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A differential geometric approach to the geometric mean of symmetric positive-definite matrices

SIAM journal on matrix analysis and applications, 2005, Vol.26 (3), p.735-747

MOAKHER, Maher

2005

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Approximate joint diagonalization and geometric mean of symmetric positive definite matrices

PloS one, 2015-04, Vol.10 (4), p.e0121423-e0121423

2015

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The Riemannian Geometry of the Space of Positive-Definite Matrices and Its Application to the Regularization of Positive-Definite Matrix-Valued Data

Journal of mathematical imaging and vision, 2011-06, Vol.40 (2), p.171-187

2011

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A fast algorithm for solving diagonally dominant symmetric quasi-pentadiagonal Toeplitz linear systems

Journal of mathematical chemistry, 2021-03, Vol.59 (3), p.757-774

2021

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Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising

CSIAM Transactions on Applied Mathematics, 2021-12, Vol.2 (4), p.652-679

2021

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A Nonstandard Higher-Order Variational Model for Speckle Noise Removal and Thin-Structure Detection

Journal of Mathematical Study, 2019-12, Vol.52 (4), p.394-424

2019

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Edge sketches for multi-modal image registration based on Blake–Zisserman type energy

Computational & applied mathematics, 2022-10, Vol.41 (7), Article 315

2022

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A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm

Computational & applied mathematics, 2021-04, Vol.40 (3), Article 70

2021

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A Nash-game approach to joint image restoration and segmentation

Applied mathematical modelling, 2014-06, Vol.38 (11-12), p.3038-3053

2014

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Means of Hermitian positive-definite matrices based on the log-determinant α-divergence function

Linear algebra and its applications, 2012-04, Vol.436 (7), p.1872-1889

2012

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Means and averaging in the group of rotations

SIAM journal on matrix analysis and applications, 2003, Vol.24 (1), p.1-16

MOAKHER, Maher

2003

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Experimentally validated computations of flow, mixing and segregation of non-cohesive grains in 3D tumbling blenders

Powder technology, 2000-01, Vol.109 (1), p.58-71

2000

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Symmetric Positive-Definite Matrices: From Geometry to Applications and Visualization

Visualization and Processing of Tensor Fields, p.285-298

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Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means

Linear algebra and its applications, 2022-04, Vol.638, p.80-109

2022

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On the Averaging of Symmetric Positive-Definite Tensors

Journal of elasticity, 2006-03, Vol.82 (3), p.273-296

Moakher, Maher

2006

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A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax–Wendroff scheme

Mathematics and computers in simulation, 2021-10, Vol.188, p.77-86

2021

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Unsupervised deep learning for geometric feature detection and multilevel-multimodal image registration

Applied intelligence (Dordrecht, Netherlands), 2024-09, Vol.54 (17-18), p.7878-7896

2024

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Diagonality measures of Hermitian positive-definite matrices with application to the approximate joint diagonalization problem

Linear algebra and its applications, 2017-09, Vol.528, p.290-320

2017

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Stability of elastic rods with self-contact

Computer methods in applied mechanics and engineering, 2014-09, Vol.279, p.227-246

2014

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The derivation of homogenized diffusion kurtosis models for diffusion MRI

Journal of magnetic resonance (1997), 2019-01, Vol.298, p.48-57

2019

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Edge detection from X‐ray tomographic data for geometric image registration

Mathematical methods in the applied sciences, 2023-04, Vol.46 (6), p.6324-6358

2023

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High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems

Nonlinear analysis: real world applications, 2019-06, Vol.47, p.251-271

2019

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The derivation of homogenized diffusion kurtosis models for diffusion MRI

Journal of magnetic resonance (1997), 2018, Vol.298, p.48-57

2018

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Means and Averaging in the Group of Rotations

SIAM journal on matrix analysis and applications, 2002-01, Vol.24 (1), p.1-16

Moakher, Maher

2002

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Fourth-order cartesian tensors: old and new facts, notions and applications

Quarterly journal of mechanics and applied mathematics, 2008-05, Vol.61 (2), p.181-203

Moakher, Maher

2008

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A differential geometric approach to the geometric mean of symmetric positive-definite matrices

Approximate joint diagonalization and geometric mean of symmetric positive definite matrices

The Riemannian Geometry of the Space of Positive-Definite Matrices and Its Application to the Regularization of Positive-Definite Matrix-Valued Data

A fast algorithm for solving diagonally dominant symmetric quasi-pentadiagonal Toeplitz linear systems

Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising

A Nonstandard Higher-Order Variational Model for Speckle Noise Removal and Thin-Structure Detection

Edge sketches for multi-modal image registration based on Blake–Zisserman type energy

A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm

A Nash-game approach to joint image restoration and segmentation

Means of Hermitian positive-definite matrices based on the log-determinant α-divergence function

Means and averaging in the group of rotations

Experimentally validated computations of flow, mixing and segregation of non-cohesive grains in 3D tumbling blenders

Symmetric Positive-Definite Matrices: From Geometry to Applications and Visualization

Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means

On the Averaging of Symmetric Positive-Definite Tensors

A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax–Wendroff scheme

Unsupervised deep learning for geometric feature detection and multilevel-multimodal image registration

Diagonality measures of Hermitian positive-definite matrices with application to the approximate joint diagonalization problem

Stability of elastic rods with self-contact

The derivation of homogenized diffusion kurtosis models for diffusion MRI

Edge detection from X‐ray tomographic data for geometric image registration

High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems

The derivation of homogenized diffusion kurtosis models for diffusion MRI

Means and Averaging in the Group of Rotations

Fourth-order cartesian tensors: old and new facts, notions and applications

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