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Correction of Distortion in Flattened Representations of the Cortical Surface Allows Prediction of V1-V3 Functional Organization from Anatomy

Figure 3

Polar angle organization.

(A) The mean weighted aggregate polar angle map of all subjects in dataset D10° shown in the cortical surface atlas space. (B) The mean weighted aggregate polar angle 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 over the functional data. (C) The polar angle template plotted on the fsaverage_sym pial surface. This template was calculated by converting the prediction of polar angle from the idealized model, as applied to vertices in the corrected topology, back to the fsaverage_sym atlas. (D) Median absolute leave-one-out polar angle 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 polar angle generated from each subset of 18 of the 19 subjects in the 10° dataset to the observed polar angle of the remaining subject. The median absolute overall leave-one-out error is 10.93° (Tab. 1). The highest errors occur near the foveal confluence and at the dorsal border of V3. (E) Absolute leave-one-out error of the polar angle prediction across all regions (V1, V2, and V3), plotted according to the predicted polar angle value. The thin gray line represents the median error while the thick black line shows a best-fit 5th order polynomial to the median error. The dashed lines demarcate similar fits to the upper and lower error quartiles. Error plots for individual regions are given in Fig. S1.

Figure 3