A. I. Katsevich, "Improved cone beam local tomography," Inverse Probl. 22, 627-643 (2006).

[Crossref]

Y. Zou, X. Pan, and E. Y. Sidky, "Theory and algorithms for image reconstruction on chords and within regions of interest," J. Opt. Soc. Am. A 22, 2372-2384 (2005).

[Crossref]

J. D. Pack, F. Noo, and R. Clackdoyle, "Cone-beam reconstruction using the backprojection of locally filtered projections," IEEE Trans. Med. Imaging 24, 2317-2336 (2005).

[Crossref]

J. D. Pack and F. Noo, "Cone-beam reconstruction using 1D filtering along the projection of M-lines," Inverse Probl. 21, 1105-1120 (2005).

[Crossref]

X. Pan, Y. Zou, and D. Xia, "Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data," Med. Phys. 32, 673-684 (2005).

[Crossref]
[PubMed]

Y. Zou, X. Pan, and E. Y. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol. 50, 13-27 (2005).

[Crossref]
[PubMed]

Y. Ye and G. Wang, "Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve," Med. Phys. 32, 42-48 (2005).

[Crossref]
[PubMed]

E. Y. Sidky, Y. Zou, and X. Pan, "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2004).

[Crossref]

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

Y. Zou and X. Pan, "Exact image reconstruction on PI-line from minimum data in helical cone-beam CT," Phys. Med. Biol. 49, 941-959 (2004).

[Crossref]
[PubMed]

Y. Zou and X. Pan, "Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT," Phys. Med. Biol. 49, 2717-2731 (2004).

[Crossref]
[PubMed]

A. Katsevich, "Image reconstruction for the circle and line trajectory," Phys. Med. Biol. 49, 5059-5072 (2004).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

A. Faridani and E. L. Ritman, "High-resolution computed tomography from efficient sampling," Inverse Probl. 16, 635-650 (2000).

[Crossref]

A. Katsevich, "Cone beam local tomography," SIAM J. Appl. Math. 59, 2224-2246 (1999).

[Crossref]

K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol. 43, 1015-1024 (1998).

[Crossref]
[PubMed]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

G. Wang, D. Snyder, and M. Vannier, "Local computed tomography via iterative deblurring," Scanning 18, 582-588 (1996).

[PubMed]

A. Louis and P. Maass, "Contour reconstruction in 3D X-ray CT," IEEE Trans. Med. Imaging 12, 764-769 (1993).

[Crossref]
[PubMed]

E. T. Quinto, "Singularities of the X-ray transform and limited data tomography in R2," SIAM J. Math. Anal. 24, 1215-1225 (1993).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Local tomography," SIAM J. Appl. Math. 52, 459-484 (1992).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Examples of local tomography," SIAM J. Appl. Math. 52, 1193-1198 (1992).

[Crossref]

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

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

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

H. H. Barrett and K. J. Myer, Foundations of Image Science (Wiley, 2004).

A. Faridani, K. Buglione, P. Huabsomboon, O. Iancu, and J. McGrath, "Introduction to local tomography," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001).

[Crossref]

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

J. D. Pack, F. Noo, and R. Clackdoyle, "Cone-beam reconstruction using the backprojection of locally filtered projections," IEEE Trans. Med. Imaging 24, 2317-2336 (2005).

[Crossref]

P. E. Danielsson, P. Edholm, J. Eriksson, and M. Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition," in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D.W.Townsend and P.E.Kinahan, eds., Pittsburgh, Pa. (1997), pp. 141-144.

P. E. Danielsson, P. Edholm, J. Eriksson, and M. Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition," in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D.W.Townsend and P.E.Kinahan, eds., Pittsburgh, Pa. (1997), pp. 141-144.

P. E. Danielsson, P. Edholm, J. Eriksson, and M. Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition," in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D.W.Townsend and P.E.Kinahan, eds., Pittsburgh, Pa. (1997), pp. 141-144.

A. Faridani and E. L. Ritman, "High-resolution computed tomography from efficient sampling," Inverse Probl. 16, 635-650 (2000).

[Crossref]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Local tomography," SIAM J. Appl. Math. 52, 459-484 (1992).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Examples of local tomography," SIAM J. Appl. Math. 52, 1193-1198 (1992).

[Crossref]

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

A. Faridani, K. Buglione, P. Huabsomboon, O. Iancu, and J. McGrath, "Introduction to local tomography," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001).

