A bridge between Geometric Measure and Discrete Surface Theories – GeMfaceT
This project positions at the interface between geometric measure and discrete surface theories. There has recently been a growing interest in non-smooth structures, both from theoretical point of view, where singularities occur in famous optimization problems such as Plateau problem or geometric flows such as mean curvature flow, and applied point of view where complex high dimensional data are no longer assumed to lie on a smooth manifold but are more singular and allow crossings, tree-structures and dimension variations. We propose in this project to strengthen and expand the use of geometric measure concepts in discrete surface study and complex data modelling and also, to use those possible singular disrcete surfaces to compute numerical solutions to the aforementioned problems.
Madame Blanche Buet (Laboratoire de mathématiques d'Orsay)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
LMO Laboratoire de mathématiques d'Orsay
Help of the ANR 187,600 euros
Beginning and duration of the scientific project: September 2021 - 48 Months