Many shapes resulting from important geometric operations in industrial applications such as Minkowski sums or volume swept by a moving object can be seen as the projection of higher dimensional objects. When such a higher dimensional object is a smooth manifold, the boundary of the projected shape can be computed from the critical points of the projection… (More)

Discrete critical values: a general framework for silhouettes computation (full version of the sgp 2009 paper). http://geometrica. saclay.inria.fr/chazal/SGPfull.pdf