W. J. Glantschnig, A. Holliday, K. D. Pohl, “Non-Destructive Characterization of Porous Soot Bouls,” Mater. Res. Soc. Symp. Proc. 88, 53–59 (1987); W. J. Glantschnig, A. Holliday, “Mass Fraction Profiling Based on X-Ray Tomography and Its Application to Characterizing Porous Silica Boules,” Appl. Opt. 26, 983–989 (1987).

[CrossRef]
[PubMed]

M. Deutsch, I. Beniaminy, “Inversion of Abel’s Integral Equation for Experimental Data,” J. Appl. Phys. 54, 137–143 (1983).

[CrossRef]

A. Kuthy, “An Interferometer and Abel Inversion Procedure for the Measurement of the Electron Density Profile in a Cold Gas Blanket Experiment,” Nucl. Instrum. Methods 180, 7–16 (1981); G. H. Minerbo, E. M. Levy, “Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 6, 598–616 (1969); E. W. Hansen, P-L. Law, “Recursive Methods for Computing the Abel Transform and Its Inverse,” J. Opt. Soc. Am. A 2, 510–520 (1985); R. S. Anderssen, “Stable Procedures for the Inversion of Abel’s Equation,” J. Inst. Math. Its Appl. 17, 329–342 (1976); C. J. Cremers, R. C. Birkebak, “Application of the Abel Integral Equation to Spectrographic Data,” Appl. Opt. 5, 1057–1064 (1966); M. Kalal, K. A. Nugent, “Abel Inversion Using Fast Fourier Transforms,” Appl. Opt. 27, 1956–1959 (1988); P. A. Vicharelli, W. P. Lapatowich, “Iterative Method for Computing the Inverse Abel Transform,” Appl. Phys. Lett. 50, 557–559 (1987).

[CrossRef]
[PubMed]

I. J. D. Craig, “The Inversion of Abel’s Integral Equation in Astrophysical Problems,” Astron. Astrophys. 79, 121–127 (1979); R. Gordon, R. Bender, G. Herman, “Algebraic Reconstruction Techniques for Three Dimensional Electron Microscopy and X-Ray Photography,” J. Theor. Biol. 29, 471–481 (1970); A. J. Jakeman, R. S. Anderssen, “Abel Type Integral Equations in Stereology I. General Discussion,” J. Microsc. 105, 121–133 (1975).

[CrossRef]
[PubMed]

A. M. Cormack, “Representation of a Function by Its Line Integrals with Some Radiological Applications II,” J. Appl. Phys. 35, 2908–2913 (1964); K. M. Hanson, “Tomographic Reconstruction of Axially Symmetric Objects from a Single Radiograph,” Proc. Soc. Photo-Opt. Instrum. Eng. 491, 180–187 (1985).

[CrossRef]

M. Deutsch, I. Beniaminy, “Inversion of Abel’s Integral Equation for Experimental Data,” J. Appl. Phys. 54, 137–143 (1983).

[CrossRef]

M. Deutsch, I. Beniaminy, “Derivative-Free Inversion of Abel’s Integral Equation,” Appl. Phys. Lett. 41, 27–28 (1982).

[CrossRef]

R. N. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1978).

A. M. Cormack, “Representation of a Function by Its Line Integrals with Some Radiological Applications II,” J. Appl. Phys. 35, 2908–2913 (1964); K. M. Hanson, “Tomographic Reconstruction of Axially Symmetric Objects from a Single Radiograph,” Proc. Soc. Photo-Opt. Instrum. Eng. 491, 180–187 (1985).

[CrossRef]

I. J. D. Craig, “The Inversion of Abel’s Integral Equation in Astrophysical Problems,” Astron. Astrophys. 79, 121–127 (1979); R. Gordon, R. Bender, G. Herman, “Algebraic Reconstruction Techniques for Three Dimensional Electron Microscopy and X-Ray Photography,” J. Theor. Biol. 29, 471–481 (1970); A. J. Jakeman, R. S. Anderssen, “Abel Type Integral Equations in Stereology I. General Discussion,” J. Microsc. 105, 121–133 (1975).

[CrossRef]
[PubMed]

M. Deutsch, A. Notea, D. Pal, “Reconstruction of Discontinuous Density Profiles of Cylindrically Symmetric Objects from Single X-Ray Projections,” Appl. Opt. 27, 3962–3964 (1988).

