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An optimized algorithm for the evaluation of local singularity exponents in digital signals

Abstract : Recent works show that the determination of singularity exponents in images can be useful to assess their information content, and in some cases they can cast additional information about underlying physical processes. However, the concept of singularity exponent is associated to differential calculus and thus cannot be easily translated to a digital context, even using wavelets. In this work we show that a recently patented algorithm allows obtaining precise, meaningful values of singularity exponents at every point in the image by the use of a discretized combinatorial mask, which is an extension of a particular wavelet basis. This mask is defined under the hypothesis that singularity exponents are a measure not only of the degree of regularity of the image, but also of the reconstructibility of a signal from their points.
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Submitted on : Monday, April 18, 2011 - 9:58:16 PM
Last modification on : Saturday, June 25, 2022 - 7:43:01 PM
Long-term archiving on: : Tuesday, July 19, 2011 - 2:22:58 AM


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  • HAL Id : inria-00581057, version 1



Oriol Pont, Antonio Turiel, Hussein Yahia. An optimized algorithm for the evaluation of local singularity exponents in digital signals. 14th International Workshop, IWCIA 2011, May 2011, Madrid, Spain. pp.346-357. ⟨inria-00581057⟩



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