Defining a mean on Lie groups
暂无分享,去创建一个
[1] M. Fréchet. Les éléments aléatoires de nature quelconque dans un espace distancié , 1948 .
[2] Fonctions convexes et semimartingales dans une variété , 1984 .
[3] Geometrie des groupes oscillateurs et varietes lo- calement symetriques . , 2002 .
[4] D'arcy W. Thompson,et al. On Growth and Form , 1917, Nature.
[5] Max Neunhöffer,et al. LIE Λ-ALGEBRAS , 2009 .
[6] J. Hilgert. A Connected Lie Group Equals the Square of the Exponential Image , 2003 .
[7] M. Émery,et al. Sur le barycentre d'une probabilité dans une variété , 1991 .
[8] Michael I. Miller,et al. Group Actions, Homeomorphisms, and Matching: A General Framework , 2004, International Journal of Computer Vision.
[9] M. Wüstner. A Connected Lie Group Equals the Square of the Exponential Image , 2002 .
[10] Willi Jäger,et al. Uniqueness and stability of harmonic maps and their Jacobi fields , 1979 .
[11] H. Le,et al. Locating Fréchet means with application to shape spaces , 2001, Advances in Applied Probability.
[12] I. Holopainen. Riemannian Geometry , 1927, Nature.
[13] Alberto Medina,et al. Algèbres de Lie et produit scalaire invariant , 1985 .
[14] W. Kendall. Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence , 1990 .
[15] Vincent Arsigny,et al. Processing Data in Lie Groups : An Algebraic Approach. Application to Non-Linear Registration and Diffusion Tensor MRI. (Traitement de données dans les groupes de Lie : une approche algébrique. Application au recalage non-linéaire et à l'imagerie du tenseur de diffusion) , 2006 .
[16] Xavier Pennec,et al. Statistical Computing on Manifolds for Computational Anatomy , 2006 .
[17] Pierre Colmez. Éléments d'analyse et d'algèbre : et de théorie des nombres , 2010 .
[18] Marc Arnaudon,et al. Barycenters of measures transported by stochastic flows , 2005 .
[19] Ulf Grenander,et al. General Pattern Theory: A Mathematical Study of Regular Structures , 1993 .
[20] L. Younes. Shapes and Diffeomorphisms , 2010 .
[21] K. Conrad,et al. Group Actions , 2018, Cyber Litigation: The Legal Principles.
[22] H. Le,et al. Estimation of Riemannian Barycentres , 2004 .
[23] J. Craggs. Applied Mathematical Sciences , 1973 .
[24] V. Arsigny,et al. Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups , 2013 .
[25] M. Postnikov,et al. Geometry VI: Riemannian Geometry , 2001 .
[26] H. Karcher. Riemannian center of mass and mollifier smoothing , 1977 .
[27] Xavier Pennec. L'incertitude dans les problèmes de reconnaissance et de recalage - Applications en imagerie médicale et biologie moléculaire , 1996 .
[28] Alberto Medina. Groupes de Lie munis de métriques bi-invariantes , 1985 .
[29] Xavier Pennec,et al. Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements , 2006, Journal of Mathematical Imaging and Vision.