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In this study, the objective is to develop a new combined method for efficient compression of the classical 3D object mesh representation. This can be realized in two primary steps: mesh connectivity coding and data (geometry) compression. For realizing the first step, the algorithm of Isenburg (2002) has been employed. For the second step, vector quantization methods have been used to compress the vertex coordinate. The difference between our study and the others is that our study uses the ECVQ method for vertex coordinate compression to improve the results.