Abstract: Due to traditional variational level set for image segmentation with slowly computing efficiency, a new varitional model(PDE) was proposed. Firstly, the energy function was modified, then the minimization problem was transformed to convex optimization problem via convex relaxation technictue,and a new auxiliary variable was introduced,at last, the additive operator splitting(AOS) numerical algorithm was applied. The effective results show that the proposed model for image segmentation is feasible and performs better than conventional variatioanl model.

Key words: Image segmentation, Level set, Convex relaxation technique, Auxiliary variable, AOS algorithm