Interpolation using cosine transforms generalized to Lie groups

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6064, Issue , 2006, Pages

  Patera, J ^a   Zaratsyan, A ^a   Zhu, H ^b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b YORK UNIVERSITY   (Canada)

Author keywords

C functions; Cosine transform; Interpolation; Lie groups

Indexed keywords

ALGORITHMS; FUNCTIONS; IMAGE COMPRESSION; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS;

C-FUNCTIONS; COSINE TRANSFORM; LIE GROUPS;

IMAGE PROCESSING;

EID: 33645673705     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.650435     Document Type: Conference Paper

References (10)

1. Z. Wang, "Interpolation using type i discrete cosine transform," Electron. Lett. 26, pp. 1170-1171, 1990.
2. J. I. Agbinya, "Two dimensional interpolation of real sequences using the dct," Electron. Lett. 29, pp. 204-205, 1993.
3. N. Nguyen and P. Milanfar, "A wavelet-based interpolation-restoration methods in superresolution," Circuits Systems Signal Process 19, pp. 321-338, 2000.
4. L. Yaroslavsky, "Fast signal sinc-interpolation and its applications in signal and image processing," Image Processing: Algorithms and Systems, Proceedings of SPIE 4667, 2002.
5. J. Patera and A. Zaratsyan, "Cosine transform generalized to Lie groups SU(3) and G(2)," J. Math. Phys. 46, pp. 113506-113523, 2005.
6. R. Moody and J. Patera, "Elements of finite order in Lie groups and their applications," XIII Int. Colloq. on Group Theoretical Methods in Physics., pp. 308-318, 1984.
7. R. Moody and J. Patera, "Computation of character decompositions of class functions on compact semisimple Lie groups," Math. Comp. 48, p. 799827, 1987.
8. A. Atoyan and J. Patera, "Continuous extension of the discrete cosine transform, and its applications to data processing," Proceedings of the Workshop on Group Theory and Numerical Methods, May 26-31, Montreal, 2003.
9. J. Patera and A. Zaratsyan, "Cosine transform generalized to Lie groups SU(2) × SU(2) and O(5)," J. Math. Phys. 46, pp. 053514-053539, 2005.
10. V. S. A. Atoyan, J. Patera and A. Akhperjanian, "Fourier transform method for imaging atmospheric cherenkov telescopes," Astroparticle Phys. 23, pp. 79-95, 2005.