New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

Haiyong Wu 1, * Jean-Louis Coatrieux 2, 3 Huazhong Shu 1, 3
* Auteur correspondant
1 LIST - Laboratory of Image Science and Technology [Nanjing]
2 LTSI - Laboratoire Traitement du Signal et de l'Image
3 CRIBS - Centre de Recherche en Information Biomédicale sino-français
Abstract : Scale invariants of Tchebichef moments are usually achieved by a linear combination of corresponding invariants of geometric moments or via an iterative algorithm to eliminate the scale factor. According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments. An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants. Several experiments are carried out to validate the effectiveness of our descriptors and algorithm.
Keywords : TRANSLATION IMAGE-ANALYSIS PATTERN RECOGNITION
Type de document :
Article dans une revue
Mathematical Problems in Engineering, Hindawi Publishing Corporation, 2013, pp.813606. 〈10.1155/2013/813606〉
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https://www.hal.inserm.fr/inserm-00839754
Contributeur : Lotfi Senhadji <>
Soumis le : lundi 1 juillet 2013 - 14:38:29
Dernière modification le : mercredi 16 mai 2018 - 11:23:40
Document(s) archivé(s) le : mercredi 2 octobre 2013 - 04:10:40

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Haiyong Wu, Jean-Louis Coatrieux, Huazhong Shu. New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments. Mathematical Problems in Engineering, Hindawi Publishing Corporation, 2013, pp.813606. 〈10.1155/2013/813606〉. 〈inserm-00839754〉

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