Generalized dual Hahn moment invariants

E. G. Karakasis, G. A. Papakostas, D. E. Koulouriotis, V. D. Tourassis

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In this work we introduce a generalized expression of the weighted dual Hahn moment invariants up to any order and for any value of their parameters. In order for the proposed invariants to be formed, the weighted dual Hahn moments (up to any order and for any value of their parameters) are expressed as a linear combination of geometric ones. For this reason a formula expressing the nth degree dual Hahn polynomial, for any value of its parameters, as a linear combination of monomials (cr·xr), is proved. In addition, a recurrent relation for the fast computation of the aforementioned monomials coefficients (cr) is also given. Moreover, normalization aspects of the generalized weighted dual Hahn moment invariants are discussed, while a modification of them is proposed in order to avoid their numerical instabilities. Finally, experimental results and classification scenarios, including datasets of natural scenes, evaluate the proposed methodology.

Original languageEnglish
Pages (from-to)1998-2014
Number of pages17
JournalPattern Recognition
Volume46
Issue number7
DOIs
Publication statusPublished - Jul 2013
Externally publishedYes

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Polynomials

Keywords

  • Classification
  • Computer vision
  • Discrete orthogonal polynomials
  • Dual Hahn moment invariants
  • Geometric moments
  • Orthogonal moments
  • Pattern recognition
  • Weighted

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Computer Vision and Pattern Recognition
  • Signal Processing

Cite this

Karakasis, E. G., Papakostas, G. A., Koulouriotis, D. E., & Tourassis, V. D. (2013). Generalized dual Hahn moment invariants. Pattern Recognition, 46(7), 1998-2014. https://doi.org/10.1016/j.patcog.2013.01.008

Generalized dual Hahn moment invariants. / Karakasis, E. G.; Papakostas, G. A.; Koulouriotis, D. E.; Tourassis, V. D.

In: Pattern Recognition, Vol. 46, No. 7, 07.2013, p. 1998-2014.

Research output: Contribution to journalArticle

Karakasis, EG, Papakostas, GA, Koulouriotis, DE & Tourassis, VD 2013, 'Generalized dual Hahn moment invariants', Pattern Recognition, vol. 46, no. 7, pp. 1998-2014. https://doi.org/10.1016/j.patcog.2013.01.008
Karakasis, E. G. ; Papakostas, G. A. ; Koulouriotis, D. E. ; Tourassis, V. D. / Generalized dual Hahn moment invariants. In: Pattern Recognition. 2013 ; Vol. 46, No. 7. pp. 1998-2014.
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