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Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

✍ Scribed by Arsigny, Vincent; Fillard, Pierre; Pennec, Xavier; Ayache, Nicholas

Book ID
123615644
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
261 KB
Volume
29
Category
Article
ISSN
0895-4798

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✍ Moakher, Maher 📂 Article 📅 2005 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 204 KB

In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean. The mean associated with the Riemannian metric corresponds to the geometric mean. We discuss some invariance pro