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Multiresolution representations of geometric objects have gained much of interest in many computer graphics areas, especially geometric modeling. The multiresolution representation has various applications such as mesh compression, progressive transmission, adaptive visualization and multiresolution mesh editing. In boundary representations, a surface is described by a polygonal mesh, i.e. a finite subdivision composed of vertices, edges and faces. In multiresolution representations, the surface is no longer defined by a single mesh, but by a sequence of nested meshes along with a number of rules for passing from one to another of these meshes.
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