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Time-scale energy based analysis of contours of real-world shapes

Author

Listed:
  • Bruni, V.
  • Canditiis, D.De
  • Vitulano, D.

Abstract

This paper presents a novel approach for the local analysis of the contour of a planar real world shape. The 1D representation of that contour is a very complicated signal with several non isolated and oscillating singularities, which represent the micro-structure of the shape. The analysis of such a signal is usually difficult because of the presence of spurious phenomena in its time-scale representation, typical of oscillating singularities. The aim of the proposed model is to exploit the time-scale behavior of the energy of wavelet coefficients to extract a particular sequence of scales where those spurious phenomena are strongly reduced. The locality of the wavelet transform is then used to segment the contour into meaningful subregions, in agreement with their local spectral properties. Experimental results show that the proposed model overcomes some limits of existing methods for the analysis of real-world shapes micro-structure.

Suggested Citation

  • Bruni, V. & Canditiis, D.De & Vitulano, D., 2012. "Time-scale energy based analysis of contours of real-world shapes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(12), pages 2891-2907.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:12:p:2891-2907
    DOI: 10.1016/j.matcom.2010.11.013
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    References listed on IDEAS

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    1. Arneodo, A. & Audit, B. & Bacry, E. & Manneville, S. & Muzy, J.F. & Roux, S.G., 1998. "Thermodynamics of fractal signals based on wavelet analysis: application to fully developed turbulence data and DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 24-45.
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    Cited by:

    1. Mastroeni, Loretta & Mazzoccoli, Alessandro & Quaresima, Greta & Vellucci, Pierluigi, 2022. "Wavelet analysis and energy-based measures for oil-food price relationship as a footprint of financialisation effect," Resources Policy, Elsevier, vol. 77(C).
    2. Bruni, V. & Della Cioppa, L. & Vitulano, D., 2020. "An automatic and parameter-free information-based method for sparse representation in wavelet bases," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 73-95.
    3. Loretta Mastroeni & Alessandro Mazzoccoli & Greta Quaresima & Pierluigi Vellucci, 2021. "Wavelet analysis and energy-based measures for oil-food price relationship as a footprint of financialisation effect," Papers 2104.11891, arXiv.org, revised Mar 2022.

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