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We propose a framework for jointly modeling the geometry and functionality inhigh dimensional functional surfaces. The proposed mixed effects modelcharacterizes effects of subject-specific covariates and exogenous stimuli onfunctional surfaces while accounting for potential mutual-influence of theirgeometry and functionality. This is achieved through a computationallyefficient estimation method that incorporates regularized estimation of theprecision matrix of the random effects. We perform a thorough analysis ofcerebral cortical surface structural MRI and task fMRI data from the HumanConnectome Project and discover relationships between the geometric shapes ofcortical surface and neuronal activation responding to task stimuli. Ourfindings highlight new modes of correspondence between cortical surface shapeand functional activation relevant to emotion processing.

Joint Modeling for Geometry and Functionality of Cerebral Cortical Surface Images