A Projection Operator for the Restoration of Divergence-Free Vector Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Injectivity conditions of 2D and 3D uniform cubic B-spline functions
Graphical Models - Pacific Graphics '99 in Graphical Models
Understanding the "Demon's Algorithm": 3D Non-rigid Registration by Gradient Descent
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Estimating 3D Strain from 4D Cine-MRI and Echocardiography: In-Vivo Validation
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Optimal registration of deformed images
Optimal registration of deformed images
Iconic feature based nonrigid registration: the PASHA algorithm
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Isotropic Energies, Filters and Splines for Vector Field Regularization
Journal of Mathematical Imaging and Vision
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
A Low Dimensional Fluid Motion Estimator
International Journal of Computer Vision
Symmetric Log-Domain Diffeomorphic Registration: A Demons-Based Approach
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Physically-Constrained Diffeomorphic Demons for the Estimation of 3D Myocardium Strain from Cine-MRI
FIMH '09 Proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart
Large Diffeomorphic FFD Registration for Motion and Strain Quantification from 3D-US Sequences
FIMH '09 Proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart
Estimating myocardial motion by 4D image warping
Pattern Recognition
4D MAP Image Reconstruction Incorporating Organ Motion
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
International Journal of Computer Vision
Biomechanically-Constrained 4D Estimation of Myocardial Motion
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
A Demons Algorithm for Image Registration with Locally Adaptive Regularization
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Contributions to 3D diffeomorphic atlas estimation: application to brain images
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
A log-euclidean framework for statistics on diffeomorphisms
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Diffeomorphic registration using b-splines
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
An ultrasound-driven kinematic model of the heart that enforces local incompressibility
FIMH'11 Proceedings of the 6th international conference on Functional imaging and modeling of the heart
Synthetic echocardiographic image sequences for cardiac inverse electro-kinematic learning
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
An incompressible log-domain demons algorithm for tracking heart tissue
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Variability of the human cardiac laminar structure
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Statistical atlas of human cardiac fibers: comparison with abnormal hearts
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Cardiac motion estimation using covariant derivatives and helmholtz decomposition
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Diffeomorphic cardiac motion estimation with anisotropic regularization along myofiber orientation
WBIR'12 Proceedings of the 5th international conference on Biomedical Image Registration
Regional flux analysis of longitudinal atrophy in alzheimer's disease
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
STIA'12 Proceedings of the Second international conference on Spatio-temporal Image Analysis for Longitudinal and Time-Series Image Data
Current-Based 4d shape analysis for the mechanical personalization of heart models
MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
Motion estimation in 3d echocardiography using smooth field registration
STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Evaluation of ilogdemons algorithm for cardiac motion tracking in synthetic ultrasound sequence
STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
A near-incompressible poly-affine motion model for cardiac function analysis
STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Geodesics, Parallel Transport & One-Parameter Subgroups for Diffeomorphic Image Registration
International Journal of Computer Vision
Spectral Log-Demons: Diffeomorphic Image Registration with Very Large Deformations
International Journal of Computer Vision
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Tracking soft tissues in medical images using non-linear image registration algorithms requires methods that are fast and provide spatial transformations consistent with the biological characteristics of the tissues. LogDemons algorithm is a fast non-linear registration method that computes diffeomorphic transformations parameterised by stationary velocity fields. Although computationally efficient, its use for tissue tracking has been limited because of its ad-hoc Gaussian regularisation, which hampers the implementation of more biologically motivated regularisations. In this work, we improve the logDemons by integrating elasticity and incompressibility for soft-tissue tracking. To that end, a mathematical justification of demons Gaussian regularisation is proposed. Building on this result, we replace the Gaussian smoothing by an efficient elastic-like regulariser based on isotropic differential quadratic forms of vector fields. The registration energy functional is finally minimised under the divergence-free constraint to get incompressible deformations. As the elastic regulariser and the constraint are linear, the method remains computationally tractable and easy to implement. Tests on synthetic incompressible deformations showed that our approach outperforms the original logDemons in terms of elastic incompressible deformation recovery without reducing the image matching accuracy. As an application, we applied the proposed algorithm to estimate 3D myocardium strain on clinical cine MRI of two adult patients. Results showed that incompressibility constraint improves the cardiac motion recovery when compared to the ground truth provided by 3D tagged MRI.