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Author ID: pennec.xavier Recent zbMATH articles by "Pennec, Xavier"
Published as: Pennec, Xavier; Pennec, X.
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 528 times in 386 Documents Cited by Year
A Riemannian framework for tensor computing. Zbl 1287.53031
Pennec, Xavier; Fillard, Pierre; Ayache, Nicholas
160
2006
Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements. Zbl 1478.94072
Pennec, Xavier
92
2006
Geometric means in a novel vector space structure on symmetric positive-definite matrices. Zbl 1144.47015
Arsigny, Vincent; Fillard, Pierre; Pennec, Xavier; Ayache, Nicholas
90
2007
Barycentric subspace analysis on manifolds. Zbl 1410.60018
Pennec, Xavier
18
2018
Geodesics, parallel transport & one-parameter subgroups for diffeomorphic image registration. Zbl 1304.92076
Lorenzi, Marco; Pennec, Xavier
15
2013
Geomstats: a Python package for Riemannian geometry in machine learning. Zbl 07307485
Miolane, Nina; Guigui, Nicolas; Le Brigant, Alice; Mathe, Johan; Hou, Benjamin; Thanwerdas, Yann; Heyder, Stefan; Peltre, Olivier; Koep, Niklas; Zaatiti, Hadi; Hajri, Hatem; Cabanes, Yann; Gerald, Thomas; Chauchat, Paul; Shewmake, Christian; Brooks, Daniel; Kainz, Bernhard; Donnat, Claire; Holmes, Susan; Pennec, Xavier
12
2020
Uniform distribution, distance and expectation problems for geometric features processing. Zbl 0906.68198
Pennec, Xavier; Ayache, Nicholas
10
1998
Iconic feature based nonrigid registration: The PASHA algorithm. Zbl 1055.68157
Cachier, Pascal; Bardinet, Eric; Dormont, Didier; Pennec, Xavier; Ayache, Nicholas
10
2003
Toward a comprehensive framework for the spatiotemporal statistical analysis of longitudinal shape data. Zbl 1270.68345
Durrleman, Stanley; Pennec, Xavier; Trouvé, Alain; Braga, José; Gerig, Guido; Ayache, Nicholas
10
2013
Efficient parallel transport of deformations in time series of images: from Schild’s to pole ladder. Zbl 1312.68227
Lorenzi, Marco; Pennec, Xavier
9
2014
Exponential barycenters of the canonical Cartan connection and invariant means on Lie groups. Zbl 1270.53078
Pennec, Xavier; Arsigny, Vincent
9
2013
Higher-order momentum distributions and locally affine LDDMM registration. Zbl 1281.65040
Sommer, Stefan; Nielsen, Mads; Darkner, Sune; Pennec, Xavier
9
2013
Multi-scale EM-ICP: A fast and robust approach for surface registration. Zbl 1039.68642
Granger, S.; Pennec, X.
8
2002
Riemannian geometric statistics in medical image analysis. Zbl 1428.92004
8
2020
Sparse multi-scale diffeomorphic registration: the kernel bundle framework. Zbl 1343.49052
Sommer, Stefan; Lauze, François; Nielsen, Mads; Pennec, Xavier
7
2013
Multisubject non-rigid registration of brain MRI using intensity and geometric features. Zbl 1041.68578
Cachier, Pascal; Mangin, Jean-François; Pennec, Xavier; Rivière, Denis; Papadopoulos-Orfanos, Dimitri; Régis, Jean; Ayache, Nicholas
5
2001
Manifold-valued image processing with SPD matrices. Zbl 1453.62560
Pennec, Xavier
5
2020
Sample-limited \(L_p\) barycentric subspace analysis on constant curvature spaces. Zbl 1418.62246
Pennec, Xavier
4
2017
Template estimation in computational anatomy: Fréchet means top and quotient spaces are not consistent. Zbl 1423.94006
Devilliers, Loïc; Allassonnière, Stéphanie; Trouvé, Alain; Pennec, Xavier
4
2017
Template shape estimation: correcting an asymptotic bias. Zbl 1403.62128
Miolane, Nina; Holmes, Susan; Pennec, Xavier
4
2017
Is affine-invariance well defined on SPD matrices? A principled continuum of metrics. Zbl 1458.53016
Thanwerdas, Yann; Pennec, Xavier
4
2019
Parallel transport with Pole ladder: application to deformations of time series of images. Zbl 1350.94012
Marco, Lorenzi; Pennec, Xavier
3
2013
Barycentric subspaces and affine spans in manifolds. Zbl 1376.94017
Pennec, Xavier
3
2015
