A TOTAL VARIATION ENHANCED MODIFIED GRADIENT ALGORITHM FOR PROFILE RECONSTRUCTION

The total variation minimization method for deblurring noisy data is s hown to be effective in dramatically increasing the resolution in a mo dified gradient approach to index of refraction reconstruction from me asured scattered held data. Numerical evidence is presented which show s that by including the total variation in the functional to be minimi zed the reconstructions of piecewise constant profiles are considerabl y sharpened. The stability of the modified gradient method with respec t to noise is apparently also enhanced. Furthermore, the presence of t he total variation does not appear to adversely effect the established effectiveness of the modified gradient method in reconstructing smoot h profiles.