81 citations · 344 across the 24 of their papers we have counts for
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Metrics with prescribed horizontal bundle on spaces of curve
Martin Bauer, Philipp Harms
We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics on th…
Hörmander's condition for normal bundles on spaces of immersions
Martin Bauer, Philipp Harms
Several representations of geometric shapes involve quotients of mapping spaces. The projection onto the quotient space defines two sub-bundles of the tangent bundle, called the ho…
Second order elastic metrics on the shape space of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Second order Sobolev metrics on the space of regular unparametrized planar curves have several desirable completeness properties not present in lower order metrics, but numerics ar…
Curve Matching with Applications in Medical Imaging
Martin Bauer, Martins Bruveris, Philipp Harms +1
In the recent years, Riemannian shape analysis of curves and surfaces has found several applications in medical image analysis. In this paper we present a numerical discretization…