J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imaging 23, 269-284 (2004).

[CrossRef]
[PubMed]

W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004).

[CrossRef]
[PubMed]

I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003).

[CrossRef]
[PubMed]

O. Demirkaya, "Anisotropic diffusion filtering of PET attenuation data to improve emission images," Phys. Med. Biol. 47, N271-N278 (2002).

[CrossRef]
[PubMed]

J. Ling and A. C. Bovik, "Smoothing low-SNR molecular images via anisotropic median-diffusion," IEEE Trans. Med. Imaging 21, 377-384 (2002).

[CrossRef]
[PubMed]

G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002).

[CrossRef]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

Y. L. You and M. Kaveh, "Fourth-order partial differential equations for noise removal," IEEE Trans. Image Process. 9, 1723-1730 (2000).

[CrossRef]

S. Alenius, "On noise reduction in iterative image reconstruction algorithms for emission tomography: median root prior," Ph.D. dissertation (Tampere University of Technology, Tampere, Finland, 1999).

G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).

[CrossRef]

J. A. Fessler, "Grouped coordinate descent algorithms for robust edge-preserving image restoration," in Proc. SPIE 3170, 184-194 (1997).

[CrossRef]

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).

[CrossRef]
[PubMed]

S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall, 1993).

T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992).

[CrossRef]

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.

P. J. Green, "Bayesian reconstruction from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imaging 9, 84-93 (1990).

[CrossRef]
[PubMed]

J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990).

[CrossRef]

P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990).

[CrossRef]

S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).

[CrossRef]

L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982).

[CrossRef]

G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic, 1980).

T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).

S. Alenius, "On noise reduction in iterative image reconstruction algorithms for emission tomography: median root prior," Ph.D. dissertation (Tampere University of Technology, Tampere, Finland, 1999).

S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).

[CrossRef]

S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).

[CrossRef]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990).

[CrossRef]

J. Ling and A. C. Bovik, "Smoothing low-SNR molecular images via anisotropic median-diffusion," IEEE Trans. Med. Imaging 21, 377-384 (2002).

[CrossRef]
[PubMed]

T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).

W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004).

[CrossRef]
[PubMed]

O. Demirkaya, "Anisotropic diffusion filtering of PET attenuation data to improve emission images," Phys. Med. Biol. 47, N271-N278 (2002).

[CrossRef]
[PubMed]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imaging 23, 269-284 (2004).

[CrossRef]
[PubMed]

J. A. Fessler, "Grouped coordinate descent algorithms for robust edge-preserving image restoration," in Proc. SPIE 3170, 184-194 (1997).

[CrossRef]

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).

[CrossRef]

S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).

[CrossRef]

G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002).

[CrossRef]

I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003).

[CrossRef]
[PubMed]

P. J. Green, "Bayesian reconstruction from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imaging 9, 84-93 (1990).

[CrossRef]
[PubMed]

T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).

W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004).

[CrossRef]
[PubMed]

T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992).

[CrossRef]

G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic, 1980).

W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004).

[CrossRef]
[PubMed]

I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003).

[CrossRef]
[PubMed]

T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

Y. L. You and M. Kaveh, "Fourth-order partial differential equations for noise removal," IEEE Trans. Image Process. 9, 1723-1730 (2000).

[CrossRef]

S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall, 1993).

G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.

J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990).

[CrossRef]

T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992).

[CrossRef]

Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).

[CrossRef]
[PubMed]

J. Ling and A. C. Bovik, "Smoothing low-SNR molecular images via anisotropic median-diffusion," IEEE Trans. Med. Imaging 21, 377-384 (2002).

[CrossRef]
[PubMed]

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990).

[CrossRef]

J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990).

[CrossRef]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990).

[CrossRef]

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.

Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).

[CrossRef]
[PubMed]

I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003).

[CrossRef]
[PubMed]

S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).

[CrossRef]

L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982).

[CrossRef]

G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002).

[CrossRef]

J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imaging 23, 269-284 (2004).

[CrossRef]
[PubMed]

G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.

G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.

L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982).

[CrossRef]

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.

Y. L. You and M. Kaveh, "Fourth-order partial differential equations for noise removal," IEEE Trans. Image Process. 9, 1723-1730 (2000).

[CrossRef]

G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002).

[CrossRef]

Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).

[CrossRef]
[PubMed]

Y. L. You and M. Kaveh, "Fourth-order partial differential equations for noise removal," IEEE Trans. Image Process. 9, 1723-1730 (2000).

[CrossRef]

G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002).

[CrossRef]

Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).

[CrossRef]
[PubMed]

L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982).

[CrossRef]

P. J. Green, "Bayesian reconstruction from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imaging 9, 84-93 (1990).

[CrossRef]
[PubMed]

J. Ling and A. C. Bovik, "Smoothing low-SNR molecular images via anisotropic median-diffusion," IEEE Trans. Med. Imaging 21, 377-384 (2002).

[CrossRef]
[PubMed]

I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003).

[CrossRef]
[PubMed]

J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imaging 23, 269-284 (2004).

[CrossRef]
[PubMed]

J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).

[CrossRef]

S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).

[CrossRef]

P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990).

[CrossRef]

S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).

[CrossRef]

T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992).

[CrossRef]

M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997).

[CrossRef]

J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998).

[CrossRef]

O. Demirkaya, "Anisotropic diffusion filtering of PET attenuation data to improve emission images," Phys. Med. Biol. 47, N271-N278 (2002).

[CrossRef]
[PubMed]

W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004).

[CrossRef]
[PubMed]

J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990).

[CrossRef]

J. A. Fessler, "Grouped coordinate descent algorithms for robust edge-preserving image restoration," in Proc. SPIE 3170, 184-194 (1997).

[CrossRef]

G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic, 1980).

T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).

G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.

S. Alenius, "On noise reduction in iterative image reconstruction algorithms for emission tomography: median root prior," Ph.D. dissertation (Tampere University of Technology, Tampere, Finland, 1999).

S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall, 1993).

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.