K. M. Hanson, “CT reconstruction from limited projection angles,” Proc. Soc. Photo.-Opt. Instrum. Eng. 374, 166–173 (1982).

K. C. Tam and V. Perez-Mendez, “Limits to image reconstruction from restricted angular input,” IEEE Trans. Nucl. Sci. NS-28, 179–183 (1981).

[CrossRef]

T. Sato, S. J. Norton, M. Linzer, O. Ikeda, and M. Hirama, “Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces,” Appl. Opt. 20, 395–399 (1981).

[CrossRef]

K. C. Tam and V. Perez-Mendez, “Tomographic imaging with limited-angle input,” J. Opt. Soc. Am. 71, 582–592 (1981).

H. B. Buonocore, W. R. Brody, and A. Macovski, “Natural pixel decomposition for two-dimensional image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 69–78 (1981).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Fast minimum variance estimator for limited-angle CT image reconstruction,” Med. Phys. 8, 695–702 (1981).

[CrossRef]
[PubMed]

A. K. Louis, “Ghosts in tomography—the null space of the Radon transform,” Math. Meth. Appl. Sci. 3, 1–10 (1981).

[CrossRef]

S. L. Wood and M. Morf, “A fast implementation of a minimum variance estimator for computerized tomography image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 56–68 (1981).

[CrossRef]

F. A. Grunbaum, “A study of Fourier space methods for limited-angle image reconstruction,” Numerical Funct. Anal. Optim. 2, 31–42 (1980).

[CrossRef]

G. Minerbo, “MENT: a maximum entropy algorithm for reconstructing a source from projection data,” Comput. Graphics Image Process. 10, 48–68 (1979).

[CrossRef]
[PubMed]

T. Inouye, “Image reconstruction with limited-angle projection data,” IEEE Trans. Nucl. Sci. NS-26, 2666–2669 (1979).

[CrossRef]

H. J. Trussell and B. R. Hunt, “Improved methods of maximum a posteriori restoration,” IEEE Trans. Comput. C-27, 57–62 (1979).

[CrossRef]

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

C. Hamaker and D. C. Solmon, “The angles between the null spaces of x rays,” J. Math. Anal. Appl. 62, 1–23 (1978).

[CrossRef]

H. J. Trussell, “Notes on linear image restoration by maximizing the a posteriori probability,” IEEE Trans. Comput. C-27, 57–62 (1978).

[CrossRef]

T. M. Cannon, H. J. Trussell, and B. R. Hunt, “Comparison of image restoration methods,” Appl. Opt. 17, 3384–3390 (1978).

B. R. Hunt, “Bayesian methods in nonlinear digital image restoration,” IEEE Trans. Comput. C-26, 219–229 (1977).

[CrossRef]

K. T. Smith, P. L. Solomon, and S. L. Wagner, “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83, 1227–1270 (1977).

[CrossRef]

A. V. Lakshminarayan and A. Lent, “The simultaneous iterative reconstruction technique as a least-squares method,” Proc. Soc. Photo.-Opt. Instrum. Eng. 96, 108–116 (1976).

G. T. Herman and A. Lent, “A computer implementation of a Bayesian analysis of image reconstruction,” Inf. Control 31, 364–384 (1976).

[CrossRef]

G. T. Herman and A. Lent, “Iterative reconstruction algorithms,” Comput. Biol. Med. 6, 273–294 (1976).

[CrossRef]
[PubMed]

B. F. Logan and L. A. Shepp, “Optical reconstruction of a function from its projections,” Duke Math. J. 42, 645–659 (1975).

[CrossRef]

P. Gilbert, “Iterative methods for the three-dimensional reconstruction of an object from projections,” J. Theor. Biol. 36, 105–117 (1972).

