Main publications on solving the problem of Image Reconstruction From a Finite Number of Projections (The problem was solved):
- A.M. Grigoryan and M.M. Grigoryan, Image Processing: Tensor Transform and Discrete Tomography with MATLAB, CRC Press Taylor and Francis Group, 2012.
- A.M. Grigoryan, “Image reconstruction from finite number of projections: Method of transferring geometry,” IEEE Trans. on Image Processing, vol. 22, no. 12, pp. 4738-4751, December 2013 (view at IEEE).
- A.M. Grigoryan, “Solution of the problem on image reconstruction in computed tomography,” Journal of Mathematical Imaging and Vision, vol. 54, Issue 1, pp. 35-63, January 2016. (view at JMIV).
- A.M. Grigoryan, Nan Du, “Principle of superposition by direction images,” IEEE Trans. on Image Processing, vol. 20, no. 9, pp. 2531-2541, September 2011 (view at IEEE)
- A.M. Grigoryan, Nan Du, “Comments on “Generalized finite Radon transform for N×N images”,” IMAVIS, vol. 29, no 11, pp. 797-801, November 2011. (view at Image and Vision Computing)
- A.M. Grigoryan and Nan Du, “Novel tensor transform-based method of image reconstruction from limited-angle projection data,” [9020-14], SPIE proceedings, 2014 Electronic Imaging: Computational Imaging XII, February 2-6, San Francisco, California, 2014.
- A.M. Grigoryan and Nan Du, “New formula for image reconstruction from projections by the 2-D paired transformation,” presented in 2009 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2009), pp. 153-156, San Antonio, Texas, USA, October 11-14, 2009 (view at IEEE or see the presentation in Slides and Posters)
- A.M, Grigoryan and Nan Du, “Method of field transformation of G-particles for image reconstruction from a finite number of projections,” SPIE proceedings, SPIE Electronic Imaging, February 3-7, Burlingame, California, 2013.
- Nan Du, Y. Feng, and A.M, Grigoryan, “Reconstruction of the image on the Cartesian lattice from a finite number of projections in computed-tomographic imaging,” SPIE proceedings, SPIE Electronic Imaging, February 3-7, Burlingame, California, 2013.
- Nan Du, Y. Feng, and A.M, Grigoryan, “Image reconstruction from limited-angle range projections,” SPIE proceedings, SPIE Medical Imaging, February 9-14, Florida, 2013.