[Crossref]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

A. Grigis and J. Sjostrand, Microlocal Analysis for Differential Operators: An Introduction (Cambridge U. Press, 1994).

F. B. Hildebrand, Advanced Calculus for Applications, 2nd ed. (Prentice Hall, 1976).

A. Faridani, K. Buglione, P. Huabsomboon, O. Iancu, and J. McGrath, "Introduction to local tomography," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001).

[Crossref]

A. Faridani, K. Buglione, P. Huabsomboon, O. Iancu, and J. McGrath, "Introduction to local tomography," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001).

[Crossref]

A. Katsevich, "Image reconstruction for the circle and line trajectory," Phys. Med. Biol. 49, 5059-5072 (2004).

[Crossref]
[PubMed]

A. Katsevich, "Cone beam local tomography," SIAM J. Appl. Math. 59, 2224-2246 (1999).

[Crossref]

A. Katsevich, "Theoretically exact FBP-type inversion algorithm for spiral CT," in The Sixth International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, Asilomar, Calif., Oct. 30-Nov. 2, 2001, pp. 3-6.

A. I. Katsevich, "Improved cone beam local tomography," Inverse Probl. 22, 627-643 (2006).

[Crossref]

A. G. Ramm and A. I. Katsevich, The Radon Transform and Local Tomography (CRC Press, 1996).

I.-R. Lan, "On an operator associated to a restricted x-ray transform," Ph.D. thesis (Oregon State University, 1999).

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

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

A. Louis and P. Maass, "Contour reconstruction in 3D X-ray CT," IEEE Trans. Med. Imaging 12, 764-769 (1993).

[Crossref]
[PubMed]

A. Louis and P. Maass, "Contour reconstruction in 3D X-ray CT," IEEE Trans. Med. Imaging 12, 764-769 (1993).

[Crossref]
[PubMed]

A. Faridani, K. Buglione, P. Huabsomboon, O. Iancu, and J. McGrath, "Introduction to local tomography," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001).

[Crossref]

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

H. H. Barrett and K. J. Myer, Foundations of Image Science (Wiley, 2004).

F. Natterer, The Mathematics of Computerized Tomography (Wiley, 1986).

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

J. D. Pack and F. Noo, "Cone-beam reconstruction using 1D filtering along the projection of M-lines," Inverse Probl. 21, 1105-1120 (2005).

[Crossref]

J. D. Pack, F. Noo, and R. Clackdoyle, "Cone-beam reconstruction using the backprojection of locally filtered projections," IEEE Trans. Med. Imaging 24, 2317-2336 (2005).

[Crossref]

J. D. Pack and F. Noo, "Cone-beam reconstruction using 1D filtering along the projection of M-lines," Inverse Probl. 21, 1105-1120 (2005).

[Crossref]

J. D. Pack, F. Noo, and R. Clackdoyle, "Cone-beam reconstruction using the backprojection of locally filtered projections," IEEE Trans. Med. Imaging 24, 2317-2336 (2005).

[Crossref]

Y. Zou, X. Pan, and E. Y. Sidky, "Theory and algorithms for image reconstruction on chords and within regions of interest," J. Opt. Soc. Am. A 22, 2372-2384 (2005).

[Crossref]

X. Pan, Y. Zou, and D. Xia, "Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data," Med. Phys. 32, 673-684 (2005).

[Crossref]
[PubMed]

Y. Zou, X. Pan, and E. Y. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol. 50, 13-27 (2005).

[Crossref]
[PubMed]

E. Y. Sidky, Y. Zou, and X. Pan, "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2004).

[Crossref]

Y. Zou and X. Pan, "Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT," Phys. Med. Biol. 49, 2717-2731 (2004).

[Crossref]
[PubMed]

Y. Zou and X. Pan, "Exact image reconstruction on PI-line from minimum data in helical cone-beam CT," Phys. Med. Biol. 49, 941-959 (2004).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

E. T. Quinto, "Singularities of the X-ray transform and limited data tomography in R2," SIAM J. Math. Anal. 24, 1215-1225 (1993).

[Crossref]

E. T. Quinto, "Radon transforms, differential equations, and microlocal analysis," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001), Vol. 278, pp. 57-68.

