New idea for smoothing of plasma profiles is being tested

The idea for smoothing of plasma profiles is based on routine implemented in the ASTRA code. The resulting function is based on finding of the minimum of the functional

 intleft(alpha frac{dU}{dx}^2+(U-F)^2right) dx

with respect to U. The functional is design for the cylindrical case and the resulting function has zero derivative for x=0 and preserve boundary condition at x=1. The description of the method can be found at:

  1. B. K. P. Horn and B. G. Schunck, Artifical Intelligence, 17:185-203, 1981.
  2. N. P. Galatsanos and A. K. Katsaggelos. IEEE transaction on image processing, 1(3):322-336, 1992.