Fuzzy Morphological Polynomial Image Representation

Clicks: 316
ID: 78739
2010
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Ranked #11 of 27 articles by views in eurasip journal on advances in signal processing

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Abstract
A novel signal representation using fuzzy mathematical morphology is developed. We take advantage of the optimum fuzzy fitting and the efficient implementation of morphological operators to extract geometric information from signals. The new representation provides results analogous to those given by the polynomial transform. Geometrical decomposition of a signal is achieved by windowing and applying sequentially fuzzy morphological opening with structuring functions. The resulting representation is made to resemble an orthogonal expansion by constraining the results of opening to equate adapted structuring functions. Properties of the geometric decomposition are considered and used to calculate the adaptation parameters. Our procedure provides an efficient and flexible representation which can be efficiently implemented in parallel. The application of the representation is illustrated in data compression and fractal dimension estimation temporal signals and images.
Reference Key
huang2010fuzzyeurasip Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Huang, Chin-Pan;Chaparro, Luis F.;
Journal eurasip journal on advances in signal processing
Year 2010
DOI
DOI not found
URL
http://dx.doi.org/10.1155/2010/914921
Keywords
Computer applications to medicine. Medical informatics Science telecommunication electronics print media

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