[Crossref]

A. G. Ramm and A. I. Katsevich, The Radon Transform and Local Tomography (CRC Press, 1996).

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

A. Faridani and E. L. Ritman, "High-resolution computed tomography from efficient sampling," Inverse Probl. 16, 635-650 (2000).

[Crossref]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Examples of local tomography," SIAM J. Appl. Math. 52, 1193-1198 (1992).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Local tomography," SIAM J. Appl. Math. 52, 459-484 (1992).

[Crossref]

K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol. 43, 1015-1024 (1998).

[Crossref]
[PubMed]

K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol. 43, 1015-1024 (1998).

[Crossref]
[PubMed]

P. E. Danielsson, P. Edholm, J. Eriksson, and M. Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition," in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D.W.Townsend and P.E.Kinahan, eds., Pittsburgh, Pa. (1997), pp. 141-144.

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

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

Y. Zou, X. Pan, and E. Y. Sidky, "Theory and algorithms for image reconstruction on chords and within regions of interest," J. Opt. Soc. Am. A 22, 2372-2384 (2005).

[Crossref]

Y. Zou, X. Pan, and E. Y. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol. 50, 13-27 (2005).

[Crossref]
[PubMed]

E. Y. Sidky, Y. Zou, and X. Pan, "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2004).

[Crossref]

A. Grigis and J. Sjostrand, Microlocal Analysis for Differential Operators: An Introduction (Cambridge U. Press, 1994).

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Local tomography," SIAM J. Appl. Math. 52, 459-484 (1992).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Examples of local tomography," SIAM J. Appl. Math. 52, 1193-1198 (1992).

[Crossref]

G. Wang, D. Snyder, and M. Vannier, "Local computed tomography via iterative deblurring," Scanning 18, 582-588 (1996).

[PubMed]

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol. 43, 1015-1024 (1998).

[Crossref]
[PubMed]

G. Wang, D. Snyder, and M. Vannier, "Local computed tomography via iterative deblurring," Scanning 18, 582-588 (1996).

[PubMed]

Y. Ye and G. Wang, "Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve," Med. Phys. 32, 42-48 (2005).

[Crossref]
[PubMed]

G. Wang, D. Snyder, and M. Vannier, "Local computed tomography via iterative deblurring," Scanning 18, 582-588 (1996).

[PubMed]

E. W. Weisstein, "Transversal intersection," in Math World--A Wolfram Web Resource, http://mathworld.wolfram.com/TransversalIntersection.html, 2006.

X. Pan, Y. Zou, and D. Xia, "Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data," Med. Phys. 32, 673-684 (2005).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

Y. Ye and G. Wang, "Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve," Med. Phys. 32, 42-48 (2005).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

Y. Zou, X. Pan, and E. Y. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol. 50, 13-27 (2005).

[Crossref]
[PubMed]

Y. Zou, X. Pan, and E. Y. Sidky, "Theory and algorithms for image reconstruction on chords and within regions of interest," J. Opt. Soc. Am. A 22, 2372-2384 (2005).

[Crossref]

X. Pan, Y. Zou, and D. Xia, "Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data," Med. Phys. 32, 673-684 (2005).

[Crossref]
[PubMed]

E. Y. Sidky, Y. Zou, and X. Pan, "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2004).

[Crossref]

Y. Zou and X. Pan, "Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT," Phys. Med. Biol. 49, 2717-2731 (2004).

[Crossref]
[PubMed]

Y. Zou and X. Pan, "Exact image reconstruction on PI-line from minimum data in helical cone-beam CT," Phys. Med. Biol. 49, 941-959 (2004).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

J. D. Pack, F. Noo, and R. Clackdoyle, "Cone-beam reconstruction using the backprojection of locally filtered projections," IEEE Trans. Med. Imaging 24, 2317-2336 (2005).

[Crossref]

W. Spyra, A. Faridani, E. Ritman, and K. Smith, "Computed tomographic imaging of the coronary tree--use of local tomography," IEEE Trans. Med. Imaging 9, 1-4 (1990).

[Crossref]
[PubMed]

A. Louis and P. Maass, "Contour reconstruction in 3D X-ray CT," IEEE Trans. Med. Imaging 12, 764-769 (1993).

[Crossref]
[PubMed]

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

A. I. Katsevich, "Improved cone beam local tomography," Inverse Probl. 22, 627-643 (2006).

[Crossref]

J. D. Pack and F. Noo, "Cone-beam reconstruction using 1D filtering along the projection of M-lines," Inverse Probl. 21, 1105-1120 (2005).

