Global optimal image reconstruction from blurred noisy data by a Bayesian approach

Journal of Optimization Theory and Applications

Volumn 115, Issue 1, 2002, Pages 67-96

  Bruni, C ^a   Bruni, R ^a   De Santis, A ^a   Iacoviello, D ^a   Koch, G ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bayesian modeling; global constrained optimization; Image analysis; wavelet processing

Indexed keywords

BAYESIAN NETWORKS; IMAGE RECONSTRUCTION; WAVELET ANALYSIS;

BAYESIAN APPROACHES; BAYESIAN MODELLING; GLOBAL CONSTRAINED OPTIMIZATION; GRAY-LEVEL; IMAGE-ANALYSIS; IMAGES RECONSTRUCTION; NOISY DATA; OPTIMAL IMAGES; PREPROCESSING PHASE; WAVELET PROCESSING;

CONSTRAINED OPTIMIZATION;

EID: 0036341249     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019624913077     Document Type: Article

References (14)

1. BRUNI, C., DE SANTIS, A., and KOCH, G., Optimization over Spaces of Discontinuous 2D Functions, Journal of Optimization Theory and Applications, Vol. 106, pp. 277-283, 2000.
2. BRUNI, C., DE SANTIS, A., IACOVIELLO, D., and KOCH, G., Modeling for Edge Detection Problems in Blurred Noisy Images, IEEE Transactions on Image Processing, Vol. 10, pp. 1447-1453, 2001.
3. MUMFORD, D., and SHAH, J., Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems, Communications on Pure and Applied Mathematics, Vol. 42, pp. 577-685, 1989.
4. MUMFORD, D., and SHAH, J., Boundary Detections by Minimizing Functionals, Image Understanding, Edited by S. Ulman and W. Richards, Ablex Publishing Company, New Jersey, Vol. 1, pp. 19-43, 1989.
5. DAL MASO, G., MOREL, J. M., and SOLIMINI, S., A Variational Method in Image Segmentation: Existence and Approximation Results, Acta Matematica, Vol. 168, pp. 89-151, 1992.
6. MOREL, J. M., and SOLIMINI, S., Variational Methods in Image Segmentation, Birkhäuser, Basel, Switzerland, 1995.
7. BRUNI, C., DE SANTIS, A., and KOCH, G., Convergence and Compactness Properties for a Family of 2D Discontinuous Signals, Acta Applicandae Mathematicae, Vol. 62, pp. 131-153, 2000.
8. BRUNI, C., DE SANTIS, A., and IACOVIELLO, D., Multiscale Analysis and Segmentation in Blurred and Noisy Images, Proceedings of COMCON 8, Crete, Greece, 2001 (to appear).
9. BRUNI, C., DE SANTIS, A., and IACOVIELLO, D., A Multiscale Procedure for the Segmentation of Degraded Images, IEEE Transactions on Image Processing (to appear).
10. DAUBECHIES, I., Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, Vol. 61, 1992.
11. MALLAT, S., and ZHONG, S., Characterization of Signals from Multiscale Edges, IEEE Transactions on Automatic Control, Vol. 34, pp. 316-321, 1989.
12. LUSTIG, I. J., MARSTEN, R., and SHANNO, D. F., Interior-Point Methods for Linear Programming: Computational State of the Art, ORSA Journal of Computing, Vol. 6, pp. 1-14, 1994.
13. GIKHMAN, I. V., and SKOROKHOD, A. V., Introduction to the Theory of Random Processes, W. B. Saunders Company, Philadelphia, Pennsylvania, 1965.
14. SODERSTROM, T., and STOICA, P., System Identification, Prentice Hall International, New York, NY, 1989.