Invariant object recognition based on the generalized discrete radon transform

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5439, Issue , 2004, Pages 164-174

  Easley, Glenn R ^a   Colonna, Flavia ^b  

^a System Planning Corporation   (United States)

^b GEORGE MASON UNIVERSITY   (United States)

Author keywords

Neural Networks; Radon; Recognition; Ridgelets; Rotational Invariant; Wavelets

Indexed keywords

RECOGNITION; RIDGELETS; ROTATIONAL INVARIANT;

APPROXIMATION THEORY; COMPUTATIONAL METHODS; INTERPOLATION; MEDICAL APPLICATIONS; NEURAL NETWORKS; RADON; VECTORS; WAVELET TRANSFORMS;

OBJECT RECOGNITION;

EID: 3543146562     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.541134     Document Type: Conference Paper

References (21)

1. O. K. Al-Shaykh and J. F. Doherty, "Invariant image analysis based on Radon transform and SVD," Circuits and Systems II, IEEE Transactions on 43, pp. 123-133, 1996.
2. S. D. You and G. E. Ford, "Object recognition based on projection," Neural Networks, IJCNN., International Joint Conference on 4, pp. 31-36, 1992.
3. A. Khotanzad and Y. H. Hong, "Invariant image recognition by zernike moments," Pattern Analysis and Machine Intelligence, IEEE Transactions on 12, pp. 489-497, 1990.
4. M. Fukumi, S. Omatu, and Y. Nishikawa, "Rotation-invariant neural pattern recognition system estimating a rotation angle," Neural Networks, IEEE Transactions on 8, pp. 568-581, 1997.
5. C. M. Pun and M. C. Lee, "Log-Polar wavelet energy signatures for rotation and scale invariant texture classification," Pattern Analysis and Machine Intelligence, IEEE Transactions on 25, pp. 590-603, 2003.
6. A. Avenbuch, R. Coifman, D. Donoho, M. Israeli, and J. Waidén, "Fast Slant Stack: A notion of Radon transform for data in a Cartesian grid which is rapidly computable, algebraically exact, geometrically faithful and invertible," preprint, 2003.
7. G. R. Easley and F. Colonna, "Geometric transforms and their applications to SAR speckle reduction," Proc. of SPIE Algorithms for Synthetic Aperture Radar Imagery X 5095, 2003.
8. J.-L. Stark, E. Candès, and D. Donoho, "The curvelet transform for image denoising," Image Processing, IEEE Transactions on 11, pp. 670-684, 2002.
9. M. L. Brady, "A fast discrete approximation algorithm for the Radon transform," SIAM J. Comput. 27(1), pp. 107-119 (electronic), 1998.
10. H. Burkhardt and X. Müller, "On invariant sets of a certain class of fast translation-invariant transforms," Acoustics, Speech, and Signal Processing, IEEE Transactions on 28, pp. 517-523, 1980.
11. S. Haykin, Neural Networks: A comprehensive foundation, Prentice Hall, New Jersey, 1999.
12. A. Avenbuch, R. Coifman, D. Donoho, and M. Elad, M. Israeli, "Accurate and Fast Discrete Polar Fourier Transfom," preprint, 2003.
13. S. W. Lee and H. H. Song, "A new recurrent neural-network architecture for visual pattern recognition," Neural Networks, IEEE Transactions on 8, pp. 331-340, 1997.
14. E. D. Bolker, "The finite Radon transform," in Integral geometry (Brunswick, Maine, 1984), pp. 27-50, Amer. Math. Soc., Providence, RI, 1987.
15. J. P. S. Kung, "Matchings and Radon transforms in lattices. II. Concordant sets," Math Proc. Camb. Phil. Soc. 101, pp. 221-231, 1987.
16. A. M. Cormack, "Representation of a function by its line integrals, with some radiological applications," J. Appl. Phys. 35, pp. 195-207, 1964.
17. M. Do and M. Vertilli, "Image denoising using orthonormal finite ridgelet transform," Proc. of SPIE Conference on Wavelet Applications in Signal and Image Processing VIII 4119, 2000.
18. M. N. Do and M. Vetterli, "The finite ridgelet transform for image representation," Technical Report DSC/2001/019, Communication Systems Department, EPFL, 2001.
19. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, New York, 1998.
20. T. Hsung, D. P. Lun, and W.-C. Siu, "The Discrete Periodic Radon Transform," Signal Processing, IEEE Transactions on 44, pp. 2651-2657, 1996.
21. F. Natterer, The Mathematics of Computerized Tomography, Wiley-Teubner, 1986.