Regularity of densities in relaxed and penalized average distance problem
Regularity of densities in relaxed and penalized average distance problem
The average distance problem finds application in data parameterization, which involves``representing'' the data using lower dimensional objects. Froma computational point of view it is often convenient to restrictthe unknown to the family of parameterized curves.The original formulation of the average distance problem exhibits several undesirable properties. In this paper we …