Speckle in Optics, Special Issue, J.- Opt. Soc. Am. 66 (November 1976).

43. Speckle in Optics, Special Issue, J.- Opt. Soc. Am. 66 (November 1976).

338 Image Filtering and Restoration Chap. 8

For other results on speckle theory we follow: 44. M. Tur, K. C. Chin and J. W. Goodman. "When Is Speckle Noise Multiplicative."

(letter) Applied Optics, 21 (April 1982): 1157-1159. 45. H. H. Arsenault and G. April. "Properties of Speckle Integrated with a Finite Aperture

and Logarithmically Transformed." In [43], pp. 1160-1163. For digital processing of speckle we follow: 46. A. K. Jain and C. R. Christensen. "Digital Processing of Images in Speckle Noise."

Proc. SPIE, Applications of Speckle Phenomena 243 (July 1980): 46-50. 47. J. S. Lim and H. Nawab. "Techniques for Speckle Noise Removal." Proc. SPIE 243 (July 1980): 35-44.

For other homomorphic filtering applications and related bibliography see (58]. Section 8.14 For maximum entropy restoration algorithms applicable to images, see (5] and: 48.. B. R. Frieden. "Restoring with Maximum Likelihood and Maximum Entropy." J. Opt.

Soc. Amer. 62 (1972): 511-518. 49. A. Lent. "A Convergent Algorithm for Maximum Entropy Image Restoration with a

Medical X-ray Application." In Image Analysis and Evaluation, SPSE Conf. Proc. (R. Shaw, ed.), Toronto, Canada, July 1976, pp. 221-267.

The iterative algorithms presented are based on unconstrained optimization of the dual functions and follow from:

50. A. K. Jain and J. Ranganath. "Two-Dimensional Spectral Estimation." Proc. RADC Workshop on Spectra/Estimation (1978): 151-157. 51. S. W. Lang. "Spectral Estimation for Sensor Arrays." Ph.D. Thesis, M.l.T., August 1981. Also see IEEE Trans. Acous. Speech Sig. Proc. ASSP-30, no. 6 (December 1982): 880-887.

Section 8.1 5 For application of Bayesian methods for realizing MAP and ML estimators for

nonlinear image restoration problems, see (4] and: 52. B. R. Hunt. "Bayesian Methods in Nonlinear Digital Image Restoration." IEEE Trans.

Computers C-26, no. 3, pp. 219-229. 53. H. J. Trussell. "A Relationship between Image Restoration by the Maximum A Poste­

riori Method and a Maximum Entropy Method." IEEE Trans. Acous. Speech Sig. Proc. ASSP-28, no. 1 (February 1980): 114-117. Also see vol. ASSP-31, no. 1 (February 1983): 129-136.

54. J. B. Morton and H. C. Andrews. "A Posteriori Method of Image Restoration." J. Opt. Soc. Amer. 69, no. 2 (February 1979): 280-290.

Chap. 8 Bibliography

Section 8.16 55. R. Bernstein (ed.). Digital Image Processing for Remote Sensing. New York: IEEE

Press, 1978. Coordinate transformation methods that convert certain space-varying PSFs into a

space-invariant PSF are developed in: 56. G. M. Robbins. "Image Restoration for a Class of Linear Spatially Variant Degrada­

tions." Pattern Recognition 2 (1970): 91-103. Also see Proc. IEEE 60 (July 1972): 862-872.

57. A. A. Sawchuk. "Space-Variant Image Restoration by Coordinate Transformations." I. Opt. Soc. Am. 64 (February 1974): 138-144. Also see I. Opt. Soc. Am. 63 (1973): 1052-1062.

Section 8.17 For blind deconvolution methods and their application in image restoration:

58. E. R. Cole. "The Removal of Unknown Image Blurs by Hormomorphic Filtering." Ph.D. Dissertation, Department of Electrical Engineering, University of Utah, Salt Lake City, 1973.

59. K. T. Knox. "Image Retrieval from Astronomical Speckle Patterns." I. Opt. Soc. Am. 66 (November 1976): 1236-1239.

Section 8.18 Here we follow:

60. D. Slepian and H. 0. Pollak. "Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-I." BSTJ 40 (Janaury 1961): 43-62.

For energy reduction algorithm and its generalization to method of a lte rn a t ing projections:

61. R. W. Gerchberg. "Super-resolution through Error Energy Reduction." Opt. Acta 14, no. 9 (September 1979): 709-720. 62. A. Papoulis. "A New Algorithm in Spectral Analysis and Bandlimited Extrapolation." IEEE Trans. Cir. Sys. CAS-22, no. 9 (September 1975).

63. D. C. Youla. "Generalized Image Restoration by the Method of Alternating Orthogonal Projections." IEEE Trans. Cir. Sys. CAS-25, no. 9 (September 1978): 694-702. Also see Youla and Webb. IEEE Trans. Medical Imaging MI-1, no. 2 (October 1982): 81-94.

64. M. I. Sezan and H. Stark. "Image Restoration by the Method of Convex Projections, Par 2-Applications and Numerical Results." IEEE Trans. Medical Imaging MI-1, no. 2 (October 1982).

65. A. K. Jain and S. Ranganath. "Extrapolation Algorithms for Discrete Signals with Applications in Spectral Estimation." IEEE Trans. Acous. Speech. Sig. Proc. ASSP-29

340 Image Filtering and Restoration Chap. 8

(August 1981): 830-845. Other references on bandlimited signal extrapolation can be found here.

Other References

66. E. S. Angel and A. K. Jain. "Frame to Frame Restoration of Diffusion Images." IEEE Trans. Auto. Control AC-23 (October 1978): 850-855.

67. B. L. McGlaimmery. "Restoration of Turbulence Degraded Images." J. Opt. Soc. Am. 57 (March 1967): 293-297.

68. J. S. Lim and N. A. Malik. "A New Algorithm for Two-Dimensional Maximum Entropy Power Spectrum Estimation." IEEE Trans. Acoust. Speech, Signal Process. ASSP-29, 1981, 401-413.

Chap. 8 Bibliography 341