Biased estimators on quotient spaces. Zbl 1396.62103
Miolane, Nina; Pennec, Xavier
3
2015
Rigid point-surface registration using an EM variant of ICP for computer guided oral implantology. Zbl 1041.68615
Granger, Sébastien; Pennec, Xavier; Roche, Alexis
3
2001
Exploration of balanced metrics on symmetric positive definite matrices. Zbl 1458.53023
Thanwerdas, Yann; Pennec, Xavier
3
2019
Beyond Riemannian geometry. The affine connection setting for transformation groups. Zbl 1453.92170
Pennec, Xavier; Lorenzi, Marco
3
2020
Bi-invariant means on Lie groups with Cartan-Schouten connections. Zbl 1350.22008
Pennec, Xavier
2
2013
Geodesics and curvature of the quotient-affine metrics on full-rank correlation matrices. Zbl 07495206
Thanwerdas, Yann; Pennec, Xavier
2
2021
Symmetric algorithmic components for shape analysis with diffeomorphisms. Zbl 1458.94033
Guigui, Nicolas; Jia, Shuman; Sermesant, Maxime; Pennec, Xavier
2
2019
Random spatial structure of geometric deformations and Bayesian nonparametrics. Zbl 1405.92140
Seiler, Christof; Pennec, Xavier; Holmes, Susan
1
2013
Robust registration of multi-modal images: Towards real-time clinical applications. Zbl 1027.68907
Ourselin, Sébastien; Stefanescu, Radu; Pennec, Xavier
1
2002
Improved detection sensitivity in functional MRI data using a brain parcelling technique. Zbl 1028.68741
Flandin, Guillaume; Kherif, Ferath; Pennec, Xavier; Malandain, Grégoire; Ayache, Nicholas; Poline, Jean-Baptiste
1
2002
Biomechanical model construction from different modalities: Application to cardiac images. Zbl 1028.68882
Sermesant, M.; Forest, C.; Pennec, X.; Delingette, H.; Ayache, N.
1
2002
A fast and log-Euclidean polyaffine framework for locally linear registration. Zbl 05537290
Arsigny, Vincent; Commowick, Olivier; Ayache, Nicholas; Pennec, Xavier
1
2009
A reduced parallel transport equation on Lie groups with a left-invariant metric. Zbl 1490.53072
Guigui, Nicolas; Pennec, Xavier
1
2021
\(O(n)\)-invariant Riemannian metrics on SPD matrices. Zbl 1507.15020
Thanwerdas, Yann; Pennec, Xavier
1
2023
Numerical accuracy of ladder schemes for parallel transport on manifolds. Zbl 1496.53019
Guigui, Nicolas; Pennec, Xavier
1
2022
Parallel transport, a central tool in geometric statistics for computational anatomy: application to cardiac motion modeling. Zbl 07573610
Guigui, Nicolas; Pennec, Xavier
1
2022
Introduction to differential and Riemannian geometry. Zbl 1456.53002
Sommer, Stefan; Fletcher, Tom; Pennec, Xavier
1
2020
Theoretically and computationally convenient geometries on full-rank correlation matrices. Zbl 1511.53003
Thanwerdas, Yann; Pennec, Xavier
1
2022
\(O(n)\)-invariant Riemannian metrics on SPD matrices. Zbl 1507.15020
Thanwerdas, Yann; Pennec, Xavier
1
2023
Numerical accuracy of ladder schemes for parallel transport on manifolds. Zbl 1496.53019
Guigui, Nicolas; Pennec, Xavier
1
2022
Parallel transport, a central tool in geometric statistics for computational anatomy: application to cardiac motion modeling. Zbl 07573610
Guigui, Nicolas; Pennec, Xavier
1
2022
Theoretically and computationally convenient geometries on full-rank correlation matrices. Zbl 1511.53003
Thanwerdas, Yann; Pennec, Xavier
1
2022
Geodesics and curvature of the quotient-affine metrics on full-rank correlation matrices. Zbl 07495206
Thanwerdas, Yann; Pennec, Xavier
2
2021
A reduced parallel transport equation on Lie groups with a left-invariant metric. Zbl 1490.53072
Guigui, Nicolas; Pennec, Xavier
1
2021
Geomstats: a Python package for Riemannian geometry in machine learning. Zbl 07307485
Miolane, Nina; Guigui, Nicolas; Le Brigant, Alice; Mathe, Johan; Hou, Benjamin; Thanwerdas, Yann; Heyder, Stefan; Peltre, Olivier; Koep, Niklas; Zaatiti, Hadi; Hajri, Hatem; Cabanes, Yann; Gerald, Thomas; Chauchat, Paul; Shewmake, Christian; Brooks, Daniel; Kainz, Bernhard; Donnat, Claire; Holmes, Susan; Pennec, Xavier
