References
- Natterer F. The mathematics of computerized tomography. Stuttgart: Teubner; 1986.
- Kunyansky LA. Generalized and attenuated Radon transforms:restorative approach to the numerical inversion. Inverse Probl. 1992;8:809–819.
- Quinto ET. The invertibility of rotation invariant Radon transforms. J. Math. Anal. Appl. 1983;91:510–522.
- Miqueles EX, De Pierro AR. Fluorescence tomography:reconstruction by iterative methods, ISBI. 2008;8:760–763.
- Bal G. Inverse transport theory and applications, Inverse Probl. 2009;25:053001 (48pp).
- Radon J. Uber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten. Ber. Verh. Sachs. Akad. Wiss. Leipzig, Math-Nat. 1917;K 1 69:262–267.
- Novikov RG. An inversion formula for the attenuated X-ray transformation. Ark. Mat. 2002;40:145–167.
- Tretiak OJ, Metz C. The exponential Radon transform. SIAM J. Appl. Math. 1980;39:341–354.
- Boman J, Strömberg JO. Novikov’s inversion formula for the attenuated Radon transform - a new approach. J. Geom. Anal. 2004;14:185–198.
- Gindikin S. A remark on the weighted Radon transform on the plane. Inverse Probl. Imag. 2010;4:649–653.
- Novikov RG. Weighted Radon transforms for which Chang’s approximate inversion formula is exact. Uspekhi Mat. Nauk. 2011;66(2):237–238.
- Arbuzov EV, Bukhgeim AL, Kazantsev SG. Two-dimensional tomography problems and the theory of A-analytic functions. Siberian Adv. Math. 1998;8(4):1–20.
- Boman J. An example of non-uniqueness for a generalized Radon transform. J. Anal. Math. 1993;61:395–401.
- Boman J, Quinto ET. Support theorems for real-analytic Radon transforms. Duke Math. J. 1987;55:943–948.
- Chang LT. A method for attenuation correction in radionuclide computed tomography. IEEE Trans. Nucl. Sci. 1978;NS–25:638–643.
- Guillement J-P, Novikov RG. Optimized analytic reconstruction for SPECT. J. Inv. Ill-Posed Problems. 2012;20:489–500.
- Novikov RG. Weighted Radon transforms and first order differential systems on the plane, Available from: http://hal.archives-ouvertes.fr/hal-00714524.
- Beilina L, Klibanov MV. The philosophy of the approximate global convergence for multidimensional coefficient inverse problems. Complex Var. and Ellip. Equa. 2012;57(2–4):277–299.
- Beilina L, Klibanov MV. Approximate global convergence and adaptivity for coefficient inverse problems. New York: Springer; 2012.
- Vekua IN. Generalized analytic functions. London: Pergamon Press; 1962.
- Bronnikov AV. Reconstruction of the attenuation map using discrete consistency conditions. IEEE Trans. Med. Imaging. 2000;19:451–462.
- Guillement J-P, Novikov RG. On Wiener type filters in SPECT. Inverse Probl. 2008;24:025001.
- Guillement J-P, Jauberteau F, Kunyansky L, Novikov R, Trebossen R. On single-photon emission computed tomography imaging based on an exact formula for the nonuniform attenuation correction. Inverse Probl. 2002;18:L11–L19.