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References
Andersen AH, Kak AC (1984) Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm. Ultrasound Imaging 6:81–94
Cabral B, Cam N, Foran J (1994) Accelerated volume rendering and tomographic reconstruction using texture mapping hardware. 1994 symposium on volume visualization, Tysons Corner, Virginia, ACM SIGGRAPH, pp 91–98
Chang LT, Herman GT (1980) A scientific study of filter selection for a fan-beam convolution algorithm. Siam J Appl Math 39:83–105
Chidlow K, Möller T (2003) Rapid emission tomography reconstruction. Workshop on volume graphics (VG03), pp 15–26
Cormack AM (1963) Representation of a function by its line integrals, with some radiological applications. J Appl Phys 34:2722–2727
Defrise M, Clack R (1994) A cone-beam reconstruction algorithm using shift variant filtering and cone-beam backprojection. IEEE Trans Med Imaging 13:186–195
Donoho DL, Johnstone IM, Hoch JC, Stern AS (1992) Maximum entropy and the near black object. J R Statist Ser B 54:41–81
Euler E, Wirth S, Pfeifer KJ, Mutschler W, Hebecker A (2000) 3D-imaging with an isocentric mobile C-Arm. Electromedica 68:122–126
Feldkamp LA, Davis LC, Kress JW (1984) Practical cone-beam algorithm. J Opt Soc Am A 1:612–619
Geman D, Yang C (1995) Nonlinear image recovery with halfquadratic regularization. IEEE Trans Image Processing 4:932–946
Gordon R, Bender R, Herman GT (1970) Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography. J Theor Biol 29:471–481
Grangeat P (1991) Mathematical framework of cone-beam 3D reconstruction via the first derivative of the Radon transform. In: Herman GT, Louis AK (eds) Mathematical methods in tomography, lecture notes in mathematics. Springer, Berlin Heidelberg New York, pp 66–97
Hounsfield GN (1973) Computerized traverse axial scanning (tomography). Part I. Description of system. Br J Radiol 46:1016–1022
Hsiao IT, Rangarajan A, Gindi G (2002) A provably convergent OS-EM like reconstruction algorithm for emission tomography. Proc SPIE 4684:10–19
Hudson HM, Larkin RS (1994) Accelerated image reconstruction using ordered subsets of projection data. IEEE Trans Med Imaging 13:601–609
Kachelriess M, Schaller S, Kalender WA (2000) Advanced single slice rebinning in cone-beam spiral CT. Med Phys 27:754–772
Kalender WA, Seissler W, Klotz E, Vock P (1990) Spiral volumetric CT with single-breathhold technique, continuous transport, and continuous scanner rotation. Radiology 176:181–183
Kudo H, Saito T (1994) Derivation and implementation of a cone-beam reconstruction algorithm for non-planar orbits. IEEE Trans Med Imaging 13:196–211
Lange K, Carson R (1984) EM reconstruction algorithms for emission and transmission tomography. J Comput Tomogr 8:306–316
Mueller K (1998) Fast and accurate three-dimensional reconstruction from cone-beam projection data using algebraic methods. PhD dissertation, Ohio State University
Persson M, Bone D, Elmqvist H (2001) Total variation norm for three-dimensional iterative reconstruction in limited view angle tomography. Phys Med Biol 46:853–866
Qi J, Leahy RM (2000) Resolution and noise properties of MAP reconstruction for fully 3-D PET. IEEE Trans Med Imaging 19:493–506
Rudin LI, Osher LI, Fatemi E (1992) Nonlinear total variation based noise removal algorithms. Physica D 60:259–268
Schaller S, Flohr T, Steffen P (1997) New, efficient Fourier-reconstruction method for approximate image reconstruction in spiral cone-beam CT at small cone angles. SPIE Med Imag Conf Proc 3032:213–224
Shepp L, Logan BF (1974) Reconstructing interior head tissue from X-ray transmissions. IEEE Trans Nucl Sci 21:228–236
Stsepankou D, Müller U, Kornmesser K, Hesser J, Männer R (2003) FPGA-accelerated volume reconstruction from X-ray. World Conference on Medical Physics and Biomedical Engineering, Sydney, Australia
Tam KC, Samarasekera S, Sauer F (1998) Exact cone-beam CT with a spiral scan. Phys Med Biol 43:1015–1024
Tikhonov AN, Leonov AS, Yagola A (1997) Nonlinear ill-posed problems. Kluwer, Dordrecht
Toft P (1996) The radon transform: theory and implementation. PhD thesis, Department of Mathematical Modelling, Technical University of Denmark
Villain N, Goussard Y, Idier J, Allain M (2003) Three-dimensional edge-preserving image enhancement for computed tomography. IEEE Trans Med Imaging 22:1275–1287
Yan XH, Leahy RM (1992) Cone-beam tomography with circular, elliptical, and spiral orbits. Phys Med Biol 37:493–506
Yu DF, Fessler JA (2002) Edge-preserving tomographic reconstruction with nonlocal regularization. IEEE Trans Med Imaging 21:159–173
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Hesser, J., Stsepankou, D. (2006). 3D Reconstruction. In: Schlegel, W., Bortfeld, T., Grosu, AL. (eds) New Technologies in Radiation Oncology. Medical Radiology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-29999-8_2
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