Abstract: Multiresolution representations of 3D surfaces make it possible to concentrate the efforts of a modification at the appropriate level of detail. This paper introduces a multiresolution representation for point-set surfaces. At each level, the point set is smoothed and downsampled, and the geometric details are encoded along the smoothed surface normal. The resulting structure is only slightly larger than the original point set and allows to reconstruct it precisely. We demonstrate how it can be used for surface deformation and for frequency band scaling.