Reconstruction of Crofton Measures from Projective Finsler Metrics in R3
  A solution of Hilberts fourth problem lead to integral equation of the type generalized cosine transform. The present paper considers the solution that integral equation by integral geometry methods and propose an inversion formula for reconstruction of Crofton measures from projective smooth Finsler metrics in R3. 
Rafik Aramyan
math.MG math.DG