R. Mukundan, S. H. Ong, and P. A. Lee, Image analysis by Tchebichef moments, IEEE Transactions on Image Processing, vol.10, issue.9, pp.1357-1364, 2001.
DOI : 10.1109/83.941859

G. B. Wang and S. G. Wang, Recursive computation of Tchebichef moment and its inverse transform, Pattern Recognition, vol.39, issue.1, pp.47-56, 2006.
DOI : 10.1016/j.patcog.2005.05.015

H. Z. Shu, H. Zhang, and B. J. Chen, Fast computation of Tchebichef moments for binary and grayscale images, IEEE Trans. Image Process, vol.19, issue.12, pp.3171-3180, 2010.
URL : https://hal.archives-ouvertes.fr/inserm-00503235

B. H. Asli, R. Paramesran, and C. L. Lim, The fast recursive computation of Tchebichef moment and its inverse transform based on Z-transform, Digital Signal Processing, vol.23, issue.5, pp.1738-1746, 2013.
DOI : 10.1016/j.dsp.2013.05.004

H. Zhang, H. , X. B. Dai, and P. Sun, Symmetric image recognition by Tchebichef moment invariants, 2010 IEEE International Conference on Image Processing, pp.2273-2276, 2010.
DOI : 10.1109/ICIP.2010.5654131

J. V. Marcos and G. Cristóbal, Texture classification using discrete Tchebichef moments, Journal of the Optical Society of America A, vol.30, issue.8, pp.1580-1591, 2013.
DOI : 10.1364/JOSAA.30.001580
URL : http://hdl.handle.net/10261/83795

X. B. Dai, H. Z. Shu, and L. M. Luo, Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments, Pattern Recognition, vol.43, issue.3, pp.1152-1164, 2010.
DOI : 10.1016/j.patcog.2009.07.009
URL : https://hal.archives-ouvertes.fr/inserm-00421043

H. Huang, G. Coatrieux, and H. Z. Shu, Blind Integrity Verification of Medical Images, IEEE Transactions on Information Technology in Biomedicine, vol.16, issue.6, pp.1122-1126, 2012.
DOI : 10.1109/TITB.2012.2207435
URL : https://hal.archives-ouvertes.fr/hal-00940409

S. M. Elshoura and D. B. Megherbi, Analysis of noise sensitivity of Tchebichef and Zernike moments with application to image watermarking, Journal of Visual Communication and Image Representation, vol.24, issue.5, pp.567-578, 2013.
DOI : 10.1016/j.jvcir.2013.03.021

J. Cao, D. H. Mao, and Q. Cai, A review of object representation based on local features, Journal of Zhejiang University SCIENCE C, vol.14, issue.7, pp.495-504, 2013.
DOI : 10.1631/jzus.CIDE1303

Z. Chen and S. K. Sun, A Zernike Moment Phase-Based Descriptor for Local Image Representation and Matching, IEEE Transactions on Image Processing, vol.19, issue.1, pp.205-219, 2010.
DOI : 10.1109/TIP.2009.2032890

V. Christlein, C. Riess, and J. Jordan, An Evaluation of Popular Copy-Move Forgery Detection Approaches, IEEE Transactions on Information Forensics and Security, vol.7, issue.6, pp.1841-1854, 2012.
DOI : 10.1109/TIFS.2012.2218597

S. J. Ryu, M. Kirchner, and M. J. Lee, Rotation invariant localization of duplicated image regions based on Zernike moments, IEEE Trans. Inf. Foren. Sec, vol.8, issue.8, pp.1355-1370, 2013.

J. A. Macias and A. G. Exposito, Recursive formulation of short-time discrete trigonometric transforms, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol.45, issue.4, pp.525-527, 1998.
DOI : 10.1109/82.663812

V. Kober, Fast Algorithms for the Computation of Sliding Discrete Sinusoidal Transforms, IEEE Transactions on Signal Processing, vol.52, issue.6, pp.1704-1710, 2004.
DOI : 10.1109/TSP.2004.827184

V. Kober, Fast Algorithms for the Computation of Sliding Discrete Hartley Transforms, IEEE Transactions on Signal Processing, vol.55, issue.6, pp.2937-2944, 2007.
DOI : 10.1109/TSP.2007.893960

B. Farhang-boroujeny and S. Gazor, Generalized sliding FFT and its application to implementation of block LMS adaptive filters, IEEE Transactions on Signal Processing, vol.42, issue.3, pp.532-538, 1994.
DOI : 10.1109/78.277845

C. Park and S. Ko, The Hopping Discrete Fourier Transform [sp Tips&Tricks], IEEE Signal Processing Magazine, vol.31, issue.2, pp.135-139, 2014.
DOI : 10.1109/MSP.2013.2292891

