Study on topological deformation of point-sampled surfaces

A novel method integrates the topological flexibility of the level-set approach and the simplicity of point-sampled surfaces in this paper. The grid structure resulted from the level-set approach not only offers a wide range of powerful surface editing techniques for the point set surface editing, but also facilitates the topology change with ease. With the aid of point-based re-sampling, the method quickly updates the surface shape of the point-based geometry without worrying about point connectivity at all. The point set surface can also change its topology properly whenever a collision with other parts of itself is detected. The experiment demonstrates their effectiveness on several scanned objects and scan-converted models. Four examples of surface editing operation is presented: smoothing, tapering, deforming, Boolean operation.