Section: Overall Objectives
Our overall objectives are to increase precision of shape modeling and processing, and more fundamentally to study mathematical and computational aspects of curves and surfaces. We thus propose to construct a new system of continuity theories, called floating-point continuities, to bridge the gap between the traditional mathematics and modern computer science. Based on the floating-point continuities and epsilon-geometry continuities approaches introduced in our recent publications, we reconsider several key geometric modeling operators.
Note that we also proposed some contributions in Computer Graphics with some Master students and with two young Tsinghua researchers, who prepared a Ph D (Weiming Dong) or a Post Doc (Bin Wang) at INRIA with us.