Generic polar harmonic transforms for invariant image representation
Identifieur interne : 000D62 ( Main/Exploration ); précédent : 000D61; suivant : 000D63Generic polar harmonic transforms for invariant image representation
Auteurs : Thai V. Hoang [France] ; Salvatore Tabbone [France]Source :
- Image and Vision Computing [ 0262-8856 ] ; 2014.
English descriptors
Abstract
This paper introduces four classes of rotation-invariant orthogonal moments by generalizing four existing moments that use harmonic functions in their radial kernels. Members of these classes share beneficial properties for image representation and pattern recognition like orthogonality and rotation-invariance. The kernel sets of these generic harmonic function-based moments are complete in the Hilbert space of square-integrable continuous complex-valued functions. Due to their resemble definition, the computation of these kernels maintains the simplicity and numerical stability of existing harmonic function-based moments. In addition, each member of one of these classes has distinctive properties that depend on the value of a parameter, making it more suitable for some particular applications. Comparison with existing orthogonal moments defined based on Jacobi polynomials and eigenfunctions has been carried out and experimental results show the effectiveness of these classes of moments in terms of representation capability and discrimination power.
Url:
DOI: 10.1016/j.imavis.2014.04.016
Affiliations:
- France
- Alsace (région administrative), Grand Est, Lorraine (région)
- Metz, Nancy, Strasbourg
- Université de Lorraine, Université de Strasbourg
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Le document en format XML
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Members of these classes share beneficial properties for image representation and pattern recognition like orthogonality and rotation-invariance. The kernel sets of these generic harmonic function-based moments are complete in the Hilbert space of square-integrable continuous complex-valued functions. Due to their resemble definition, the computation of these kernels maintains the simplicity and numerical stability of existing harmonic function-based moments. In addition, each member of one of these classes has distinctive properties that depend on the value of a parameter, making it more suitable for some particular applications. Comparison with existing orthogonal moments defined based on Jacobi polynomials and eigenfunctions has been carried out and experimental results show the effectiveness of these classes of moments in terms of representation capability and discrimination power.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Alsace (région administrative)</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li><li>Strasbourg</li></settlement><orgName><li>Université de Lorraine</li><li>Université de Strasbourg</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Hoang, Thai V" sort="Hoang, Thai V" uniqKey="Hoang T" first="Thai V." last="Hoang">Thai V. Hoang</name></region><name sortKey="Tabbone, Salvatore" sort="Tabbone, Salvatore" uniqKey="Tabbone S" first="Salvatore" last="Tabbone">Salvatore Tabbone</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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