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Profiled surface structures,which have the advantages of light weight,strong bearing capacity and material saving,are widely used in engineering field,such as aircraft,vehicles,submarines,etc.So far,the optimization of profiled surface structures have been widely concerned by both engineering and academia.Most of traditional approaches actually do topology optimization of profiled surface structures in an implicit way[1,2].This means that in these approaches the optimal structural topology is identified from a black-and-white pixel image and it is difficult to extract results for post processing.