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Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation
The key contribution of this work is to provide an accurate estimation of the so-called initial momentum, which is a scalar function encoding the optimal deformation between two images through the Hamiltonian equations of geodesics.
Simultaneous Multi-scale Registration Using Large Deformation Diffeomorphic Metric Mapping
The goal is to perform rich anatomical shape comparisons from volumetric images with the mathematical properties offered by the LDDMM framework, and proposes a strategy to quantitatively measure the feature differences observed at each characteristic scale separately.
From Homogeneous to Fractal Normal and Tumorous Microvascular Networks in the Brain
3D results shed new light on previous two dimensional analyses giving for the first time a direct measurement of vascular modules associated with vessel-tissue surface exchange.
Spatially Adaptive Mixture Modeling for Analysis of fMRI Time Series
The proposed method is unsupervised and spatially adaptive in the sense that the amount of spatial correlation is automatically tuned from the data and this setting automatically varies across brain regions, validates the treatment of unsmoothed fMRI data without fixed GLM definition at the subject level and makes also the classical strategy of spatial Gaussian filtering deprecated.
Gap Filling of 3-D Microvascular Networks by Tensor Voting
A new algorithm which merges discontinuities in 3-D images of tubular structures presenting undesirable gaps is presented, based on the skeletonization of the segmented network followed by a tensor voting method, which permits to merge the most common kinds of discontinuity found in microvascular networks.
Min-max Extrapolation Scheme for Fast Estimation of 3D Potts Field Partition Functions. Application to the Joint Detection-Estimation of Brain Activity in fMRI
A fast numerical scheme to estimate Partition Functions (PF) of symmetric Potts fields based upon a classical path-sampling method to approximate a small subset of reference PFs corresponding to prespecified regions that makes spatially adaptive regularization of whole brain fMRI datasets feasible.
Motion Correction and Parameter Estimation in dceMRI Sequences: Application to Colorectal Cancer
We present a novel Bayesian framework for non-rigid motion correction and pharmacokinetic parameter estimation in dceMRI sequences which incorporates a physiological image formation model into the
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
A variational approach for multiscale analysis of diffeomorphisms is developed in detail to generalize to several scales the semidirect product representation, and to illustrate the resulting diffeomorphic decomposition on synthetic and real images.