Approximating Sets of Symmetric and Positive-Definite Matrices by Geodesics-Reference-Cited by-同舟云学术

Approximating Sets of Symmetric and Positive-Definite Matrices by Geodesics

Published:2013-08-26 Issue: Volume:2013 Page:1-7
ISSN:2314-4777
Container-title:Conference Papers in Mathematics
language:en
Short-container-title:Conference Papers in Mathematics

Author:

Machado L.¹²,Leite F. Silva¹³

Affiliation:

1. Institute of Systems and Robotics, University of Coimbra, Pólo II, Pinhal de Marrocos, 3030-290 Coimbra, Portugal

2. Department of Mathematics, University of Trás-os-Montes and Alto Douro, Apartado 1013, 5001-801 Vila Real, Portugal

3. Department of Mathematics, University of Coimbra, Largo D. Dinis, 3001-454 Coimbra, Portugal

Abstract

We formulate a generalized version of the classical linear regression problem on Riemannian manifolds and derive the counterpart to the normal equations for the manifold of symmetric and positive definite matrices, equipped with the only metric that is invariant under the natural action of the general linear group.

Funder

Fundação para a Ciência e a Tecnologia

Publisher

Hindawi Limited

Subject

General Medicine

Link

http://downloads.hindawi.com/archive/2013/425608.pdf

Reference19 articles.

1. Clinical DT-MRI Estimation, Smoothing, and Fiber Tracking With Log-Euclidean Metrics

2. On the Averaging of Symmetric Positive-Definite Tensors

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