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Adaptation of spherical harmonic transform for color shape reconstruction and retrieval using quaternion algebra

[+] Author Affiliations
Nisrine Dad, Noureddine En-Nahnahi, Said El Alaoui Ouatik

Sidi Mohammed Ben Abdellah University, Laboratory of Informatics and Modeling (LIM), Sciences Faculty Dhar El Mahraz, PO Box 1796, Fez 30003, Morocco

Mohammed Oumsis

Mohammed V-Agdal University, Laboratory of Research in Informatics and Telecommunications (LRIT) Associate Unit to National Centre for Scientific and Technical Research (CNRST) (URAC 29), PO Box 8027 U.N., Rabat 10102, Morocco

Mohammed V-Agdal University, High School of Technology, PO Box 227, Sale 11060, Morocco

J. Electron. Imaging. 25(5), 053026 (Oct 12, 2016). doi:10.1117/1.JEI.25.5.053026
History: Received May 10, 2016; Accepted September 20, 2016
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Abstract.  A set of invariant quaternion moments based on an adaptation of the three-dimensional (3-D) spherical harmonic transform (SHT) for describing two-dimensional color shapes is proposed. The use of quaternions to deal with the color part is beneficial in the way the three color components are integrated in a single feature. An adequate mapping from the 3-D SHT to the unit disc allows a fast and accurate computation of the proposed moments. Experiments are conducted to evaluate the performance of the obtained moments in terms of color image reconstruction, robustness to geometric and photometric transformations, content-based color shape retrieval, and computation time. For this purpose, two image databases (COIL-100 and ALOI) are used. Results illustrate the effectiveness of the proposed moments in dealing with the color information.

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Citation

Nisrine Dad ; Noureddine En-Nahnahi ; Said El Alaoui Ouatik and Mohammed Oumsis
"Adaptation of spherical harmonic transform for color shape reconstruction and retrieval using quaternion algebra", J. Electron. Imaging. 25(5), 053026 (Oct 12, 2016). ; http://dx.doi.org/10.1117/1.JEI.25.5.053026


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