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hal-01287636v1  Conference papers
Cecilia Lindig-León, Nathalie Gayraud, Laurent Bougrain, Maureen Clerc. Comparison of Hierarchical and Non-Hierarchical Classification for Motor Imagery Based BCI Systems
The Sixth International Brain-Computer Interfaces Meeting, May 2016, Pacific Groove, United States
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hal-01321142v2  Journal articles
Barbara Gris, Stanley Durrleman​, Alain Trouvé. A sub-Riemannian modular framework for diffeomorphism based analysis of shape ensembles
SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, In press
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hal-01160902v2  Journal articles
Davide Barilari, Luca Rizzi. On Jacobi fields and canonical connection in sub-Riemannian geometry
Archivum Mathematicum, Masarykova Universita, 2017, 53 (2), pp.77-92. ⟨10.5817/AM2017-2-77⟩
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hal-01377408v2  Journal articles
Luca Rizzi, Ulysse Serres. On the cut locus of free, step two Carnot groups
Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145, pp.5341-5357. ⟨10.1090/proc/13658⟩
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hal-01507111v1  Conference papers
Jean-Daniel Boissonnat, Mael Rouxel-Labbé, Mathijs Wintraecken. Anisotropic triangulations via discrete Riemannian Voronoi diagrams
Symposium on Computational Geometry SoCG 2017, Jul 2017, Brisbane, Australia. ⟨10.4230/LIPIcs.SoCG.2017.19⟩
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tel-00265129v1  Theses
Pierre Fillard. Riemannian processing of tensors for diffusion MRI and computational anatomy of the brain.
Human-Computer Interaction [cs.HC]. Université Nice Sophia Antipolis, 2008. English
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hal-02419460v1  Journal articles
Jean-Daniel Boissonnat, Maël Rouxel-Labbé, Mathijs Wintraecken. Anisotropic triangulations via discrete Riemannian Voronoi diagrams
SIAM Journal on Computing, Society for Industrial and Applied Mathematics, 2019
inria-00615579v1  Conference papers
Pierre Fillard, Vincent Arsigny, Xavier Pennec, Nicholas Ayache. Clinical DT-MRI estimation, smoothing and fiber tracking with log-Euclidean metrics
Proceedings of the IEEE International Symposium on Biomedical Imaging (ISBI 2006), 2006, Crystal Gateway Marriott, Arlington, Virginia, USA, United States. pp.786-789, ⟨10.1109/ISBI.2006.1625034⟩
inria-00615694v1  Conference papers
Xavier Pennec, Nicholas Ayache. Randomness and Geometric Features in Computer Vision
IEEE Conf. on Computer Vision and Pattern Recognition (CVPR'96), 1996, San Francisco, Cal, USA, United States. pp.484--491, ⟨10.1109/CVPR.1996.517116⟩
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hal-00804878v1  Reports
Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh. Constructing Intrinsic Delaunay Triangulations of Submanifolds
[Research Report] RR-8273, INRIA. 2013, pp.54
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tel-01122732v1  Theses
Luca Rizzi. The curvature of optimal control problems with applications to sub-Riemannian geometry
Differential Geometry [math.DG]. Scuola Internazionale di Studi Superiori Avanzati (SISSA, Trieste, Italy), 2014. English
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hal-03157992v1  Conference papers
Yann Thanwerdas, Xavier Pennec. Geodesics of the Quotient-Affine Metrics on Full-Rank Correlation Matrices
GSI 2021 - 5th conference on Geometric Science of Information, Jul 2021, Paris, France
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inria-00607611v1  Reports
Yun Zeng, Chaohui Wang, Yang Wang, Xianfeng Gu, Dimitris Samaras et al.  A Generic Local Deformation Model for Shape Registration
[Research Report] RR-7676, INRIA. 2011
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inria-00070743v1  Reports
Xavier Pennec, Pierre Fillard, Nicholas Ayache. A Riemannian Framework for Tensor Computing
RR-5255, INRIA. 2004, pp.34
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inria-00070400v1  Reports
