论文信息 - Approximate reconstruction from ray integrals of a function on a domain with low refraction - 字舞流文

Approximate reconstruction from ray integrals of a function on a domain with low refraction

I. E. Svetov | S. Maltseva | I. Svetov | E. Derevtsov

[1] I. E. Svetov,et al. A numerical solver based on B-splines for 2D vector field tomography in a refracting medium , 2014, Math. Comput. Simul..

[2] Thomas Schuster,et al. Tomographic Reconstruction of the Curl and Divergence of 2D Vector Fields Taking Refractions into Account , 2011, SIAM J. Imaging Sci..

[3] A. Louis. Approximate inverse for linear and some nonlinear problems , 1995 .

[4] S. Deans. The Radon Transform and Some of Its Applications , 1983 .

[5] A. Cormack,et al. The Radon transform on a family of curves in the plane. II , 1981 .

[6] Anthony Ralston,et al. Statistical Methods for Digital Computers. , 1980 .

[7] V. Romano. The representation of functions by integrals on a family of curves , 1967 .

[8] Salomon Bochner,et al. Curvature and Betti numbers , 1948 .

[9] Tal Schuster,et al. Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem , 2000 .

[10] V. Sharafutdinov,et al. Numerical solution of the emission 2D-tomography problem for a medium with absorption and refraction , 1999 .

[11] F. Natterer. The Mathematics of Computerized Tomography , 1986 .

[12] G. N. Lance,et al. Numerical methods for high speed computers , 1960 .