Correction of Distortion in Flattened Representations of the Cortical Surface Allows Prediction of V1-V3 Functional Organization from Anatomy
(A) The mean weighted aggregate eccentricity map of all subjects in dataset D10° shown in the fsaverage_sym cortical atlas space. (B) The mean weighted aggregate eccentricity map from panel A shown in the corrected topology following MSD warping. A line plot of the algebraic model to which the MSD simulation registered the functional data is shown. (C) The eccentricity template plotted on the fsaverage_sym pial surface. This template was calculated by converting the prediction of eccentricity from the algebraic model, as applied to vertices in the corrected topology, back to the fsaverage_sym topology. (D) Median absolute leave-one-out eccentricity error for all vertices with predicted eccentricties between 1.25° and 8.75° shown in the fsaverage_sym atlas space. This error was calculated by comparing the predicted eccentricity generated from each subset of 18 of the 19 subjects in the 10° dataset to the observed eccentricity of the remaining subject. The median absolute overall leave-one-out error is 0.41° (Tab. 1). The highest errors occur near the outer eccentricity border of of our stimulus. (E) Absolute leave-one-out error of the eccentricity prediction across all regions (V1, V2, and V3), plotted according to the predicted polar angle value. Error plots for individual regions are given in Fig. S2. (F) The mean weighted aggregate eccentricity map of all subjects in dataset D20° shown in the cortical patch corrected by MSD warping to the D10° dataset. Although this dataset includes eccentricities beyond those used to discover the corrected topology, the 20° aggregate data is in good (although not perfect) agreement with the prediction.