Abel inversion using Legendre wavelets expansion

A new method is presented for reconstruction of the radially distributed emissivity from the line-of-sight projected intensity. The method is based on approximating the projected intensity profile by Legendre wavelets. The coefficients of the approximation are computed using the inner product of Legendre wavelets and the intensity profile. The emissivity profile is then obtained by the combination of the functions related to Legendre wavelets. The method is more accurate and noise resistant than other methods when applied to experimental data, and there is no need for a complete noise filtering of the intensity data before applying the inversion.