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

F. A. Grünbaum, "A study of Fourier space methods for limited angle image reconstruction," Numer. Funct. Anal. Optimiz. 2, 31 (1980).

K. C. Tam, V. Perez-Mendez, and B. Macdonald, "Limited angle 3-D reconstructions from continuous and pinhole projections," IEEE Trans. Nucl Sci. NS-27, 445–458 (1980).

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

K. C. Tam, B. Macdonald, and V. Perez-Mendez, "3-D object reconstruction in emission and transmission tomography with limited angular input," IEEE Trans. Nucl. Sci. NS-26, 2797–2805 (1979).

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

M. Y. Chiu *et al*., "Three-dimensional radiographic imaging with a restricted view angle," J. Opt. Soc. Am. 69, 1323–1333 (1979).

K. C. Tam *et al*., "Three-dimensional reconstructions in planar positron cameras using Fourier deconvolution of generalized tomograms," IEEE Trans. Nucl. Sci. NS-25, 152–159 (1978).

G. Chu and K. C. Tam, "Three-dimensional imaging in the positron camera using Fourier techniques," Phys. Med. Biol. 22, 245–265 (1977).

K. T. Smith, D. C. Solmon, and S. L. Wagner, "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bull. Am. Math. Soc. 83, 1227–1270 (1977).

D. C. Solmon, "The x-ray transform," J. Math. Anal. Appl. 56, 61–83 (1976).

E. C. McCullough *et al*., "Performance evaluation and quality assurance of computer tomography scanners, with illustrations from the EMI, ACTA and Delta scanners," Radiology 120, 173–188 (1976).

L. T. Chang, B. Macdonald, and V. Perez-Mendez, "Three-dimensional image reconstruction using pinhole arrays," IEEE Trans. Nucl. Sci. NS-23, 568 (1976).

A. Papoulis, "A new algorithm in spectral analysis and bandlimited extrapolation," IEEE Trans. Circuits Syst. CAS-22, 735–742 (1975).

R. W. Gerchberg, "Super-resolutions through error energy reduction," Opt. Acta 21, 709–720 (1974).

C. B. Lim *et al*., "Characteristics of multiwire proportional chambers for positron imaging," IEEE Trans. Nucl. Sci. NS-21, 85–88 (1974).

G. N. Hounsfield, "Computerized transverse axial scanning (tomography): Part I. description of system," Br. J. Radiol. 46, 1016–1022 (1973).

D. G. Grant, "Tomosynthesis: a three-dimensional radiographic imaging technique," IEEE Trans. Biomed. Eng. BME-19, 20–28 (1972).

A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory," Nature 238, 435–440 (1972).

B. R. Frieden, "Restoring with maximum likelihood and maximum entropy," J. Opt. Soc. Amer. 62, 511–518 (1972).

R. A. Crowther, D. J. DeRosier, and A. Klug, "The reconstruction of a three-dimensional structure from projections and its application to electron microscopy," Proc. R. Soc. London A 317, 319–340 (1970).

D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero order," Bell Syst. Tech. J. 44, 1745 (1965).

D. L. Phillips, "A technique for the numerical solution of certain integral equations of the first kind," J. Assoc. Comput. Mach. 9, 84–97 (1962).

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty—I," Bell Syst. Tech. J. 40, 43 (1961).

L. T. Chang, B. Macdonald, and V. Perez-Mendez, "Three-dimensional image reconstruction using pinhole arrays," IEEE Trans. Nucl. Sci. NS-23, 568 (1976).

G. Chu and K. C. Tam, "Three-dimensional imaging in the positron camera using Fourier techniques," Phys. Med. Biol. 22, 245–265 (1977).

A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory," Nature 238, 435–440 (1972).

R. A. Crowther, D. J. DeRosier, and A. Klug, "The reconstruction of a three-dimensional structure from projections and its application to electron microscopy," Proc. R. Soc. London A 317, 319–340 (1970).

