The Algebraic Range of the Planar X-Ray Transform of Symmetric Tensors and Applications to Noise Reduction

Author:

Fujiwara Hiroshi,Sadiq Kamran,Tamasan Alexandru

Publisher

Springer Nature Singapore

Reference21 articles.

1. Bukhgeim AL (1995) Inversion formulas in inverse problems. In: Lavrentiev MM, Savalev LY (eds) Linear operators and Ill-posed problems. Plenum, New York, pp 323–378

2. Fujiwara H, Tamasan A (2019) Numerical realization of a new generation tomography algorithm based on the Cauchy-type integral formula. Adv Math Sci Appl 28(2):413–424

3. Gel’fand IM, Graev MI (1960) Integrals over hyperplanes of basic and generalized functions. Soviet Math Dokl 1:1369–1372

4. Gompel GV, Defrise M, Dyck DV (2006) Elliptical extrapolation of truncated 2D CT projections using Helgason-Ludwig consistency conditions. In: Flynn MJ, Hsieh J (eds) Medical imaging 2006: physics of medical imaging, vol 6142. International Society for Optics and Photonics, SPIE, p 61424B. https://doi.org/10.1117/12.653293

5. Helgason S (1965) The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds. Acta Math 113:153–180. https://doi.org/10.1007/BF02391776

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