[CrossRef]
[PubMed]

M. Goitein, “Three-dimensional density reconstruction from a series of two-dimensional projections,” Nucl. Instrum. Methods 101, 509 (1972).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]
[PubMed]

S. Twomey, “The application of numerical filtering to the solution of integral equations encountered in indirect sensing measurement,” J. Franklin Inst. 279, 95–109 (1965).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]
[PubMed]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Natural pixel decomposition for two-dimensional image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 69–78 (1981).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Fast minimum variance estimator for limited-angle CT image reconstruction,” Med. Phys. 8, 695–702 (1981).

[CrossRef]
[PubMed]

B. P. Medoff, W. R. Brody, and A. Macovski, “Image reconstruction from limited data,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 188–192.

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Natural pixel decomposition for two-dimensional image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 69–78 (1981).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Fast minimum variance estimator for limited-angle CT image reconstruction,” Med. Phys. 8, 695–702 (1981).

[CrossRef]
[PubMed]

M. H. Buonocore, “Fast minimum variance estimators for limited-angle CT image reconstruction,” Tech. Rep. 81-3, Advanced Imaging Techniques Laboratory, Department of Radiology (Stanford University, Stanford, Calif., 1981).

P. Gilbert, “Iterative methods for the three-dimensional reconstruction of an object from projections,” J. Theor. Biol. 36, 105–117 (1972).

[CrossRef]
[PubMed]

M. Goitein, “Three-dimensional density reconstruction from a series of two-dimensional projections,” Nucl. Instrum. Methods 101, 509 (1972).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]
[PubMed]

F. A. Grunbaum, “A study of Fourier space methods for limited-angle image reconstruction,” Numerical Funct. Anal. Optim. 2, 31–42 (1980).

[CrossRef]

C. Hamaker and D. C. Solmon, “The angles between the null spaces of x rays,” J. Math. Anal. Appl. 62, 1–23 (1978).

[CrossRef]

K. M. Hanson, “CT reconstruction from limited projection angles,” Proc. Soc. Photo.-Opt. Instrum. Eng. 374, 166–173 (1982).

K. M. Hanson, “Limited-angle CT reconstruction using a priori information,” in Proceedings of the First IEEE Computer Society International Symposium on Medical Imaging and Image Interpretation (Institute of Electronics and Electrical Engineers, New York, 1982), pp. 527–533.

[CrossRef]

K. M. Hanson and G. W. Wecksung, “Bayesian approach to limited-angle CT reconstruction,” in Digest of the Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints (Optical Society of America, Washington, D.C., 1983), pp. FA6–FA14.

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

G. T. Herman and A. Lent, “Iterative reconstruction algorithms,” Comput. Biol. Med. 6, 273–294 (1976).

[CrossRef]
[PubMed]

G. T. Herman and A. Lent, “A computer implementation of a Bayesian analysis of image reconstruction,” Inf. Control 31, 364–384 (1976).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]
[PubMed]

H. J. Trussell and B. R. Hunt, “Improved methods of maximum a posteriori restoration,” IEEE Trans. Comput. C-27, 57–62 (1979).

[CrossRef]

T. M. Cannon, H. J. Trussell, and B. R. Hunt, “Comparison of image restoration methods,” Appl. Opt. 17, 3384–3390 (1978).

B. R. Hunt, “Bayesian methods in nonlinear digital image restoration,” IEEE Trans. Comput. C-26, 219–229 (1977).

[CrossRef]

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

T. Inouye, “Image reconstruction with limited-angle projection data,” IEEE Trans. Nucl. Sci. NS-26, 2666–2669 (1979).

[CrossRef]

T. Inouye, “Image reconstruction with limited-view angle projections,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 165–168.

M. B. Katz, “Questions of uniqueness and resolution in reconstruction from projections,” in Lecture Notes in Biomathematics, S. Levin, ed. (Springer-Verlag, Berlin, 1979).

A. V. Lakshminarayan and A. Lent, “The simultaneous iterative reconstruction technique as a least-squares method,” Proc. Soc. Photo.-Opt. Instrum. Eng. 96, 108–116 (1976).