R. A. Crowther, D. J. DeRosier, and A. Klug, "The reconstruction of a three-dimensional structure from projections and its application to electron microscopy," Proc. R. Soc. London A 317, 319–340 (1970).

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Part I, Chap. 8.

B. R. Frieden, "Restoring with maximum likelihood and maximum entropy," J. Opt. Soc. Amer. 62, 511–518 (1972).

R. W. Gerchberg, "Super-resolutions through error energy reduction," Opt. Acta 21, 709–720 (1974).

D. G. Grant, "Tomosynthesis: a three-dimensional radiographic imaging technique," IEEE Trans. Biomed. Eng. BME-19, 20–28 (1972).

F. A. Grünbaum, "A study of Fourier space methods for limited angle image reconstruction," Numer. Funct. Anal. Optimiz. 2, 31 (1980).

G. N. Hounsfield, "Computerized transverse axial scanning (tomography): Part I. description of system," Br. J. Radiol. 46, 1016–1022 (1973).

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

A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory," Nature 238, 435–440 (1972).

R. A. Crowther, D. J. DeRosier, and A. Klug, "The reconstruction of a three-dimensional structure from projections and its application to electron microscopy," Proc. R. Soc. London A 317, 319–340 (1970).

A. Lent and H. Tuy, "An iterative method for the extrapolation of band-limited functions," tech. rep. no. MIPG 35 (State University of New York at Buffalo, Buffalo, N.Y., 1979).

C. B. Lim *et al*., "Characteristics of multiwire proportional chambers for positron imaging," IEEE Trans. Nucl. Sci. NS-21, 85–88 (1974).

K. C. Tam, V. Perez-Mendez, and B. Macdonald, "Limited angle 3-D reconstructions from continuous and pinhole projections," IEEE Trans. Nucl Sci. NS-27, 445–458 (1980).

K. C. Tam, B. Macdonald, and V. Perez-Mendez, "3-D object reconstruction in emission and transmission tomography with limited angular input," IEEE Trans. Nucl. Sci. NS-26, 2797–2805 (1979).

L. T. Chang, B. Macdonald, and V. Perez-Mendez, "Three-dimensional image reconstruction using pinhole arrays," IEEE Trans. Nucl. Sci. NS-23, 568 (1976).

B. Macdonald, Lawrence Berkeley Laboratory, Berkeley, California, personal communication.

E. C. McCullough *et al*., "Performance evaluation and quality assurance of computer tomography scanners, with illustrations from the EMI, ACTA and Delta scanners," Radiology 120, 173–188 (1976).

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

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Part I, Chap. 8.

B. K. Vainshtein and S. S. Orlov, "General theory of direct 3-D reconstruction," in Techniques of Three-Dimensional Reconstruction (Brookhaven National Laboratory, Upton, New York, 1974).

A. Papoulis, "A new algorithm in spectral analysis and bandlimited extrapolation," IEEE Trans. Circuits Syst. CAS-22, 735–742 (1975).

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962), p. 44.

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

K. C. Tam, V. Perez-Mendez, and B. Macdonald, "Limited angle 3-D reconstructions from continuous and pinhole projections," IEEE Trans. Nucl Sci. NS-27, 445–458 (1980).

K. C. Tam, B. Macdonald, and V. Perez-Mendez, "3-D object reconstruction in emission and transmission tomography with limited angular input," IEEE Trans. Nucl. Sci. NS-26, 2797–2805 (1979).

L. T. Chang, B. Macdonald, and V. Perez-Mendez, "Three-dimensional image reconstruction using pinhole arrays," IEEE Trans. Nucl. Sci. NS-23, 568 (1976).

K. C. Tam and V. Perez-Mendez, "Limited-angle 3-D reconstructions using Fourier transform iterations and Radon transform iterations," Opt. Eng. (1981). (to be published).

