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Chapter and Conference Paper
Differential Geometry Revisited by Biquaternion Clifford Algebra
In the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras. Clifford algebras yield an excellent...
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Chapter and Conference Paper
Estimation of In Vivo Myocardial Fibre Strain Using an Architectural Atlas of the Human Heart
We propose a methodology to estimate 3D+time maps of left ventricular (LV) fibre strain from human structural and dynamic MRI data. A biomechanical finite element model integrates fibre direction throughout th...
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Chapter and Conference Paper
Statistical Analysis of the Human Cardiac Fiber Architecture from DT-MRI
A statistical atlas of the cardiac fiber architecture is built for the first time with a human dataset of 10 healthy ex vivo hearts acquired using DT-MRI. The atlas is constructed using an efficient semi-automate...
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Chapter and Conference Paper
Driving Dynamic Cardiac Model Adaptation with MR-Tagging Displacement Information
The dynamic deformable elastic template (DET) model has been previously introduced for the retrieval of personalized anatomical and functional models of the heart from dynamic cardiac image sequences. Dynamic ...
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Chapter and Conference Paper
Respiratory Motion Estimation from Cone-Beam Projections Using a Prior Model
Respiratory motion introduces uncertainties when planning and delivering radiotherapy for lung cancer patients. Cone-beam projections acquired in the treatment room could provide valuable information for build...
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Chapter and Conference Paper
Locally Adapted Spatio-temporal Deformation Model for Dense Motion Estimation in Periodic Cardiac Image Sequences
We recently introduced a continuous state space parametric model of spatio-temporal transformations and an algorithm, based on Kalman filtering, to represent motion in an image sequence describing a periodic p...
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Chapter and Conference Paper
A Hyperelastic Deformable Template for Cardiac Segmentation in MRI
This article proposes a hyperelastic 3D deformable template for the segmentation of soft structures. It relies on a template, which is a topological, geometrical and material model of the structure to segment....
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Chapter and Conference Paper
A Realistic Anthropomorphic Numerical Model of the Beating Heart
A realistic anthropomorphic numerical model of the beating heart is presented. It includes the main cardiac anatomical structures, vessels junctions and part of the coronary network. Its main feature is that i...
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Chapter and Conference Paper
Evaluation of Two Free Form Deformation Based Motion Estimators in Cardiac and Chest Imaging
In the context of motion estimation of the heart and thoracic structures from tomographic imaging, we investigated two free form deformations (FFD) based non linear registration methods as motion estimators. S...
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Chapter and Conference Paper
Evaluation and Comparison of Surface and Intensity Based Rigid Registration Methods for Thorax and Cardiac MR and PET Images
In this paper an evaluation and a comparison of surface and image intensity based (mutual information, normalized mutual information and correlation ratio) rigid registration methods for cardiac magnetic reson...
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Chapter and Conference Paper
A Strategy to Quantitatively Evaluate MRI/PET Cardiac Rigid Registration Methods Using a Monte Carlo Simulator
The goal of this work is to present a strategy to validate cardiac MRI/PET registration methods. The strategy relies on a MRI/PET image reference data set including a computer generated PET data set of the tho...
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Chapter and Conference Paper
Integrated Quantitative Analysis of Tagged Magnetic Resonance Images
An image processing pipeline is presented for the quantitative analysis of 2D grid tagged Magnetic Resonance images. The first step concerns the automatic extraction of the tagging pattern and the definition o...
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Chapter and Conference Paper
A 3-D Model-Based Approach for the PET-Functional and MR-Anatomical Cardiac Imaging Data Fusion
In this paper, an approach for the assessment of 3-D functional maps of the heart is proposed. It relies on the model-based coregistration of MR anatomical and PET metabolic images and the extraction of an ind...