12
2020
Riemannian geometric statistics in medical image analysis. Zbl 1428.92004
8
2020
Manifold-valued image processing with SPD matrices. Zbl 1453.62560
Pennec, Xavier
5
2020
Beyond Riemannian geometry. The affine connection setting for transformation groups. Zbl 1453.92170
Pennec, Xavier; Lorenzi, Marco
3
2020
Introduction to differential and Riemannian geometry. Zbl 1456.53002
Sommer, Stefan; Fletcher, Tom; Pennec, Xavier
1
2020
Is affine-invariance well defined on SPD matrices? A principled continuum of metrics. Zbl 1458.53016
Thanwerdas, Yann; Pennec, Xavier
4
2019
Exploration of balanced metrics on symmetric positive definite matrices. Zbl 1458.53023
Thanwerdas, Yann; Pennec, Xavier
3
2019
Symmetric algorithmic components for shape analysis with diffeomorphisms. Zbl 1458.94033
Guigui, Nicolas; Jia, Shuman; Sermesant, Maxime; Pennec, Xavier
2
2019
Barycentric subspace analysis on manifolds. Zbl 1410.60018
Pennec, Xavier
18
2018
Sample-limited \(L_p\) barycentric subspace analysis on constant curvature spaces. Zbl 1418.62246
Pennec, Xavier
4
2017
Template estimation in computational anatomy: Fréchet means top and quotient spaces are not consistent. Zbl 1423.94006
Devilliers, Loïc; Allassonnière, Stéphanie; Trouvé, Alain; Pennec, Xavier
4
2017
Template shape estimation: correcting an asymptotic bias. Zbl 1403.62128
Miolane, Nina; Holmes, Susan; Pennec, Xavier
4
2017
Barycentric subspaces and affine spans in manifolds. Zbl 1376.94017
Pennec, Xavier
3
2015
Biased estimators on quotient spaces. Zbl 1396.62103
Miolane, Nina; Pennec, Xavier
3
2015
Efficient parallel transport of deformations in time series of images: from Schild’s to pole ladder. Zbl 1312.68227
Lorenzi, Marco; Pennec, Xavier
9
2014
Geodesics, parallel transport & one-parameter subgroups for diffeomorphic image registration. Zbl 1304.92076
Lorenzi, Marco; Pennec, Xavier
15
2013
Toward a comprehensive framework for the spatiotemporal statistical analysis of longitudinal shape data. Zbl 1270.68345
Durrleman, Stanley; Pennec, Xavier; Trouvé, Alain; Braga, José; Gerig, Guido; Ayache, Nicholas
10
2013
Exponential barycenters of the canonical Cartan connection and invariant means on Lie groups. Zbl 1270.53078
Pennec, Xavier; Arsigny, Vincent
9
2013
Higher-order momentum distributions and locally affine LDDMM registration. Zbl 1281.65040
Sommer, Stefan; Nielsen, Mads; Darkner, Sune; Pennec, Xavier
9
2013
Sparse multi-scale diffeomorphic registration: the kernel bundle framework. Zbl 1343.49052
Sommer, Stefan; Lauze, François; Nielsen, Mads; Pennec, Xavier
7
2013
Parallel transport with Pole ladder: application to deformations of time series of images. Zbl 1350.94012
Marco, Lorenzi; Pennec, Xavier
3
2013
Bi-invariant means on Lie groups with Cartan-Schouten connections. Zbl 1350.22008
Pennec, Xavier
2
2013
Random spatial structure of geometric deformations and Bayesian nonparametrics. Zbl 1405.92140
Seiler, Christof; Pennec, Xavier; Holmes, Susan
1
2013
A fast and log-Euclidean polyaffine framework for locally linear registration. Zbl 05537290
Arsigny, Vincent; Commowick, Olivier; Ayache, Nicholas; Pennec, Xavier
1
2009
Geometric means in a novel vector space structure on symmetric positive-definite matrices. Zbl 1144.47015
Arsigny, Vincent; Fillard, Pierre; Pennec, Xavier; Ayache, Nicholas
90
2007
A Riemannian framework for tensor computing. Zbl 1287.53031
Pennec, Xavier; Fillard, Pierre; Ayache, Nicholas
160
2006
Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements. Zbl 1478.94072
Pennec, Xavier
92
2006
Iconic feature based nonrigid registration: The PASHA algorithm. Zbl 1055.68157
Cachier, Pascal; Bardinet, Eric; Dormont, Didier; Pennec, Xavier; Ayache, Nicholas
10
2003
Multi-scale EM-ICP: A fast and robust approach for surface registration. Zbl 1039.68642
Granger, S.; Pennec, X.
