TPF-scilab

The inverse Abel transformation.

The solution of an equation of Abel type by numerical methods. Variants of the solution are given for example in [1-3]. One variant - “two-point formula” (TPF) was implemented in the Scilab software environment. SciLab – free mathematical software compatible with MATLAB.

[russian]

Решение уравнения типа Абеля численными методами. Варианты решения приведены например в [1-3]. Один вариант - «two-point formula» (TPF) был реализован в программной среде Scilab. Scilab - свободная математическая среда, совместимая с MATLAB.

Requires to work

Scilab

References

1. C. J. Dasch, “One-dimensional tomography: a comparison of Abel, onion-peeling, and filtered backprojection methods,” Applied Optics, vol. 31, no. 8, p. 1146, Mar. 1992.
2. P. S. Kolhe and A. K. Agrawal, “Abel inversion of deflectometric data: comparison of accuracy and noise propagation of existing techniques,” Applied optics, vol. 48, no. 20, pp. 3894–3902, 2009.
3. H. Chehouani and M. El Fagrich, “Adaptation of the Fourier–Hankel method for deflection tomographic reconstruction of axisymmetric field,” Applied Optics, vol. 52, no. 3, p. 439, Jan. 2013.