carrioli

Abstract

The one-dimensional Haar functions set, used to built the homonymous transform, is defined in the interval (0,1) in this way:
$$\begin{gathered} \begin{array}{*{20}{c}} p \\ {HAR\left( {2 + n,x} \right) = } \end{array}\left[ {\begin{array}{*{20}{c}} {{2^{p/2}} for \frac{n}{{{2^p}}} \leqslant X < \frac{{\left( {n + 1/2} \right)}}{{{2^p}}}} \\ { - {2^{p/2}} for \frac{{\left( {n + 1/2} \right)}}{{{2^p}}} \leqslant X < \frac{{n + 1}}{{{2^p}}}} \\ {0 elsewhere} \end{array}} \right. \hfill \\ p = 1,2, \ldots n = 0,1, \ldots ,{2^p} - 1 \hfill \\ \end{gathered} $$

Keywords

Digital Image Processing Integrate Technology Parallel Image Global Phase Processor Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • Luigi Carrioli
    • 1
  1. 1.Dipartimento di Informatica e SistemisticaPavia UniversityPaviaItaly

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