8
2002
Robust registration of multi-modal images: Towards real-time clinical applications. Zbl 1027.68907
Ourselin, Sébastien; Stefanescu, Radu; Pennec, Xavier
1
2002
Improved detection sensitivity in functional MRI data using a brain parcelling technique. Zbl 1028.68741
Flandin, Guillaume; Kherif, Ferath; Pennec, Xavier; Malandain, Grégoire; Ayache, Nicholas; Poline, Jean-Baptiste
1
2002
Biomechanical model construction from different modalities: Application to cardiac images. Zbl 1028.68882
Sermesant, M.; Forest, C.; Pennec, X.; Delingette, H.; Ayache, N.
1
2002
Multisubject non-rigid registration of brain MRI using intensity and geometric features. Zbl 1041.68578
Cachier, Pascal; Mangin, Jean-François; Pennec, Xavier; Rivière, Denis; Papadopoulos-Orfanos, Dimitri; Régis, Jean; Ayache, Nicholas
5
2001
Rigid point-surface registration using an EM variant of ICP for computer guided oral implantology. Zbl 1041.68615
Granger, Sébastien; Pennec, Xavier; Roche, Alexis
3
2001
Uniform distribution, distance and expectation problems for geometric features processing. Zbl 0906.68198
Pennec, Xavier; Ayache, Nicholas
10
1998
all top 5

Cited by 745 Authors

