Protocol for quantitative characterization of human retinotopic maps using quasiconformal mapping
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Updated: Aug 2, 2025

Topographical Estimation of Visual Population Receptive Fields by fMRI
Published on: February 3, 2015
Duyan Ta1, Negar Jalili Mallak1, Zhong-Lin Lu2
1School of Computing and Augmented Intelligence, Arizona State University, Tempe, AZ, USA.
Abstract:
High-field functional magnetic resonance imaging generates in vivo retinotopic maps, but quantifying them remains challenging. Here, we present a pipeline based on conformal geometry and Teichmüller theory for the quantitative characterization of human retinotopic maps. We describe steps for cortical surface parameterization and surface-spline-based smoothing. We then detail Beltrami coefficient-based mapping, which provides a quantitative and re-constructible description of the retinotopic maps. This framework has been successfully used to analyze the Human Connectome Project's V1 retinotopic maps. For complete details on the use and execution of this protocol, please refer to Ta et al. (2022).1.
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