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

G. T. Herman and A. Lent, “Iterative reconstruction algorithms,” Comput. Biol. Med. 6, 273–294 (1976).

[CrossRef]
[PubMed]

A. V. Lakshminarayan and A. Lent, “The simultaneous iterative reconstruction technique as a least-squares method,” Proc. Soc. Photo.-Opt. Instrum. Eng. 96, 108–116 (1976).

G. T. Herman and A. Lent, “A computer implementation of a Bayesian analysis of image reconstruction,” Inf. Control 31, 364–384 (1976).

[CrossRef]

B. F. Logan and L. A. Shepp, “Optical reconstruction of a function from its projections,” Duke Math. J. 42, 645–659 (1975).

[CrossRef]

L. A. Shepp and B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. NS-21, 21–43 (1974).

[CrossRef]

A. K. Louis, “Ghosts in tomography—the null space of the Radon transform,” Math. Meth. Appl. Sci. 3, 1–10 (1981).

[CrossRef]

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Fast minimum variance estimator for limited-angle CT image reconstruction,” Med. Phys. 8, 695–702 (1981).

[CrossRef]
[PubMed]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Natural pixel decomposition for two-dimensional image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 69–78 (1981).

[CrossRef]

S. L. Wood, A. Macovski, and M. Morf, “Reconstructions with limited data using estimation theory,” in Computer Aided Tomography and Ultrasonics in Medicine, J. Raviv, J. F. Greenleaf, and G. T. Herman, eds., Proc. IFIP, TC-4 Working Conf., Haifa, Israel, August 1978 (North-Holland, Amsterdam, 1979), pp. 219–233.

B. P. Medoff, W. R. Brody, and A. Macovski, “Image reconstruction from limited data,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 188–192.

[CrossRef]

B. P. Medoff, W. R. Brody, and A. Macovski, “Image reconstruction from limited data,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 188–192.

[CrossRef]

A. P. Sage and J. L. Melsa, Estimation Theory with Applications to Communications and Control (Krieger, Melbourne, Fla., 1979), p. 175.

G. Minerbo, “MENT: a maximum entropy algorithm for reconstructing a source from projection data,” Comput. Graphics Image Process. 10, 48–68 (1979).

[CrossRef]
[PubMed]

S. L. Wood and M. Morf, “A fast implementation of a minimum variance estimator for computerized tomography image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 56–68 (1981).

[CrossRef]

S. L. Wood, A. Macovski, and M. Morf, “Reconstructions with limited data using estimation theory,” in Computer Aided Tomography and Ultrasonics in Medicine, J. Raviv, J. F. Greenleaf, and G. T. Herman, eds., Proc. IFIP, TC-4 Working Conf., Haifa, Israel, August 1978 (North-Holland, Amsterdam, 1979), pp. 219–233.

A. P. Sage and J. L. Melsa, Estimation Theory with Applications to Communications and Control (Krieger, Melbourne, Fla., 1979), p. 175.

B. F. Logan and L. A. Shepp, “Optical reconstruction of a function from its projections,” Duke Math. J. 42, 645–659 (1975).

[CrossRef]

L. A. Shepp and B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. NS-21, 21–43 (1974).

[CrossRef]

K. T. Smith, P. L. Solomon, and S. L. Wagner, “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83, 1227–1270 (1977).

[CrossRef]

C. Hamaker and D. C. Solmon, “The angles between the null spaces of x rays,” J. Math. Anal. Appl. 62, 1–23 (1978).

[CrossRef]

K. T. Smith, P. L. Solomon, and S. L. Wagner, “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83, 1227–1270 (1977).

[CrossRef]

H. J. Trussell and B. R. Hunt, “Improved methods of maximum a posteriori restoration,” IEEE Trans. Comput. C-27, 57–62 (1979).