D. L. Phillips, "A technique for the numerical solution of certain integral equations of the first kind," J. Assoc. Comput. Mach. 9, 84–97 (1962).

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty—I," Bell Syst. Tech. J. 40, 43 (1961).

F. Riesz and B. Sz.-Nagy, Functional Analysis (Frederick Ungar, New York, 1955), Chap. 6.

J. S. Robertson *et al*., '"32-crystal positron transverse section detector," in Tomographic Imaging in Nuclear Medicine, G. S. Freedman, ed. (Society of Nuclear Medicine, New York, 1973), pp. 142–153.

D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero order," Bell Syst. Tech. J. 44, 1745 (1965).

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty—I," Bell Syst. Tech. J. 40, 43 (1961).

K. T. Smith, D. C. Solmon, and S. L. Wagner, "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bull. Am. Math. Soc. 83, 1227–1270 (1977).

K. T. Smith, D. C. Solmon, and S. L. Wagner, "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bull. Am. Math. Soc. 83, 1227–1270 (1977).

D. C. Solmon, "The x-ray transform," J. Math. Anal. Appl. 56, 61–83 (1976).

D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero order," Bell Syst. Tech. J. 44, 1745 (1965).

F. Riesz and B. Sz.-Nagy, Functional Analysis (Frederick Ungar, New York, 1955), Chap. 6.

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

K. C. Tam, V. Perez-Mendez, and B. Macdonald, "Limited angle 3-D reconstructions from continuous and pinhole projections," IEEE Trans. Nucl Sci. NS-27, 445–458 (1980).

K. C. Tam, B. Macdonald, and V. Perez-Mendez, "3-D object reconstruction in emission and transmission tomography with limited angular input," IEEE Trans. Nucl. Sci. NS-26, 2797–2805 (1979).

K. C. Tam *et al*., "Three-dimensional reconstructions in planar positron cameras using Fourier deconvolution of generalized tomograms," IEEE Trans. Nucl. Sci. NS-25, 152–159 (1978).

G. Chu and K. C. Tam, "Three-dimensional imaging in the positron camera using Fourier techniques," Phys. Med. Biol. 22, 245–265 (1977).

K. C. Tam, Limited-Angle Imaging in Positron Cameras: Theory and Practice, Ph.D. thesis (University of California, Berkeley, Calif., 1979), Sec. 3.1.2.

K. C. Tam and V. Perez-Mendez, "Limited-angle 3-D reconstructions using Fourier transform iterations and Radon transform iterations," Opt. Eng. (1981). (to be published).

A. Lent and H. Tuy, "An iterative method for the extrapolation of band-limited functions," tech. rep. no. MIPG 35 (State University of New York at Buffalo, Buffalo, N.Y., 1979).

B. K. Vainshtein and S. S. Orlov, "General theory of direct 3-D reconstruction," in Techniques of Three-Dimensional Reconstruction (Brookhaven National Laboratory, Upton, New York, 1974).

K. T. Smith, D. C. Solmon, and S. L. Wagner, "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bull. Am. Math. Soc. 83, 1227–1270 (1977).

E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, Cambridge, England, 1952), p. 67.

E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, Cambridge, England, 1952), p. 67.

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty—I," Bell Syst. Tech. J. 40, 43 (1961).

D. Slepian and E. Sonnenblick, "Eigenvalues associated with prolate spheroidal wave functions of zero order," Bell Syst. Tech. J. 44, 1745 (1965).

G. N. Hounsfield, "Computerized transverse axial scanning (tomography): Part I. description of system," Br. J. Radiol. 46, 1016–1022 (1973).

K. T. Smith, D. C. Solmon, and S. L. Wagner, "Practical and mathematical aspects of the problem of reconstructing objects from radiographs," Bull. Am. Math. Soc. 83, 1227–1270 (1977).

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

D. G. Grant, "Tomosynthesis: a three-dimensional radiographic imaging technique," IEEE Trans. Biomed. Eng. BME-19, 20–28 (1972).

