Sobolev Gradients for the Möbius Energy

05/15/2020

∙

by   Philipp Reiter, et al.

∙

0

∙

share

Aiming at optimizing the shape of closed embedded curves within prescribed isotopy classes, we use a gradient-based approach to approximate stationary points of the Möbius energy. The gradients are computed with respect to Sobolev inner products similar to the W^3/2,2-inner product. This leads to optimization methods that are significantly more efficient and robust than standard techniques based on L^2-gradients.