In this paper we analyze the current standardization situation for 3D geometry coding. In particular we concentrate on the topological surgery compression which is a basis for the MPEG-4 version 2 standard. In the method 3D surfaces represented by a triangular meshes are cut to form two trees: a spanning tree of vertices and a spanning tree of triangles. We show that for certain meshes with small number of vertices one can represent the mesh only by a triangle tree with some gain in compression. We have not demonstrated that such cut can be done for a general mesh nor that if this happens there is gain in compression, compared to the 2 trees representation.
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