[CrossRef]
[PubMed]

M. Deutsch, I. Beniaminy, “Inversion of Abel’s Integral Equation for Experimental Data,” J. Appl. Phys. 54, 137–143 (1983).

[CrossRef]

M. Deutsch, I. Beniaminy, “Derivative-Free Inversion of Abel’s Integral Equation,” Appl. Phys. Lett. 41, 27–28 (1982).

[CrossRef]

A. Notea, D. Pal, M. Deutsch, “Density Distribution in Cylindrically Symmetric Objects from a Single Radiographic Image,” in Proceedings, Fourth European Conference on Non-Destructive Testing, London (Sept.1987), in press.

W. J. Glantschnig, A. Holliday, K. D. Pohl, “Non-Destructive Characterization of Porous Soot Bouls,” Mater. Res. Soc. Symp. Proc. 88, 53–59 (1987); W. J. Glantschnig, A. Holliday, “Mass Fraction Profiling Based on X-Ray Tomography and Its Application to Characterizing Porous Silica Boules,” Appl. Opt. 26, 983–989 (1987).

[CrossRef]
[PubMed]

W. J. Glantschnig, A. Holliday, K. D. Pohl, “Non-Destructive Characterization of Porous Soot Bouls,” Mater. Res. Soc. Symp. Proc. 88, 53–59 (1987); W. J. Glantschnig, A. Holliday, “Mass Fraction Profiling Based on X-Ray Tomography and Its Application to Characterizing Porous Silica Boules,” Appl. Opt. 26, 983–989 (1987).

[CrossRef]
[PubMed]

A. Kuthy, “An Interferometer and Abel Inversion Procedure for the Measurement of the Electron Density Profile in a Cold Gas Blanket Experiment,” Nucl. Instrum. Methods 180, 7–16 (1981); G. H. Minerbo, E. M. Levy, “Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 6, 598–616 (1969); E. W. Hansen, P-L. Law, “Recursive Methods for Computing the Abel Transform and Its Inverse,” J. Opt. Soc. Am. A 2, 510–520 (1985); R. S. Anderssen, “Stable Procedures for the Inversion of Abel’s Equation,” J. Inst. Math. Its Appl. 17, 329–342 (1976); C. J. Cremers, R. C. Birkebak, “Application of the Abel Integral Equation to Spectrographic Data,” Appl. Opt. 5, 1057–1064 (1966); M. Kalal, K. A. Nugent, “Abel Inversion Using Fast Fourier Transforms,” Appl. Opt. 27, 1956–1959 (1988); P. A. Vicharelli, W. P. Lapatowich, “Iterative Method for Computing the Inverse Abel Transform,” Appl. Phys. Lett. 50, 557–559 (1987).

[CrossRef]
[PubMed]

M. Deutsch, A. Notea, D. Pal, “Reconstruction of Discontinuous Density Profiles of Cylindrically Symmetric Objects from Single X-Ray Projections,” Appl. Opt. 27, 3962–3964 (1988).

[CrossRef]
[PubMed]

A. Notea, D. Pal, M. Deutsch, “Density Distribution in Cylindrically Symmetric Objects from a Single Radiographic Image,” in Proceedings, Fourth European Conference on Non-Destructive Testing, London (Sept.1987), in press.

M. Deutsch, A. Notea, D. Pal, “Reconstruction of Discontinuous Density Profiles of Cylindrically Symmetric Objects from Single X-Ray Projections,” Appl. Opt. 27, 3962–3964 (1988).

[CrossRef]
[PubMed]

A. Notea, D. Pal, M. Deutsch, “Density Distribution in Cylindrically Symmetric Objects from a Single Radiographic Image,” in Proceedings, Fourth European Conference on Non-Destructive Testing, London (Sept.1987), in press.

B. D. Sawicka, B. J. F. Palmer, “Density Gradients in Ceramic Pellets Measured by Computed Tomography,” Nucl. Instrum. Methods Phys. Res. A 263, 525–528 (1988).