A. Papoulis, "A new algorithm in spectral analysis and bandlimited extrapolation," IEEE Trans. Circuits Syst. CAS-22, 735–742 (1975).

K. C. Tam, V. Perez-Mendez, and B. Macdonald, "Limited angle 3-D reconstructions from continuous and pinhole projections," IEEE Trans. Nucl Sci. NS-27, 445–458 (1980).

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

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

K. C. Tam, B. Macdonald, and V. Perez-Mendez, "3-D object reconstruction in emission and transmission tomography with limited angular input," IEEE Trans. Nucl. Sci. NS-26, 2797–2805 (1979).

C. B. Lim *et al*., "Characteristics of multiwire proportional chambers for positron imaging," IEEE Trans. Nucl. Sci. NS-21, 85–88 (1974).

K. C. Tam *et al*., "Three-dimensional reconstructions in planar positron cameras using Fourier deconvolution of generalized tomograms," IEEE Trans. Nucl. Sci. NS-25, 152–159 (1978).

L. T. Chang, B. Macdonald, and V. Perez-Mendez, "Three-dimensional image reconstruction using pinhole arrays," IEEE Trans. Nucl. Sci. NS-23, 568 (1976).

D. L. Phillips, "A technique for the numerical solution of certain integral equations of the first kind," J. Assoc. Comput. Mach. 9, 84–97 (1962).

D. C. Solmon, "The x-ray transform," J. Math. Anal. Appl. 56, 61–83 (1976).

B. R. Frieden, "Restoring with maximum likelihood and maximum entropy," J. Opt. Soc. Amer. 62, 511–518 (1972).

A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory," Nature 238, 435–440 (1972).

F. A. Grünbaum, "A study of Fourier space methods for limited angle image reconstruction," Numer. Funct. Anal. Optimiz. 2, 31 (1980).

R. W. Gerchberg, "Super-resolutions through error energy reduction," Opt. Acta 21, 709–720 (1974).

G. Chu and K. C. Tam, "Three-dimensional imaging in the positron camera using Fourier techniques," Phys. Med. Biol. 22, 245–265 (1977).

R. A. Crowther, D. J. DeRosier, and A. Klug, "The reconstruction of a three-dimensional structure from projections and its application to electron microscopy," Proc. R. Soc. London A 317, 319–340 (1970).

E. C. McCullough *et al*., "Performance evaluation and quality assurance of computer tomography scanners, with illustrations from the EMI, ACTA and Delta scanners," Radiology 120, 173–188 (1976).

J. S. Robertson *et al*., '"32-crystal positron transverse section detector," in Tomographic Imaging in Nuclear Medicine, G. S. Freedman, ed. (Society of Nuclear Medicine, New York, 1973), pp. 142–153.

F. Riesz and B. Sz.-Nagy, Functional Analysis (Frederick Ungar, New York, 1955), Chap. 6.

B. K. Vainshtein and S. S. Orlov, "General theory of direct 3-D reconstruction," in Techniques of Three-Dimensional Reconstruction (Brookhaven National Laboratory, Upton, New York, 1974).

K. C. Tam, Limited-Angle Imaging in Positron Cameras: Theory and Practice, Ph.D. thesis (University of California, Berkeley, Calif., 1979), Sec. 3.1.2.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Part I, Chap. 8.

B. Macdonald, Lawrence Berkeley Laboratory, Berkeley, California, personal communication.

K. C. Tam and V. Perez-Mendez, "Limited-angle 3-D reconstructions using Fourier transform iterations and Radon transform iterations," Opt. Eng. (1981). (to be published).

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962), p. 44.

E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, Cambridge, England, 1952), p. 67.

A. Lent and H. Tuy, "An iterative method for the extrapolation of band-limited functions," tech. rep. no. MIPG 35 (State University of New York at Buffalo, Buffalo, N.Y., 1979).