Recently point set model is getting increasing research attention in many geometric modeling application areas including computer graphics and CAD/CAM. This thesis presents a novel approach to directly slicing point set model with the focus on making rapid prototyping part out of point set model without making any mesh or surface. Main challenge in handing point set model lies in how to interpret inter-point empty space and implicit quadric surfel(surface element) is used in this research. For a given point, a quadric surface is fitted using the neighboring points, then the point is projected onto the slicing plane along the surfel. Also described in this thesis is how to extract smooth curve(s) out of the 2D point cloud obtained by slicing the 3D point set model.
