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Foundations of Geometric Statistics and Their Application in the Life Sciences

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Publications

Advances in Geometric Statistics for Manifold Dimension Reduction

Author(s): Xavier Pennec
Published in: Handbook of Variational Methods for Nonlinear Geometric Data, 2020, Page(s) 339-359
DOI: 10.1007/978-3-030-31351-7_11

Beyond Riemannian geometry: The affine connection setting for transformation groups

Author(s): Pennec, Xavier; Lorenzi, Marco
Published in: Riemannian Geometric Statistics in Medical Image Analysis, 2021, Page(s) pp.169-229
DOI: 10.1016/b978-0-12-814725-2.00012-1

Manifold-valued image processing with SPD matrices

Author(s): Xavier Pennec
Published in: Riemannian Geometric Statistics in Medical Image Analysis, 2020, Page(s) 75-134
DOI: 10.1016/B978-0-12-814725-2.00010-8

A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions

Author(s): Emmanuel Chevallier, Nicolas Guigui
Published in: Entropy, Issue 22/4, 2020, Page(s) 432, ISSN 1099-4300
DOI: 10.3390/e22040432

Voxel-based assessments of treatment effects on longitudinal brain changes in the Multidomain Alzheimer Preventive Trial cohort

Author(s): Raphaël Sivera, Nicolas Capet, Valeria Manera, Roxane Fabre, Marco Lorenzi, Hervé Delingette, Xavier Pennec, Nicholas Ayache, Philippe Robert
Published in: Neurobiology of Aging, Issue 94, 2020, Page(s) 50-59, ISSN 0197-4580
DOI: 10.1016/j.neurobiolaging.2019.11.020

Cardiac Motion Modeling with Parallel Transport and Shape Splines

Author(s): Nicolas Guigui, Pamela Moceri, Maxime Sermesant, Xavier Pennec
Published in: Proc of International Symposium on Biological Imaging, Nice, France, April 2021, 2021

Exploration of Balanced Metrics on Symmetric Positive Definite Matrices

Author(s): Yann Thanwerdas, Xavier Pennec
Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 484-493
DOI: 10.1007/978-3-030-26980-7_50

Symmetric Algorithmic Components for Shape Analysis with Diffeomorphisms

Author(s): Nicolas Guigui, Shuman Jia, Maxime Sermesant, Xavier Pennec
Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 759-768
DOI: 10.1007/978-3-030-26980-7_79

Is Affine-Invariance Well Defined on SPD Matrices? A Principled Continuum of Metrics

Author(s): Yann Thanwerdas, Xavier Pennec
Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 502-510
DOI: 10.1007/978-3-030-26980-7_52

Riemannian Geometric Statistics in Medical Image Analysis

Author(s): Xavier Pennec, Stefan Sommer, Tom Fletcher
Published in: 2020
DOI: 10.1016/C2017-0-01561-6

Multimodal Brain Image Analysis and Mathematical Foundations of Computational Anatomy - 4th International Workshop, MBIA 2019, and 7th International Workshop, MFCA 2019, Held in Conjunction with MICCAI 2019, Shenzhen, China, October 17, 2019, Proceedings

Author(s): Dajiang Zhu, Jingwen Yan, Heng Huang, Li Shen, Paul M. Thompson, Carl-Fredrik Westin, Xavier Pennec, Sarang Joshi, Mads Nielsen, Tom Fletcher, Stanley Durrleman, Stefan Sommer
Published in: Lecture Notes in Computer Science (LNCS), Issue 11846, 2019
DOI: 10.1007/978-3-030-33226-6