Patent Document ID: 20090055136
Application ID: 12181252
Patent Status: 0

Claim One:
1. A method for detecting and quantifying envelope singularities, the method comprising: defining a solid shape having a motion; sampling a set of points in a space in which the motion of the solid shape occurs; determining, for each point in the set of points, values of: an inverted motion of the motion; one or more inverted trajectories that correspond to points of the space associated with the inverted motion; one or more intersections between the inverted trajectories and a boundary defined by the motion of the solid shape; and one or more tangencies between the inverted trajectories and the boundary; and classifying each point in the set of points as a function of values of the intersections and tangencies, each classification being one of a set of classifications including an interior fold point, a fold boundary point, a regular point, a sweep boundary point, or a point exterior to the set swept by the solid shape during the motion.