19 Pennec, Xavier
10 Lim, Yongdo
10 Steidl, Gabriele
8 Bergmann, Ronny
8 Weinmann, Andreas
7 Durrleman, Stanley
7 Huckemann, Stephan F.
7 Minh, Ha Quang
6 Absil, Pierre-Antoine
6 Pálfia, Miklós
6 Persch, Johannes
6 Sommer, Stefan
5 Allassonnière, Stéphanie
5 Florack, Luc M. J.
5 Lauze, François
5 Lin, Zhenhua
5 Mang, Andreas
5 Müller, Hans-Georg
5 Patrangenaru, Victor
5 Simó, Amelia
5 Trouvé, Alain
4 Ayache, Nicholas
4 Chevallier, Emmanuel
4 Dryden, Ian L.
4 Eltzner, Benjamin
4 Grohs, Philipp
4 Guigui, Nicolas
4 Kim, Sejong
4 Le, Huiling
4 Molnár, Lajos
4 Pigoli, Davide
4 Said, Salem
4 Schwartzman, Armin
4 Storath, Martin
3 Bauer, Martin
3 Bhattacharya, Rabi N.
3 Biros, George
3 Charlier, Benjamin
3 Charon, Nicolas
3 Chau, Joris
3 Darmofal, David L.
3 Duits, Remco
3 Fidkowski, Krzysztof J.
3 Groisser, David
3 Gual-Arnau, Ximo
3 Gur, Yaniv
3 Hardering, Hanne
3 Harms, Philipp
3 Holmes, Susan P.
3 Hotz, Thomas
3 Ibáñez, María Victoria
3 Jacobs, Henry O.
3 Jung, Sungkyu
3 Marzouk, Youssef M.
3 Massart, Estelle M.
3 Mostajeran, Cyrus
3 Nielsen, Mads
3 Sander, Oliver
3 Secchi, Piercesare
3 Sepulchre, Rodolphe J.
3 Sochen, Nir
3 Srivastava, Anuj
3 Thanwerdas, Yann
3 Vemuri, Baba C.
3 von Sachs, Rainer
2 Allmaras, Steven R.
2 Angulo, Jesús
2 Arnaudon, Alexis
2 Astola, Laura
2 Aston, John A. D.
2 Bačák, Miroslav
2 Balmashnova, Evgeniya
2 Berthoumieu, Yannick
2 Bigot, Jéremie
2 Bombrun, Lionel
2 Bonnabel, Silvère
2 Bruveris, Martins
2 Burgeth, Bernhard F.
2 Carson, Hugh A.
2 Chen, Guodong
2 Choi, Hayoung
2 Cipolla, Roberto
2 Collard, Anne
2 Cotter, Colin John
2 Davatzikos, Christos
2 Debroux, Noémie
2 Deriche, Rachid
2 Eldering, Jaap
2 Feragen, Aasa
2 Fiori, Simone
2 Fitschen, Jan Henrik
2 Fujii, Jun Ichi
2 Fuster, Andrea
2 Gadat, Sébastien
2 Galbraith, Marshall C.
2 Gherardi, Riccardo
2 Gousenbourger, Pierre-Yves
2 Gris, Barbara
2 Gzyl, Henryk
2 Hameduddin, Ismail
...and 645 more Authors
all top 5

Cited in 126 Serials

41 Journal of Mathematical Imaging and Vision
25 International Journal of Computer Vision
22 SIAM Journal on Imaging Sciences
19 Linear Algebra and its Applications
13 Pattern Recognition
10 The Annals of Statistics
9 Journal of Computational Physics
7 Electronic Journal of Statistics
6 SIAM Journal on Matrix Analysis and Applications
6 SIAM Journal on Scientific Computing
6 Foundations of Computational Mathematics
5 Journal of Multivariate Analysis
4 Journal of Mathematical Analysis and Applications
4 Linear and Multilinear Algebra
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Numerical Analysis
4 Oberwolfach Reports
4 The Annals of Applied Statistics
3 Journal of Fluid Mechanics
3 Applied Mathematics and Computation
3 Journal of the American Statistical Association
3 Differential Geometry and its Applications
3 SIAM Journal on Optimization
3 Bernoulli
3 Journal of Applied Statistics
3 Journal of Machine Learning Research (JMLR)
3 Multiscale Modeling & Simulation
3 Information Geometry
2 Letters in Mathematical Physics
2 Advances in Mathematics
2 Applied Mathematics and Optimization
2 Biometrics
2 Bulletin of the London Mathematical Society
2 Journal of Statistical Planning and Inference
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Neural Networks
2 The Annals of Applied Probability
2 Communications in Statistics. Theory and Methods
2 Computational Statistics and Data Analysis
2 Advances in Computational Mathematics
2 Advances in Data Analysis and Classification. ADAC
2 Computational & Mathematical Methods in Medicine
2 Journal of Geometric Mechanics
2 Journal of Computational and Graphical Statistics
2 Information and Inference
2 Journal of Applied Mathematics, Statistics and Informatics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 The Canadian Journal of Statistics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 Metrika
1 Nuclear Physics. B
1 Scandinavian Journal of Statistics
1 Bulletin of Mathematical Biology
1 Annals of the Institute of Statistical Mathematics
1 Archiv der Mathematik
1 Automatica
1 Biometrical Journal
1 BIT
1 Econometrica
1 Integral Equations and Operator Theory
1 International Journal for Numerical Methods in Engineering
1 International Statistical Review
1 Journal of Applied Probability
1 Journal of Econometrics
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematics of Operations Research
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Ergodic Theory and Dynamical Systems
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Circuits, Systems, and Signal Processing
1 Computer Aided Geometric Design
1 Journal of Classification
1 Physica D
1 Statistical Science
1 Computational Mechanics
1 International Journal of Approximate Reasoning
1 Journal of Theoretical Probability
1 Forum Mathematicum
1 Multidimensional Systems and Signal Processing
1 Machine Learning
1 Neural Computation
1 Journal of Global Optimization
1 Communications in Statistics. Simulation and Computation
1 Elemente der Mathematik
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 Journal of Nonlinear Science
1 Test
1 Numerical Linear Algebra with Applications
1 Turkish Journal of Mathematics
...and 26 more Serials
all top 5

Cited in 43 Fields

133 Statistics (62-XX)
105 Computer science (68-XX)
87 Numerical analysis (65-XX)
85 Differential geometry (53-XX)
56 Information and communication theory, circuits (94-XX)
42 Biology and other natural sciences (92-XX)
41 Linear and multilinear algebra; matrix theory (15-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
37 Probability theory and stochastic processes (60-XX)
33 Operator theory (47-XX)
28 Global analysis, analysis on manifolds (58-XX)
24 Operations research, mathematical programming (90-XX)
16 Fluid mechanics (76-XX)
15 Topological groups, Lie groups (22-XX)
14 Partial differential equations (35-XX)
10 Dynamical systems and ergodic theory (37-XX)
8 Real functions (26-XX)
7 Functional analysis (46-XX)
6 Algebraic geometry (14-XX)
6 Measure and integration (28-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Mechanics of deformable solids (74-XX)
6 Systems theory; control (93-XX)
5 General and overarching topics; collections (00-XX)
5 Manifolds and cell complexes (57-XX)
4 Mechanics of particles and systems (70-XX)
3 Group theory and generalizations (20-XX)
3 Ordinary differential equations (34-XX)
3 General topology (54-XX)
2 Functions of a complex variable (30-XX)
2 Approximations and expansions (41-XX)
2 Quantum theory (81-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year