Modelling and simulation of images by reciprocal processes

Proceedings - UKSim 10th International Conference on Computer Modelling and Simulation, EUROSIM/UKSim2008

Volumn , Issue , 2008, Pages 513-518

  Picci, Giorgio ^a   Carli, Francesca ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; HIDDEN MARKOV MODELS; MATHEMATICAL MODELS; MODAL ANALYSIS; PARAMETER ESTIMATION; RANDOM PROCESSES; STATE SPACE METHODS; STATISTICAL METHODS; TIME SERIES ANALYSIS;

BLOCK-CIRCULANT MATRICES; COMPUTER MODELLING; DESCRIPTOR; ESTIMATION AND IDENTIFICATION; FOURIER METHODS; INTERNATIONAL CONFERENCES; LINEAR STATE-SPACE MODELS; MARKOV RANDOM FIELDS; MODELLING AND SIMULATION; NUMERICAL - TECHNIQUES; OBSERVED DATA; RECIPROCAL PROCESSES; SPECIAL CLASS; STATISTICAL ESTIMATION; TIME-SERIES;

STOCHASTIC MODELS;

EID: 50149084125     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/UKSIM.2008.49     Document Type: Conference Paper

References (17)

1. N. Balram and J. Moura. Noncausal Gauss Markov random fields: parameter structure and estimation. IEEE Trans. Information Theory, IT-39(4):1333-1355, 1993.
2. O. Barndorff-Nielsen. Information and Exponential Families in Statistical Theory. Wiley, Chichester, 1978.
3. R. Chellapa and R. L. Kashyap. Digital image restoration using spatial interacton models. IEEE Trans. Automatic Control, AC-35(9):1013-1023, 1990.
4. A. Chiuso, A. Ferrante, and G. Picci. Reciprocal realization and modeling of textured images. In Proceedings of the 44rd IEEE Conference on Decision and Control, Seville, Spain, December 2005.
5. E. Cripps, C. Carter, and R. Kohn. Variable selection and covariance selection in multivariate regression models. Technical report, University of NSW, 2004.
6. A. Dembo, C. L. Mallos, and L. Shepp. Embedding nonnegative definite Toeplitz matrices in nonnegative definite circulant matrices with application to covariance estimation. IEEE Trans. Information Theory, IT-35:1206-1212, 1989.
7. A. Dempster. Covariance selection. Biometrics, 28:157-175, 1972.
8. H. Dym and I. Gohberg. Extension of band matrices with band inverses. Linear Algebra and Applications, 36:1-24, 1981.
9. S. Geman and D. Geman. Stochastic relaxation, Gibbs distribution and Bayesian restoration of images. IEEE Trans. on Pattern Analysis and Machine Intelligence, PAMI-6:721-741, 1984.
10. I. Gohberg, Goldberg, and M. Kaashoek. Classes of Linear Operators vol II. Birkhauser, Boston, 1994.
11. R. M. Gray. Toeplitz and Circulant Matrices:. Wiley, 1979.
12. B. Jamison. Reciprocal processes: the stationary Gaussian case. Ann. Math Stat., 41:1624-1630, 1970.
13. B. Jamison. Reciprocal processes. Zeit. Warschelinchkeitstheorie und Verw. Gebiete, 30:65-86, 1974.
14. B. C. Levy. Regular and reciprocal multivariate stationary Gaussian reciprocal processes over Z are necessarily Markov. J. Math. Systems, Estimation and Control, 2:133-154, 1992.
15. B. C. Levy and A. Ferrante. Characterization of stationary discrete-time Gaussian reciprocal processes over a finite interval. SIAM J. Matrix Anal. Appl., 24:334-355, 2002.
16. B. C. Levy, R. Frezza, and A. Krener. Modeling and estimation of discrete-time Gaussian reciprocal processes. IEEE Trans. Automatic Control, AC-35(9):1013-1023, 1990.
17. J. Moura and N. Balram. Recursive structure of noncausal Gauss Markov random fields. IEEE Trans. Information Theory, IT-38(2):334-354, 1992.