The Fréchet mean shape and the shape of the means

By Huiling Le, A. Kume. Advances in Applied Probability, 2000

61 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f5904192b09eb05b128b9560747b63c77d3a345b

How researchers see this paper

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

In Geometry and Topology

1. Jingyong Su
2. Anuj Srivastava
3. Sudeep Sarkar
4. Fillipe D. M. de Souza
5. Sebastian N. Kurtek
6. Eric Klassen
7. Boulbaba Ben Amor
8. C. Klingenberg

Citations in the corpus

• Rate-Invariant Analysis of Trajectories on Riemannian Manifolds with Application in Visual Speech Recognition (2014, methodology): “The standard algorithm to compute the Karcher mean in [8] [15] is adapted to this problem as follows: Algorithm 1 Karcher mean of multiple trajectories: Compute the Karcher mean of {α i (0)}s and set it to be µ(0).”
• Statistical analysis of trajectories on Riemannian manifolds: Bird migration, hurricane tracking and video surveillance (2014, methodology): “The standard algorithm to compute the Karcher mean proposed by Le and Kume (2000) is adapted to this problem as follows: ALGORITHM 1 (Karcher mean of multiple trajectories).”