4 citations · 8 across the 7 of their papers we have counts for
7 papers
The Metric Completion of the Space of Vector-Valued One-Forms
Nicola Cavallucci, Zhe Su
The space of full-ranked one-forms on a smooth, orientable, compact manifold (possibly with boundary) is metrically incomplete with respect to the induced geodesic distance of the…
Integrated Construction of Multimodal Atlases with Structural Connectomes in the Space of Riemannian Metrics
Kristen M. Campbell, Haocheng Dai, Zhe Su +3
The structural network of the brain, or structural connectome, can be represented by fiber bundles generated by a variety of tractography methods. While such methods give qualitati…
Structural Connectome Atlas Construction in the Space of Riemannian Metrics
Kristen M. Campbell, Haocheng Dai, Zhe Su +3
The structural connectome is often represented by fiber bundles generated from various types of tractography. We propose a method of analyzing connectomes by representing them as a…
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…
A diffeomorphism-invariant metric on the space of vector-valued one-forms
Martin Bauer, Eric Klassen, Stephen C. Preston +1
In this article we introduce a diffeomorphism-invariant Riemannian metric on the space of vector valued one-forms. The particular choice of metric is motivated by potential future…
Comparing Curves in Homogeneous Spaces
Zhe Su, Eric Klassen, Martin Bauer
Of concern is the study of the space of curves in homogeneous spaces. Motivated by applications in shape analysis we identify two curves if they only differ by their parametrizatio…
The Square Root Velocity Framework for Curves in a Homogeneous Space
Zhe Su, Eric Klassen, Martin Bauer
In this paper we study the shape space of curves with values in a homogeneous space , where is a Lie group and is a compact Lie subgroup. We generalize the square…