Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups

By Xavier Pennec, Vincent Arsigny. 2013

56 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Radiology, Nuclear Medicine and Imaging

View Paper: https://www.semanticscholar.org/paper/3b54a86f3e2bc1a19974b8f26b61e273fe82d6fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Xavier Pennec

In Geometry and Topology

1. Xavier Pennec
2. Stephan F. Huckemann
3. Benjamin Eltzner
4. Sarang C. Joshi
5. Miklós Pálfia
6. Yongdo Lim

In Radiology, Nuclear Medicine and Imaging

1. Xavier Pennec

Citations in the corpus

• Barycentric subspace analysis on manifolds (2016, methodology): “However the bi-invariant Cartan-Schouten connection continues to exists, and one can design bi-invariant means using exponential barycenter as proposed by Pennec and Arsigny (2012).”
• Symmetric Diffeomorphic Modeling of Longitudinal Structural MRI (2013, unknown): “…thesumsquareddistancesfromthemeantoallpointsundera Thegeomet-ricmeanisalsoanexponentialbarycenter(PennecandArsigny, 2012),inthesensethatthesignedlogarithmicdiscrepanciesfrom inthesensethatthesignedlogarithmicdiscrepanciesfrom…”