Errata and comments on "Generic orthogonal moments: Jacobi-Fourier moments for invariant image description"
Identifieur interne : 001720 ( Main/Exploration ); précédent : 001719; suivant : 001721Errata and comments on "Generic orthogonal moments: Jacobi-Fourier moments for invariant image description"
Auteurs : Thai V. Hoang [France] ; Salvatore Tabbone [France]Source :
- Pattern recognition [ 0031-3203 ] ; 2013.
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Abstract
Ping et al. [Z. Ping, H. Ren, J. Zou, Y. Sheng, and W. Bo, Generic orthogonal moments: Jacobi-Fourier moments for invariant image description, Pattern Recognition 40 (4) (2007) 1245-1254] made a landmark contribution to the theory of two-dimensional orthogonal moments confined to the unit disk by unifying the radial kernels of existing polynomial-based circular orthogonal moments under the roof of shifted Jacobi polynomials. However, the work contains some errata that result mainly from the confusion between the two slightly different definitions of shifted Jacobi polynomials in the literature. Taking into account the great importance and the high impact of the work in the pattern recognition community, this paper points out the confusing points, corrects the errors, and gives some other relevant comments. The corrections developed in this paper are illustrated by some experimental evidence.
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Hoang</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Bureau B127, Inria Nancy-Grand Est, 615 rue du Jardin Botanique</s1><s2>54600 Villers-lès-Nancy</s2><s3>FRA</s3><sZ>1 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region><settlement type="city">Villers-lès-Nancy</settlement></placeName></affiliation></author><author><name sortKey="Tabbone, Salvatore" sort="Tabbone, Salvatore" uniqKey="Tabbone S" first="Salvatore" last="Tabbone">Salvatore Tabbone</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>University of Lorraine, LORIA</s1><s2>54506 Vandœuvre-lès-Nancy</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region><settlement type="city">Vandœuvre-lès-Nancy</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">Pattern recognition</title><title level="j" type="abbreviated">Pattern recogn.</title><idno type="ISSN">0031-3203</idno><imprint><date when="2013">2013</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Pattern recognition</title><title level="j" type="abbreviated">Pattern recogn.</title><idno type="ISSN">0031-3203</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Chebyshev polynomial</term><term>Error correction</term><term>Image recognition</term><term>Jacobi method</term><term>Kernel method</term><term>Legendre polynomial</term><term>Mellin transformation</term><term>Moment method</term><term>Pattern recognition</term><term>Two dimensional model</term><term>Zernike polynomial</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Reconnaissance image</term><term>Reconnaissance forme</term><term>Modèle 2 dimensions</term><term>Méthode noyau</term><term>Méthode Jacobi</term><term>Correction erreur</term><term>Polynôme Legendre</term><term>Polynôme Tchebychev</term><term>Polynôme Zernike</term><term>Méthode moment</term><term>Transformation Mellin</term></keywords><keywords scheme="mix" xml:lang="en"><term>Chebyshev polynomials</term><term>Chebyshev--Fourier moments</term><term>Jacobi polynomials</term><term>Legendre polynomials</term><term>Zernike moments</term><term>orthogonal Fourier--Mellin moments</term><term>pseudo-Jacobi--Fourier moments</term><term>pseudo-Zernike moments</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Ping et al. [Z. Ping, H. Ren, J. Zou, Y. Sheng, and W. Bo, Generic orthogonal moments: Jacobi-Fourier moments for invariant image description, Pattern Recognition 40 (4) (2007) 1245-1254] made a landmark contribution to the theory of two-dimensional orthogonal moments confined to the unit disk by unifying the radial kernels of existing polynomial-based circular orthogonal moments under the roof of shifted Jacobi polynomials. However, the work contains some errata that result mainly from the confusion between the two slightly different definitions of shifted Jacobi polynomials in the literature. Taking into account the great importance and the high impact of the work in the pattern recognition community, this paper points out the confusing points, corrects the errors, and gives some other relevant comments. The corrections developed in this paper are illustrated by some experimental evidence.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Vandœuvre-lès-Nancy</li><li>Villers-lès-Nancy</li></settlement></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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