[CrossRef]

H. J. Trussell, “Notes on linear image restoration by maximizing the a posteriori probability,” IEEE Trans. Comput. C-27, 57–62 (1978).

[CrossRef]

T. M. Cannon, H. J. Trussell, and B. R. Hunt, “Comparison of image restoration methods,” Appl. Opt. 17, 3384–3390 (1978).

K. T. Smith, P. L. Solomon, and S. L. Wagner, “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83, 1227–1270 (1977).

[CrossRef]

K. M. Hanson and G. W. Wecksung, “Bayesian approach to limited-angle CT reconstruction,” in Digest of the Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints (Optical Society of America, Washington, D.C., 1983), pp. FA6–FA14.

S. L. Wood and M. Morf, “A fast implementation of a minimum variance estimator for computerized tomography image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 56–68 (1981).

[CrossRef]

S. L. Wood, A. Macovski, and M. Morf, “Reconstructions with limited data using estimation theory,” in Computer Aided Tomography and Ultrasonics in Medicine, J. Raviv, J. F. Greenleaf, and G. T. Herman, eds., Proc. IFIP, TC-4 Working Conf., Haifa, Israel, August 1978 (North-Holland, Amsterdam, 1979), pp. 219–233.

S. Twomey and H. B. Howell, “Some aspects of the optical estimation of microstructure in fog and cloud,” Appl. Opt. 6, 2125–2131 (1967).

[CrossRef]
[PubMed]

S. Twomey, “Information content in remote sensing,” Appl. Opt. 13, 942–945 (1974).

[CrossRef]
[PubMed]

T. M. Cannon, H. J. Trussell, and B. R. Hunt, “Comparison of image restoration methods,” Appl. Opt. 17, 3384–3390 (1978).

T. Sato, S. J. Norton, M. Linzer, O. Ikeda, and M. Hirama, “Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces,” Appl. Opt. 20, 395–399 (1981).

[CrossRef]

K. T. Smith, P. L. Solomon, and S. L. Wagner, “Practical and mathematical aspects of the problem of reconstructing objects from radiographs,” Bull. Am. Math. Soc. 83, 1227–1270 (1977).

[CrossRef]

G. T. Herman and A. Lent, “Iterative reconstruction algorithms,” Comput. Biol. Med. 6, 273–294 (1976).

[CrossRef]
[PubMed]

G. Minerbo, “MENT: a maximum entropy algorithm for reconstructing a source from projection data,” Comput. Graphics Image Process. 10, 48–68 (1979).

[CrossRef]
[PubMed]

B. F. Logan and L. A. Shepp, “Optical reconstruction of a function from its projections,” Duke Math. J. 42, 645–659 (1975).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Natural pixel decomposition for two-dimensional image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 69–78 (1981).

[CrossRef]

S. L. Wood and M. Morf, “A fast implementation of a minimum variance estimator for computerized tomography image reconstruction,” IEEE Trans. Biomed. Eng. BME-28, 56–68 (1981).

[CrossRef]

H. J. Trussell and B. R. Hunt, “Improved methods of maximum a posteriori restoration,” IEEE Trans. Comput. C-27, 57–62 (1979).

[CrossRef]

H. J. Trussell, “Notes on linear image restoration by maximizing the a posteriori probability,” IEEE Trans. Comput. C-27, 57–62 (1978).

[CrossRef]

B. R. Hunt, “Bayesian methods in nonlinear digital image restoration,” IEEE Trans. Comput. C-26, 219–229 (1977).

[CrossRef]

L. A. Shepp and B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. NS-21, 21–43 (1974).

[CrossRef]

K. C. Tam and V. Perez-Mendez, “Limits to image reconstruction from restricted angular input,” IEEE Trans. Nucl. Sci. NS-28, 179–183 (1981).

[CrossRef]

T. Inouye, “Image reconstruction with limited-angle projection data,” IEEE Trans. Nucl. Sci. NS-26, 2666–2669 (1979).

[CrossRef]

G. T. Herman and A. Lent, “A computer implementation of a Bayesian analysis of image reconstruction,” Inf. Control 31, 364–384 (1976).

