T. Ahonen, A. Hadid, and M. Pietikainen, Face description with local binary patterns: Application to face recognition. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.28, pp.2037-2041, 2006.

F. S. Andrade, J. Almeida, H. Pedrini, S. Torres, and R. , Fusion of Local and Global Descriptors for Content-Based Image and Video Retrieval, Progress in Pattern Recognition, pp.845-853, 2012.
DOI : 10.1007/978-3-642-33275-3_104

K. Arbter, W. Snyder, H. Burkhardt, and G. Hirzinger, Application of affineinvariant fourier descriptors to recognition of 3-d objects. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.12, pp.640-647, 1990.

T. Batard, M. Berthier, and C. Saint-jean, Clifford???Fourier Transform for Color Image Processing, Geometric Algebra Computing in Engineering and Computer Science, pp.135-161, 2010.
DOI : 10.1007/978-1-84996-108-0_8
URL : https://hal.archives-ouvertes.fr/hal-00332912

G. Bornard, J. P. Gauthier, and M. Silbermann, Mouvements et traitement d'images, Traitement du Signal, vol.6, pp.281-290, 1986.

R. Bracewell, The Fourier Transform and Its Applications, American Journal of Physics, vol.34, issue.8, 1986.
DOI : 10.1119/1.1973431

C. C. Chang and C. J. Lin, LIBSVM, ACM Transactions on Intelligent Systems and Technology, vol.2, issue.3, 2001.
DOI : 10.1145/1961189.1961199

O. Chapelle, P. Haffner, and V. Vapnik, Support vector machines for histogram-based image classification, IEEE Transactions on Neural Networks, vol.10, issue.5, pp.1055-1064, 1999.
DOI : 10.1109/72.788646

R. L. Cosgriff, Identification of shape, 1960.

S. Derrode and F. Ghorbel, Robust and Efficient Fourier???Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description, Computer Vision and Image Understanding, vol.83, issue.1, pp.57-78, 2001.
DOI : 10.1006/cviu.2001.0922

R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, 2001.

T. A. Ell, Hypercomplex spectral transformations, 1992.

T. A. Ell and S. J. Sangwine, Hypercomplex Fourier Transforms of Color Images, IEEE Transactions on Image Processing, vol.16, issue.1, pp.22-35, 2007.
DOI : 10.1109/TIP.2006.884955

M. Fenn, S. Kunis, and D. Potts, On the computation of the polar FFT, Applied and Computational Harmonic Analysis, vol.22, issue.2, pp.257-263, 2007.
DOI : 10.1016/j.acha.2006.05.009

J. Flusser, T. Suk, and B. Zitovà, Moments and Moment Invariants in Pattern Recognition, 2009.
DOI : 10.1002/9780470684757

F. Ghorbel, Application de la transformée de fourier généralisée auprobì eme de l'invariance en reconnaissance de formes a niveaux de gris, Groupe d'Etudes du Traitement du Signal et des Images (GRETSI), pp.791-794, 1993.

A. E. Grace and M. Spann, A comparison between Fourier-Mellin descriptors and moment based features for invariant object recognition using neural networks, Pattern Recognition Letters, vol.12, issue.10, pp.635-643, 1991.
DOI : 10.1016/0167-8655(91)90018-H

L. Q. Guo and M. Zhu, Quaternion Fourier???Mellin moments for color images, Pattern Recognition, vol.44, issue.2, pp.187-195, 2011.
DOI : 10.1016/j.patcog.2010.08.017

D. Hestenes and G. Sobczyk, Clifford Algebra to Geometric Calculus : A Unified Language for Mathematics and Physics. volume 5 of Fundamental Theories of Physics, 1987.
DOI : 10.1007/978-94-009-6292-7

M. K. Hu, Visual pattern recognition by moment invariants, IEEE Transactions on Information Theory, vol.8, pp.179-187, 1962.

