In this talk I will present latest research in digital geometry processing of point-sampled surfaces. After a brief introduction to point-based acquisition and rendering techniques the focus will be on a surface editing and modeling operations of point set surfaces. In particular I will introduce PointShop 3D, an interactive system for point-based surface editing (to be presented at Siggraph 2002). Core concepts include a minimum distortion parameterizing for point clouds a new surface presentation based on local functions, a dynamic resampling strategy and a powerful and versatile editing framework.