Analytical procedure to determine the self-referred lacunarity function   for simple shapes. Supplementary material
  The analytical calculation of the self-referred lacunarity is used as a validation standard of the computational algorithm. In this supplementary material to our article (see cond-mat/0407079) we present a detailed calculation for two simple shapes, namely a square box and a cross. 
Erbe P. Rodrigues, Marconi. S. Barbosa and Luciano da F. Costa