Abstract This paper focuses on estimating reach probability of a closed unsafe set by stochastic process. A well-developed approach is to make use multi-level MC simulation, which consists encapsulating the sequence increasing sets and conducting simulations estimate each inner from previous set. An essential step copy (split) particles that have reached next level (inner set) prior simulation ...

We introduce a new method for segmentation of 3D medical data based on geometric variational principles. A minimal variance criterion is coupled with a geometric edge alignment measure and the geodesic active surface model. An efficient numerical scheme is proposed. In order to simultaneously detect a number of different objects in the image, a hierarchal method is presented. Finally, our metho...

This paper presents a distributed version of the Interval Geometric Machine Model [4], called Distributed Interval Geometric Machine, whose inductive construction allows recursive definitions for interval algorithms involving possibly infinite distributed and synchronous parallel computations performed over array structures. The sequence of transfinite natural numbers [8] is considered in order...