Pierre Fillard, Vincent Arsigny, Xavier Pennec, Nicholas Ayache. Joint Estimation and Smoothing of Clinical DT-MRI with a Log-Euclidean Metric
[Research Report] RR-5607, INRIA. 2005, pp.18
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inria-00071383v1  Reports
Vincent Arsigny, Xavier Pennec, Nicholas Ayache. Bi-invariant Means in Lie Groups. Application to Left-invariant Polyaffine Transformations
[Research Report] RR-5885, INRIA. 2006
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inria-00073318v1  Reports
Xavier Pennec. Computing the Mean of Geometric Features Application to the Mean Rotation
RR-3371, INRIA. 1998
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inria-00071490v1  Reports
Xavier Pennec. Probabilities and Statistics on Riemannian Manifolds : A Geometric approach
RR-5093, INRIA. 2004
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hal-01846433v1  Journal articles
Fabien Lotte, Laurent Bougrain, Andrzej Cichocki, Maureen Clerc, Marco Congedo et al.  A Review of Classification Algorithms for EEG-based Brain-Computer Interfaces: A 10-year Update
Journal of Neural Engineering, IOP Publishing, 2018, 15 (3), pp.55. ⟨10.1088/1741-2552/aab2f2⟩
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hal-01182728v1  Conference papers
Florian Yger, Fabien Lotte, Masashi Sugiyama. Averaging Covariance Matrices for EEG Signal Classification based on the CSP: an Empirical Study
EUSIPCO 2015, Aug 2015, Nice, France
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inria-00070183v1  Reports
Christophe Lenglet, Mikaël Rousson, Rachid Deriche. DTI Segmentation by Statistical Surface Evolution
[Research Report] RR-5843, INRIA. 2006, pp.45
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tel-00121162v1  Theses
Vincent Arsigny. Processing Data in Lie Groups : An Algebraic Approach. Application to Non-Linear Registration and Diffusion Tensor MRI
Human-Computer Interaction [cs.HC]. Ecole Polytechnique X, 2006. English
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inria-00113372v2  Reports
Monique Chyba, Ernst Hairer, Gilles Vilmart. Symplectic integrators in sub-Riemannian geometry: the Martinet case
[Research Report] RR-6017, INRIA. 2006, pp.10
inria-00502688v1  Conference papers
Pierre Fillard, Vincent Arsigny, Xavier Pennec, Paul M. Thompson, Nicholas Ayache. Extrapolation of sparse tensor fields: application to the modeling of brain variability.
International Conference on Information Processing in Medical Imaging, Jul 2005, Glenwood Springs, CO, United States. pp.27-38, ⟨10.1007/11505730_3⟩
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pastel-00878567v1  Theses
Dario Prandi. Geometry and analysis of control-affine systems: motion planning, heat and Schrödinger evolution
Optimization and Control [math.OC]. Ecole Polytechnique X, 2013. English
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tel-00633163v1  Habilitation à diriger des recherches
Xavier Pennec. Statistical Computing on Manifolds for Computational Anatomy
Computer Science [cs]. Université Nice Sophia Antipolis, 2006
inria-00502675v1  Conference papers
Xavier Pennec, R. Stefanescu, V. Arsigny, Pierre Fillard, Nicholas Ayache. Riemannian elasticity: a statistical regularization framework for non-linear registration.
International Conference on Medical Image computing and Computer-Assisted Intervention, Oct 2005, Palm Springs, CA, United States. pp.943-50, ⟨10.1007/11566489_116⟩
inria-00615994v1  Conference papers
Pierre Fillard, Vincent Arsigny, Nicholas Ayache, Xavier Pennec. A Riemannian Framework for the Processing of Tensor-Valued Images
Deep Structure, Singularities, and Computer Vision (DSSCV), 2005, no address, Netherlands. pp.112--123, ⟨10.1007/11577812_10⟩
inria-00615601v1  Conference papers
Antoine Azar, Chenyang Xu, Xavier Pennec, Nicholas Ayache. An interactive Intensity- and Feature-Based Non-Rigid Registration Framework for 3D Medical Images
Proceedings of the IEEE International Symposium on Biomedical Imaging (ISBI 2006), 2006, Crystal Gateway Marriott, Arlington, Virginia, USA, United States. pp.824--827, ⟨10.1109/ISBI.2006.1625045⟩