Multiresolution Analysis with Pulses

  • Carl H. Rohwer
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 142)


Multiresolution analysis has recently received considerable attention in relation to wavelets. The word “multiresolution” is appropriate in so far as wavelets are local in some sense, and therefore have exponentially decaying impulse response. In image processing it is clear that edges and impulses yield undesirable synthetic features in partially reconstructed images from linear multiscale decompositions. Median decompositions are regarded as better in practice, but computational complexity and lack of theory are problems. An alternative, from mathematical morphology is possible, yielding results demonstrably similar to the median decomposition, but computationally simpler, and having a strong theory for deriving qualitative and quantitative properties.


Wavelet Decomposition Resolution Level Multiresolution Analysis Mathematical Morphology Impulsive Noise 
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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Copyright information

© Birkhäuser Verlag Basel 2002

Authors and Affiliations

  • Carl H. Rohwer
    • 1
  1. 1.Department of MathematicsUniversity of StellenboschMatielandSouth Africa

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