The geometry of generalized flat ribbons
 
 
Description:  In this talk we will be studying the problem of approximating -- locally along a curve -- a given surface S in three-space by a developable (i.e., flat) one. Naturally, we will consider tangent approximations, where the approximating strip-shaped surface, or ribbon, has the same distribution of tangent planes as S along the given curve. On this basis, we will discuss a novel approach towards surface approximation and discretization. Such approach, which may be considered an alternative to the widely used method of triangulation, is based on the idea of using multiple local approximations to recover the topology of the original surface. We will also look at natural generalizations of the local approximation problem to arbitrary dimension and codimension.
Date:  2019-06-12
Start Time:   15:00
Speaker:  Matteo Raffaelli (CMUC)
Institution:  CMUC, University of Coimbra
Place:  Sala 2.4
Research Groups: -Geometry
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