Normal and Equivolumetric Coordinate Systems for Cortical Areas
Optimization and Control
2019-11-20 v1
Abstract
We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline normality or equivolumetric conditions on layers. We give a precise mathematical formulation of these problems, and present numerical simulations based on diffeomorphic registration methods, comparing them with recent approaches.
Cite
@article{arxiv.1911.07999,
title = {Normal and Equivolumetric Coordinate Systems for Cortical Areas},
author = {Laurent Younes and Kwame S. Kutten and J. Tilak Ratnanather},
journal= {arXiv preprint arXiv:1911.07999},
year = {2019}
}