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A Converging Discrete Geometric Calculus on the Space of Curves

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If you have a question about this talk, please contact Carola-Bibiane Schoenlieb .

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.

This talk is part of the Applied and Computational Analysis series.

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