Projection estimates of point processes boundaries
  We present a method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on projections on C^1 bases and on extreme points of the point process. We give conditions on the Dirichlet's kernel associated to the C^1 bases for various kinds of convergence and asymptotic normality. We propose a method for reducing the negative bias and illustrate it by a simulation. 
St\'ephane Girard and Pierre Jacob
stat.ME math.ST stat.TH