Discrete Curvature

Theory and Applications


A colloquium on discrete curvature

Geometric aspects of the space of triangulations

Pooran Memari

Slides are available by following the link.

In this talk, we study the space of triangulations from a purely geometric point of view. In particular, we will see how triangulations could be related to distributions in different manners, using different frameworks such as Discrete Exterior Calculus, some well-known computational geometry notions or even more classical algebraic geometry tools. It is quite surprising to see that in almost all of these frameworks, the notion of regular triangulations arises naturally. We discuss some applications in mesh optimization and simplification.

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