[Crossref]

A. Faridani and E. L. Ritman, "High-resolution computed tomography from efficient sampling," Inverse Probl. 16, 635-650 (2000).

[Crossref]

Y. Ye and G. Wang, "Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve," Med. Phys. 32, 42-48 (2005).

[Crossref]
[PubMed]

X. Pan, Y. Zou, and D. Xia, "Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data," Med. Phys. 32, 673-684 (2005).

[Crossref]
[PubMed]

M. A. Anastasio, D. Shi, X. Pan, C. A. Pelizzari, and P. Munro, "A preliminary investigation of local tomography for megavoltage CT imaging," Med. Phys. 30, 2969-2980 (2003).

[Crossref]
[PubMed]

A. Katsevich, "Image reconstruction for the circle and line trajectory," Phys. Med. Biol. 49, 5059-5072 (2004).

[Crossref]
[PubMed]

X. Pan, D. Xia, Y. Zou, and L. Yu, "A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans," Phys. Med. Biol. 49, 4349-4369 (2004).

[Crossref]
[PubMed]

K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol. 43, 1015-1024 (1998).

[Crossref]
[PubMed]

Y. Zou, X. Pan, and E. Y. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol. 50, 13-27 (2005).

[Crossref]
[PubMed]

E. Y. Sidky, Y. Zou, and X. Pan, "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2004).

[Crossref]

T. Zhuang, S. Leng, B. E. Nett, and G. Chen, "Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data," Phys. Med. Biol. 49, 5489-5503 (2004).

[Crossref]

Y. Zou and X. Pan, "Exact image reconstruction on PI-line from minimum data in helical cone-beam CT," Phys. Med. Biol. 49, 941-959 (2004).

[Crossref]
[PubMed]

Y. Zou and X. Pan, "Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT," Phys. Med. Biol. 49, 2717-2731 (2004).

[Crossref]
[PubMed]

G. Wang, D. Snyder, and M. Vannier, "Local computed tomography via iterative deblurring," Scanning 18, 582-588 (1996).

[PubMed]

A. Faridani, D. V. Finch, E. L. Ritman, and K. T. Smith, "Local tomography II," SIAM J. Appl. Math. 57, 1095-1127 (1997).

[Crossref]

A. Katsevich, "Cone beam local tomography," SIAM J. Appl. Math. 59, 2224-2246 (1999).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Local tomography," SIAM J. Appl. Math. 52, 459-484 (1992).

[Crossref]

A. Faridani, E. L. Ritman, and K. T. Smith, "Examples of local tomography," SIAM J. Appl. Math. 52, 1193-1198 (1992).

[Crossref]

E. T. Quinto, "Singularities of the X-ray transform and limited data tomography in R2," SIAM J. Math. Anal. 24, 1215-1225 (1993).

[Crossref]

E. W. Weisstein, "Transversal intersection," in Math World--A Wolfram Web Resource, http://mathworld.wolfram.com/TransversalIntersection.html, 2006.

F. B. Hildebrand, Advanced Calculus for Applications, 2nd ed. (Prentice Hall, 1976).

I.-R. Lan, "On an operator associated to a restricted x-ray transform," Ph.D. thesis (Oregon State University, 1999).

H. H. Barrett and K. J. Myer, Foundations of Image Science (Wiley, 2004).

A. Grigis and J. Sjostrand, Microlocal Analysis for Differential Operators: An Introduction (Cambridge U. Press, 1994).

E. T. Quinto, "Radon transforms, differential equations, and microlocal analysis," in Contemporary Mathematics: Radon Transforms and Tomography (American Mathematical Society, 2001), Vol. 278, pp. 57-68.

[Crossref]

P. E. Danielsson, P. Edholm, J. Eriksson, and M. Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition," in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D.W.Townsend and P.E.Kinahan, eds., Pittsburgh, Pa. (1997), pp. 141-144.

A. G. Ramm and A. I. Katsevich, The Radon Transform and Local Tomography (CRC Press, 1996).

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[Crossref]

F. Natterer, The Mathematics of Computerized Tomography (Wiley, 1986).

A. Katsevich, "Theoretically exact FBP-type inversion algorithm for spiral CT," in The Sixth International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, Asilomar, Calif., Oct. 30-Nov. 2, 2001, pp. 3-6.