Silvia Sellán: Developable Surfaces: A case study in discrete differential geometry скачать в хорошем качестве

Silvia Sellán: Developable Surfaces: A case study in discrete differential geometry

Silvia Sellán, University of Toronto Developable Surfaces: A case study in discrete differential geometry Developable surfaces are surfaces that are locally isometric to the two-dimensional plane. Or surfaces with zero Gaussian curvature. Or surfaces with one trivial direction of curvature. Or ruled surfaces that are also C2 differentiable. Or surfaces whose second fundamental form has rank 1 or 0 everywhere. All these definitions are completely equivalent analytically; however, they result in radically different behaviours when discretized. In the talk, we will take a look at many of these possibilities and end by introducing our newest SIGGRAPH paper “Developability of Heightfields via Rank Minimization”.