W. L. Ouyang and W. K. Cham, Fast Algorithm for Walsh Hadamard Transform on Sliding Windows, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.1, pp.165-171, 2010.
DOI : 10.1109/TPAMI.2009.104

J. A. Macias and A. G. Exposito, Efficient Computation of the Running Discrete Haar Transform, IEEE Transactions on Power Delivery, vol.21, issue.1, pp.504-505, 2006.
DOI : 10.1109/TPWRD.2005.859289

J. S. Wu, L. Wang, and G. Y. Yang, Sliding Conjugate Symmetric Sequency-Ordered Complex Hadamard Transform: Fast Algorithm and Applications, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.59, issue.6, pp.1321-1334, 2012.
DOI : 10.1109/TCSI.2011.2173386
URL : https://hal.archives-ouvertes.fr/inserm-00530948

E. Jacobsen and R. Lyons, The sliding DFT, IEEE Signal Process. Mag, vol.20, issue.2, pp.74-80, 2003.

K. Duda, Accurate, guaranteed stable, sliding discrete Fourier transform, IEEE Signal Process. Mag, vol.27, issue.6, pp.124-127, 2010.

R. Tao, Y. L. Li, and Y. Wang, Short-Time Fractional Fourier Transform and Its Applications, IEEE Transactions on Signal Processing, vol.58, issue.5, pp.2568-2580, 2010.
DOI : 10.1109/TSP.2009.2028095

B. Mozafari and M. H. Savoji, An efficient recursive algorithm and an explicit formula for calculating update vectors of running walsh-hadamard transform, 2007 9th International Symposium on Signal Processing and Its Applications, pp.1-4, 2007.
DOI : 10.1109/ISSPA.2007.4555315

W. L. Ouyang, R. Zhang, and W. K. Cham, Fast pattern matching using orthogonal Haar transform, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.3050-3057, 2010.
DOI : 10.1109/CVPR.2010.5540058

C. M. Orallo, I. Carugati, and S. Maestri, Harmonics Measurement With a Modulated Sliding Discrete Fourier Transform Algorithm, IEEE Transactions on Instrumentation and Measurement, vol.63, issue.4, pp.781-793, 2014.
DOI : 10.1109/TIM.2013.2287801

J. Martinez and F. Thomas, Efficient computation of local geometric moments, IEEE Transactions on Image Processing, vol.11, issue.9, pp.1102-1111, 2002.
DOI : 10.1109/TIP.2002.802532

P. T. Yap and P. Raveendran, Image focus measure based on Chebyshev moments, Proc.-Vision, Image and Signal Process, pp.128-136, 2004.
DOI : 10.1049/ip-vis:20040395

B. J. Chen, H. Z. Shu, and H. Zhang, Combined Invariants to Similarity Transformation and to Blur Using Orthogonal Zernike Moments, IEEE Transactions on Image Processing, vol.20, issue.2, pp.345-360, 2011.
DOI : 10.1109/TIP.2010.2062195

J. Fridrich, D. Soukal, J. Luká, and $. , Detection of copy-move forgery in digital images, Proc. Digital Forensic Research Workshop, 2003.

J. Li, X. L. Li, and B. Yang, Segmentation-based image copy-move forgery detection scheme, IEEE Trans. Inf. Foren. Sec, vol.10, issue.3, pp.507-518, 2015.

J. N. Xiao, Y. Z. Jia, and E. D. Fu, Audio authenticity: Duplicated audio segment detection in waveform audio file, Journal of Shanghai Jiaotong University (Science), vol.5, issue.3, pp.392-397, 2014.
DOI : 10.1007/s12204-014-1515-5

J. S. Garofalo, L. F. Lamel, and W. M. Fisher, The DARPA TIMIT Acoustic-Phonetic Continuous Speech Corpus CDROM, Linguistic Data Consortium, 1993.

M. Li, Z. Gu, and J. Kan, Passive digital image authentication algorithm based on Tchebichef moment invariants, Fourth International Seminar on Modern Cutting and Measurement Engineering, pp.79972-79972, 2010.
DOI : 10.1117/12.892167

J. Louis, C. Received, and . Ph, State Doctorate in Sciences in 1973 and 1983, respectively, from the University of Rennes 1 Since 1986, he has been Director of Research at the National Institute for Health and Medical Research (INSERM), France, and since 1993 has been Professor at the New Jersey Institute of Technology, USA. He has been the Head of the Laboratoire Traitement du Signal et de l'Image, INSERM, up to His experience is related to 3D images, signal processing, computational modeling and complex systems with applications in integrative biomedicine He published more than 300, 2003.