The family of parametric projection filters and its properties for perturbation

IEICE Transactions on Information and Systems

Volumn E80-D, Issue 8, 1997, Pages 788-793

  Imai, Hideyuki ^a,b   Tanaka, Akira ^a,b   Miyakoshi, Masaaki ^a,b  

^a HOKKAIDO UNIVERSITY   (Japan)

^b PANASONIC CORPORATION   (Japan)

Author keywords

image restoration; parametric filters; perturbation

Indexed keywords

MATHEMATICAL MODELS; PARAMETRIC DEVICES; PERTURBATION TECHNIQUES; SIGNAL FILTERING AND PREDICTION; SPURIOUS SIGNAL NOISE;

PARAMETRIC PROJECTION FILTERS;

IMAGE RECONSTRUCTION;

EID: 0031199930     PISSN: 09168532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. H. Imai, A. Tanaka, and M. Miyakoshi, "Evaluation of optimum image restoration filters by perturbation of a degraded operator," IEICE Trans., vol.J80-D-II, no.3, pp.754-761, March 1997.
2. Y. Koide, Y. Yamashita, and H. Ogawa, "A unified theory of the family of projection filters for signal and image"estimation," IEICE Trans., voI.J77-D-II, no.7, pp.1293-1301, July 1994.
3. H. Ogawa, "Operator equations related to the restoration problems," IEICE Technical Report, PRU86-60, Nov. 1986.
4. H. Ogawa, "Image and signal restoration[I]-Universality of restoration problems," J. IEICE, vol.71, no.5, pp.491-497, May 1988.
5. H. Ogawa, "Image and signal restoration[II]-Traditional optimum restoration filters," J. IEICE, vol.71, no.6, pp.593-601, June 1988.
6. H. Ogawa, "Image and signal restoration[III]-A family of projection filters for optimum restoration," J. IEICE, vol.71, no.7, pp.739-748, July 1988.
7. H. Ogawa, "Image and signal restoration[IV]-Nonlinear restoration," J. IEICE, vol.71, no.8, pp.828-835, Aus. 1988.
8. H. Ogawa and M. Hara, "Image restoration by partial projection filter," IEICE Trans., vol.J7I-A, no.2, pp.519-526, Feb. 1988.
9. H. Ogawa and M. Hara, "Properties of partial projection filter," IEICE Trans., vol.J71-A, no.2, pp.527-534, Feb. 1988.
10. H. Ogawa and E. Oja, "Projection dilter, Wiener filter and Karhunen-Loève subspaces in digital image restoration," J. Math. Anal. Appl., vol.114, no.I, pp.37-51, 1986.
11. M.I. Sezan and H. Stark, "Image restoration by the method of convex projections: Part 2-Applications and numerical results," IEEE Trans. Medical Imaging, vol.MI-1, no.l, pp.95-101, 1982.
12. H. Sugiyama and H. Ogawa, "Image restoration by parametric partial projection filter," IEICE Trans., vol.J72-DII, no.10, pp.1618-1626, Oct. 1989.
13. Y. Yamashita and H. Ogawa, "Image restoration by averaged projection filter," IEICE Trans., vol.J74-D-II, no.2, pp. 150-157, Feb. 1991.
14. Y. Yamashita and H. Ogawa, "Properties of averaged projection filter for image restoration," IEICE Trans., vol.J74D-II, no.2, pp.l42-149, Feb. 1991.
15. Y. Yamashita and H. Ogawa, "Mutual relations among optimum image restoration filters," IEICE Trans., vol.J75D-II, no.5, pp.890-898, May 1992.
16. Y. Yamashita and H. Ogawa, "Optimum image restoration and topological invariance," IEICE Trans., vol.J75-D-II, no.2, pp.306-313, Feb. 1992.
17. Y. Yamashita and H. Ogawa, "Optimum image restoration filters and generalized inverses of operators," IEICE Trans., vol.J75-D-II, no.5, pp.883-889, May 1992.