Applied and Computational Analysis Seminars
A Converging Discrete Geometric Calculus on the Space of Curves
With Martin Rumpf (Universität Bonn)
A Converging Discrete Geometric Calculus on the Space of Curves
The talk will take into account the space of curves as a Riemannian manifold with a metric, measuring the squared $L^2$ norm
of arc length derivatives of curve variations. Based on a suitable time discretization it will be described how to interpolate pairs of curves, smoothly extrapolate paths in this space, and how to approximate the associated covariant derivative as well as the curvature tensor. The convergence of the discrete calculus to the corresponding continuous calculus will be demonstrated.
- Speaker: Martin Rumpf (Universität Bonn)
- Thursday 23 May 2024, 15:00–16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Carola-Bibiane Schoenlieb.
