|Stochastic Systems Group|
Based on recent work on Stochastic Partial Differential Equations (SPDEs), I will presents a simple and well-founded method to implement the stochastic evolution of a curve. To guarantee the well-posedness of the evolution and to make it independent of the implicit representation of the initial curve, a Stratonovich differential has to be introduced. To implement this differential, a standard Ito plus drift approximation is proposed to turn an implicit scheme into an explicit one. Subsequently, this evolution model is combined with Simulated Annealing and applied to a region segmentation problem.
The proposed extension can deal with local minima and with complex cases where the gradient of the objective function with respect to the shape is impossible to derive exactly.
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