A. K. Jain, M. N. Murty, and P. J. Flynn, Data clustering: a review, ACM Computing Surveys, vol.31, issue.3, pp.264-323, 1999.
DOI : 10.1145/331499.331504

H. Liu, B. Guo, and Z. Feng, Pseudo-log-polar fourier transform for image registration, Signal Processing Letters IEEE, vol.13, pp.17-20, 2006.

D. G. Lowe, Object recognition from local scale-invariant features, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.1150-1157, 1999.
DOI : 10.1109/ICCV.1999.790410
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.4065

J. Mennesson, C. Saint-jean, and L. Mascarilla, New geometric fourier descriptors for color image recognition, 2010 IEEE International Conference on Image Processing, pp.2685-2688, 2010.
DOI : 10.1109/ICIP.2010.5651939
URL : https://hal.archives-ouvertes.fr/hal-00599963

J. Mennesson, C. Saint-jean, and L. Mascarilla, Color object recognition based on a clifford fourier transform Guide to Geometric Algebra in Practice, pp.175-191, 2011.

J. Mennesson, C. Saint-jean, and L. Mascarilla, Un nouvel ensemble de descripteurs de Fourier Clifford pour les images couleur. Les GCFD3, Traitement du signal, vol.29, issue.3-4-5, pp.359-382, 2012.
DOI : 10.3166/ts.29.359-382
URL : https://hal.archives-ouvertes.fr/hal-00656528

K. Mikolajczyk and C. Schmid, A performance evaluation of local descriptors, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.27, issue.10, pp.1615-1630, 2005.
DOI : 10.1109/TPAMI.2005.188
URL : https://hal.archives-ouvertes.fr/inria-00548227

S. A. Nene, S. K. Nayar, and H. Murase, Columbia object image library (coil-100), 1996.

P. J. Phillips, H. Wechsler, J. Huang, and P. Rauss, The FERET database and evaluation procedure for face-recognition algorithms, Image and Vision Computing, vol.16, issue.5, pp.295-306, 1998.
DOI : 10.1016/S0262-8856(97)00070-X

E. Rosten, R. Porter, and T. Drummond, Faster and Better: A Machine Learning Approach to Corner Detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.1, pp.105-119, 2010.
DOI : 10.1109/TPAMI.2008.275

S. J. Sangwine and T. A. Ell, The discrete fourier transform of a colour image, Image Processing II: Mathematical Methods, Algorithms and Applications Institute of Mathematics and its Applications, pp.430-441, 2000.

Y. Sheng and H. H. Arsenault, Experiments on pattern recognition using invariant Fourier???Mellin descriptors, Journal of the Optical Society of America A, vol.3, issue.6, pp.771-776, 1986.
DOI : 10.1364/JOSAA.3.000771

C. Singh and P. Sharma, Performance analysis of various local and global shape descriptors for image retrieval, Multimedia Systems, vol.29, issue.4, pp.339-357, 2013.
DOI : 10.1007/s00530-012-0288-7

F. Smach, C. Lema??trelema??tre, J. P. Gauthier, J. Mitéran, and M. Atri, Generalized Fourier Descriptors with Applications to Objects Recognition in??SVM Context, Journal of Mathematical Imaging and Vision, vol.16, issue.1, pp.43-71, 2008.
DOI : 10.1007/s10851-007-0036-3
URL : https://hal.archives-ouvertes.fr/hal-00647554

M. R. Teague, Image analysis via the general theory of moments*, Journal of the Optical Society of America, vol.70, issue.8, pp.920-930, 1917.
DOI : 10.1364/JOSA.70.000920

V. N. Vapnik, Statistical Learning Theory, 1998.

V. F. Zernike, Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode, Physica, vol.1, issue.7-12, pp.689-704, 1934.
DOI : 10.1016/S0031-8914(34)80259-5

D. Zhang and G. Lu, Shape-based image retrieval using generic Fourier descriptor, Signal Processing: Image Communication, vol.17, issue.10, pp.825-848, 2002.
DOI : 10.1016/S0923-5965(02)00084-X