7 citations · 24 across the 10 of their papers we have counts for
13 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…
Intrinsic Riemannian metrics on spaces of curves: theory and computation
Martin Bauer, Nicolas Charon, Eric Klassen +1
This chapter reviews some past and recent developments in shape comparison and analysis of curves based on the computation of intrinsic Riemannian metrics on the space of curves mo…
Shape Analysis of Surfaces Using General Elastic Metrics
Zhe Su, Martin Bauer, Stephen C. Preston +2
In this article we introduce a family of elastic metrics on the space of parametrized surfaces in 3D space using a corresponding family of metrics on the space of vector valued one…
Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics
Martin Bauer, Cy Maor
The group of diffeomorphisms of a closed manifold is naturally equipped with various right-invariant Sobolev norms . Recent work s…
Geodesic completeness of the metric on
Martin Bauer, Boris Kolev, Stephen Preston
Of concern is the study of the long-time existence of solutions to the Euler--Arnold equation of the right-invariant -metric on the diffeomorphism group of the circle. In…
Inexact elastic shape matching in the square root normal field framework
Martin Bauer, Nicolas Charon, Philipp Harms
This paper puts forth a new formulation and algorithm for the elastic matching problem on unparametrized curves and surfaces. Our approach combines the frameworks of square root no…