In this paper, a novel approach to 5 axis NC milling simulation using GPU is presented. Modelling swept volumes (SV) of a milling tool that undergoes a translational and rotational motion is based on the idea behind Gauss maps. The main process is that it 1) transforms the tool shape and the moving direction of the tool from Euclidean space into an unit sphere by means of Gauss function and get...

We present a new theoretical method and experimental results for direct recovery of the curvatures, the principal curvature directions, and the surface itself by explicit integration of the Gauss map. The method does not rely on polygonal approximations, smoothing of the data, or model tting. It is based on the observation that one can recover the surface restoring force from the Gauss map, and...