[CrossRef]

G. T. Herman, H. Hurwitz, A. Lent, and H. Lung, “On the Bayesian approach to image reconstruction,” Inf. Control 42, 60–71 (1979).

[CrossRef]

S. Twomey, “The application of numerical filtering to the solution of integral equations encountered in indirect sensing measurement,” J. Franklin Inst. 279, 95–109 (1965).

[CrossRef]

C. Hamaker and D. C. Solmon, “The angles between the null spaces of x rays,” J. Math. Anal. Appl. 62, 1–23 (1978).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481 (1970).

[CrossRef]
[PubMed]

P. Gilbert, “Iterative methods for the three-dimensional reconstruction of an object from projections,” J. Theor. Biol. 36, 105–117 (1972).

[CrossRef]
[PubMed]

A. K. Louis, “Ghosts in tomography—the null space of the Radon transform,” Math. Meth. Appl. Sci. 3, 1–10 (1981).

[CrossRef]

H. B. Buonocore, W. R. Brody, and A. Macovski, “Fast minimum variance estimator for limited-angle CT image reconstruction,” Med. Phys. 8, 695–702 (1981).

[CrossRef]
[PubMed]

M. Goitein, “Three-dimensional density reconstruction from a series of two-dimensional projections,” Nucl. Instrum. Methods 101, 509 (1972).

[CrossRef]

F. A. Grunbaum, “A study of Fourier space methods for limited-angle image reconstruction,” Numerical Funct. Anal. Optim. 2, 31–42 (1980).

[CrossRef]

K. M. Hanson, “CT reconstruction from limited projection angles,” Proc. Soc. Photo.-Opt. Instrum. Eng. 374, 166–173 (1982).

A. V. Lakshminarayan and A. Lent, “The simultaneous iterative reconstruction technique as a least-squares method,” Proc. Soc. Photo.-Opt. Instrum. Eng. 96, 108–116 (1976).

B. P. Medoff, W. R. Brody, and A. Macovski, “Image reconstruction from limited data,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 188–192.

[CrossRef]

M. B. Katz, “Questions of uniqueness and resolution in reconstruction from projections,” in Lecture Notes in Biomathematics, S. Levin, ed. (Springer-Verlag, Berlin, 1979).

A. P. Sage and J. L. Melsa, Estimation Theory with Applications to Communications and Control (Krieger, Melbourne, Fla., 1979), p. 175.

S. L. Wood, A. Macovski, and M. Morf, “Reconstructions with limited data using estimation theory,” in Computer Aided Tomography and Ultrasonics in Medicine, J. Raviv, J. F. Greenleaf, and G. T. Herman, eds., Proc. IFIP, TC-4 Working Conf., Haifa, Israel, August 1978 (North-Holland, Amsterdam, 1979), pp. 219–233.

K. M. Hanson and G. W. Wecksung, “Bayesian approach to limited-angle CT reconstruction,” in Digest of the Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints (Optical Society of America, Washington, D.C., 1983), pp. FA6–FA14.

K. M. Hanson, “Limited-angle CT reconstruction using a priori information,” in Proceedings of the First IEEE Computer Society International Symposium on Medical Imaging and Image Interpretation (Institute of Electronics and Electrical Engineers, New York, 1982), pp. 527–533.

[CrossRef]

T. Inouye, “Image reconstruction with limited-view angle projections,” in Digest of the International Workshop on Physics and Engineering in Medical Imaging (Optical Society of America, Washington, D.C., 1982), pp. 165–168.

M. H. Buonocore, “Fast minimum variance estimators for limited-angle CT image reconstruction,” Tech. Rep. 81-3, Advanced Imaging Techniques Laboratory, Department of Radiology (Stanford University, Stanford, Calif., 1981).