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Position information is vital for wireless sensor networks in many applications. In this paper, based on the barycentric coordinate system, we incorporate a term constrains sensors to remain the intrinsic structure revealed by range measurements between neighboring nodes into the STRESS function, which is the cost function optimized by the distributed weighted-multidimensional scaling algorithm (dwMDS). By minimizing the modified cost function, we derive a distributed localization algorithm called the Multidimensional Scaling and Barycentric Coordinates based Distributed Localization Algorithm (MDS_BC_DLA). Experimental results on four different types of WSNs show MDS_BC_DLA outperforms dwMDS.