4 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms
Martin Bauer, Nicolas Charon, Eric Klassen +3
A main goal in the field of statistical shape analysis is to define computable and informative metrics on spaces of immersed manifolds, such as the space of curves in a Euclidean s…
Shape analysis of framed space curves
Tom Needham
In the elastic shape analysis approach to shape matching and object classification, plane curves are represented as points in an infinite-dimensional Riemannian manifold, wherein s…
Simplifying transforms for general elastic metrics on the space of plane curves
Sebastian Kurtek, Tom Needham
In the shape analysis approach to computer vision problems, one treats shapes as points in an infinite-dimensional Riemannian manifold, thereby facilitating algorithms for statisti…
Knot types of generalized Kirchhoff rods
Tom Needham
Kirchhoff energy is a classical functional on the space of arclength-parameterized framed curves whose critical points approximate configurations of springy elastic rods. We introd…