[图书][B] Shapes and diffeomorphisms

L Younes - 2010 - Springer
Implicit representations can provide simple descriptions of relatively complex shapes and
can in many cases be a good choice when designing stable shape processing algorithms …

Barycentric subspace analysis on manifolds

X Pennec - 2018 - projecteuclid.org
Supplement A: Hessian of the Riemannian squared distance. This supplementary material
describes in more length the notions of Riemannian geometry that are underlying the main …

Construction of a neonatal cortical surface atlas using multimodal surface matching in the developing human connectome project

J Bozek, A Makropoulos, A Schuh, S Fitzgibbon… - NeuroImage, 2018 - Elsevier
We propose a method for constructing a spatio-temporal cortical surface atlas of neonatal
brains aged between 36 and 44 weeks of post-menstrual age (PMA) at the time of scan. The …

Frequency diffeomorphisms for efficient image registration

M Zhang, R Liao, AV Dalca, EA Turk, J Luo… - … Processing in Medical …, 2017 - Springer
This paper presents an efficient algorithm for large deformation diffeomorphic metric
mapping (LDDMM) with geodesic shooting for image registration. We introduce a novel finite …

Non-parametric volumetric registration

PA Yushkevich, M Zhang - Medical Image Analysis, 2024 - Elsevier
In non-parametric volumetric registration (NVR), the entire spatial transformation is treated
as an unknown function subject to a set of constraints, such as smoothness and invertibility …

Second-order models for optimal transport and cubic splines on the Wasserstein space

JD Benamou, TO Gallouët, FX Vialard - Foundations of Computational …, 2019 - Springer
On the space of probability densities, we extend the Wasserstein geodesics to the case of
higher-order interpolation such as cubic spline interpolation. After presenting the natural …

Detection of conversion from mild cognitive impairment to Alzheimer's disease using longitudinal brain MRI

Z Sun, M Van de Giessen, BPF Lelieveldt… - Frontiers in …, 2017 - frontiersin.org
Mild Cognitive Impairment (MCI) is an intermediate stage between healthy and Alzheimer's
disease (AD). To enable early intervention it is important to identify the MCI subjects that will …

LESA: Longitudinal elastic shape analysis of brain subcortical structures

Z Zhang, Y Wu, D Xiong, JG Ibrahim… - Journal of the …, 2023 - Taylor & Francis
Over the past 30 years, magnetic resonance imaging has become a ubiquitous tool for
accurately visualizing the change and development of the brain's subcortical structures (eg …

A nonlinear regression technique for manifold valued data with applications to medical image analysis

M Banerjee, R Chakraborty, E Ofori… - Proceedings of the …, 2016 - openaccess.thecvf.com
Regression is an essential tool in Statistical analysis of data with many applications in
Computer Vision, Machine Learning, Medical Imaging and various disciplines of Science …

Nonlinear regression on Riemannian manifolds and its applications to neuro-image analysis

M Banerjee, R Chakraborty, E Ofori… - … Image Computing and …, 2015 - Springer
Regression in its most common form where independent and dependent variables are in ℝ
n is a ubiquitous tool in Sciences and Engineering. Recent advances in Medical Imaging …