A Fast Marching Method for the Area Based Affine Distance

In this paper we consider the problem of computing the area-based affine distance for a convex domain in the plane. Since this affine distance satisfies a non-homogeneous Monge-Amp`ere differential equation, we propose a fast marching method for its computation. The proposed algorithm is efficient and the obtained results are quite precise. We have also proved the convergence of the algorithm.

• Type: Journal
• Year: 2008
• Where: JMIV
• Authors: Moacyr A. H. B. da Silva, Ralph Teixeira, Sinésio Pesco, Marcos Craizer
• Keywords: Area-based Affine Distance, Convex Domain, Fast Marching Method, JMIV 2008