Shape editing of point-sampled surface

3D-scanning devices, such as laser-range scanners and structured light scanners, have been major sampling tools for acquiring digital 3D shapes of a complex surface however, surface editing and deformation types is still quite limited. In this paper we propose a novel point based geometry representation that is designed for the purpose of manipulation and global free-form deformation over region of interest across the entire point-set surface. We extend the surface representation from a single-scale representation to a multi-scale representation using the concept of scale-space. Multi-scale surface representation provides a set of surface approximations at different levels of smoothness. This allows the user to manipulate a model in a flexible and intuitive way without worrying about whether or not the surface detail is properly affected. We use a fairing operator to generate successively smoother approximation levels of a given input surface , and encode each level relative to the next smoother level using normal displacements to ensure intuitive detail preservation. The experiment demonstrates their effectiveness on surface deformation.