# Linearised Euclidean Shortening Flow of Curve Geometry

@article{Salden2004LinearisedES, title={Linearised Euclidean Shortening Flow of Curve Geometry}, author={Alfons H. Salden and Bart M. ter Haar Romeny and Max A. Viergever}, journal={International Journal of Computer Vision}, year={2004}, volume={34}, pages={29-67} }

The geometry of a space curve is described in terms of a Euclidean invariant frame field, metric, connection, torsion and curvature. Here the torsion and curvature of the connection quantify the curve geometry. In order to retain a stable and reproducible description of that geometry, such that it is slightly affected by non-uniform protrusions of the curve, a linearised Euclidean shortening flow is proposed. (Semi)-discretised versions of the flow subsequently physically realise a concise and…

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