W. J. Glantschnig, A. Holliday, K. D. Pohl, “Non-Destructive Characterization of Porous Soot Bouls,” Mater. Res. Soc. Symp. Proc. 88, 53–59 (1987); W. J. Glantschnig, A. Holliday, “Mass Fraction Profiling Based on X-Ray Tomography and Its Application to Characterizing Porous Silica Boules,” Appl. Opt. 26, 983–989 (1987).

[CrossRef]
[PubMed]

B. D. Sawicka, B. J. F. Palmer, “Density Gradients in Ceramic Pellets Measured by Computed Tomography,” Nucl. Instrum. Methods Phys. Res. A 263, 525–528 (1988).

E. T. Whitaker, G. N. Watson, A Course of Modern Analysis (Macmillan, New York, 1948).

E. T. Whitaker, G. N. Watson, A Course of Modern Analysis (Macmillan, New York, 1948).

M. Deutsch, I. Beniaminy, “Derivative-Free Inversion of Abel’s Integral Equation,” Appl. Phys. Lett. 41, 27–28 (1982).

[CrossRef]

I. J. D. Craig, “The Inversion of Abel’s Integral Equation in Astrophysical Problems,” Astron. Astrophys. 79, 121–127 (1979); R. Gordon, R. Bender, G. Herman, “Algebraic Reconstruction Techniques for Three Dimensional Electron Microscopy and X-Ray Photography,” J. Theor. Biol. 29, 471–481 (1970); A. J. Jakeman, R. S. Anderssen, “Abel Type Integral Equations in Stereology I. General Discussion,” J. Microsc. 105, 121–133 (1975).

[CrossRef]
[PubMed]

A. M. Cormack, “Representation of a Function by Its Line Integrals with Some Radiological Applications II,” J. Appl. Phys. 35, 2908–2913 (1964); K. M. Hanson, “Tomographic Reconstruction of Axially Symmetric Objects from a Single Radiograph,” Proc. Soc. Photo-Opt. Instrum. Eng. 491, 180–187 (1985).

[CrossRef]

M. Deutsch, I. Beniaminy, “Inversion of Abel’s Integral Equation for Experimental Data,” J. Appl. Phys. 54, 137–143 (1983).

[CrossRef]

W. J. Glantschnig, A. Holliday, K. D. Pohl, “Non-Destructive Characterization of Porous Soot Bouls,” Mater. Res. Soc. Symp. Proc. 88, 53–59 (1987); W. J. Glantschnig, A. Holliday, “Mass Fraction Profiling Based on X-Ray Tomography and Its Application to Characterizing Porous Silica Boules,” Appl. Opt. 26, 983–989 (1987).

[CrossRef]
[PubMed]

A. Kuthy, “An Interferometer and Abel Inversion Procedure for the Measurement of the Electron Density Profile in a Cold Gas Blanket Experiment,” Nucl. Instrum. Methods 180, 7–16 (1981); G. H. Minerbo, E. M. Levy, “Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 6, 598–616 (1969); E. W. Hansen, P-L. Law, “Recursive Methods for Computing the Abel Transform and Its Inverse,” J. Opt. Soc. Am. A 2, 510–520 (1985); R. S. Anderssen, “Stable Procedures for the Inversion of Abel’s Equation,” J. Inst. Math. Its Appl. 17, 329–342 (1976); C. J. Cremers, R. C. Birkebak, “Application of the Abel Integral Equation to Spectrographic Data,” Appl. Opt. 5, 1057–1064 (1966); M. Kalal, K. A. Nugent, “Abel Inversion Using Fast Fourier Transforms,” Appl. Opt. 27, 1956–1959 (1988); P. A. Vicharelli, W. P. Lapatowich, “Iterative Method for Computing the Inverse Abel Transform,” Appl. Phys. Lett. 50, 557–559 (1987).

[CrossRef]
[PubMed]

B. D. Sawicka, B. J. F. Palmer, “Density Gradients in Ceramic Pellets Measured by Computed Tomography,” Nucl. Instrum. Methods Phys. Res. A 263, 525–528 (1988).

R. N. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1978).

A. Notea, D. Pal, M. Deutsch, “Density Distribution in Cylindrically Symmetric Objects from a Single Radiographic Image,” in Proceedings, Fourth European Conference on Non-Destructive Testing, London (Sept.1987), in press.

E. T. Whitaker, G. N. Watson, A Course of Modern Analysis (Macmillan, New York, 1948).