Abstract : This paper firstly introduces a wavelet-based segmentation for three-dimensional (3D) Semi-Regular (SR) meshes, as a pre-processing step, in a region-independent progressive coding algorithm. The proposed segmentation process aims at producing homogeneous regions with respect to their frequency amplitudes on the mesh surface, in other words: patches with different degrees of roughness. We have then studied the behavior of the wavelets, obtained during the independent coding of each region, especially close to the patch boundaries. The main contribution of this paper consists in considering three different possible wavelet decompositions, close to the region borders, and to study their influence during the patchindependent decoding and more particularly during the view-dependent reconstruction process. To our knowledge, no previous work has ever considered the influence of the non-refined parts of a mesh on the more detailed ones, in a viewdependent context. Among the three decompositions we have considered, we defined a new scheme and finally expose various experimentations to demonstrate that it behaves better than the other classical considerations.