A Probability Model for Simple Closed Random Curves

Abstract

A Gibbsian probability measure is defined on the set of possible shapes of simple (i.e., not self-intersecting) and closed curves on a discretized lattice. Expressions have been derived for such quantities as the entropy, average perimeter length, and area in terms of the model parameters, and an iterative procedure has been devised for generating sample objects according to this distribution. © 1981 IEEE