  Basing on invariant properties of universal multifractals we propose a simple
algorithm for interpolation of multifractal densities. The algorithm admits
generalization to a multidimensional case. Analitically obtained are
multifractal characteristics of the function interpolating initial data. We
establish the relation between the parameter existing in the algorithm and the
Levy index which is the main index for scaling function of universal
multifractals.
