Aggregate retinotopic maps of each dataset were produced separately for polar angle and eccentricity by finding the weighted mean polar angle and eccentricity of all subjects at each aligned vertex position. Mean polar angles and eccentricities were weighted by the F-statistic of the confidence of each subject's polar angle and eccentricity assignments. A confidence for each vertex in the aggregate was calculated as the sum of squares of the F-statistics of all significant vertices divided by the sum of the same F-statistics. For a set of subjects Q , each of whom have a vertex at position p on the cortical surface with a polar angle and eccentricity assignment whose significance is above threshold, the confidence of aggregate vertex p is (Σq•Q F(q, p)2)/(Σq•Q F(q, p)) where F(s, x) is the confidence of the polar angle and eccentricity assignment in subject s at vertex position x. The assignment of any vertex whose confidence was below a minimum threshold chosen for the dataset (see Supplemental Mathematica Notebook, §3.2), was discarded. Because averaging produces bias in the direction of the mean near the borders of a finite stimulus range (e.g., values near 0° and 180° of polar angle tend to attenuate toward 90° in the aggregate), the aggregate polar angle values were corrected and eccentricity was truncated by 1.25°. Polar angle correction was performed by forcing the distribution of polar angles in the corrected aggregate to match the distribution of the union of all significant polar angle values of all subjects. More specifically, the uncorrected aggregate polar angle θ of each vertex in the aggregate was changed to a corrected polar angle θ′ such that C(A, θ) = C(M, θ′) where C(D, t) is the cumulative density function of the distribution D, evaluated at t, and A and M are the distributions of the uncorrected aggregate polar angles and union of all significant polar angle values for all subjects, respectively. Eccentricity values below 1.25° and within 1.25° of the outer stimulus border were excluded due to measurement bias near the edge of the stimulus range [23] (link).
All vertices within π/3 radians on the inflated spherical hemisphere of the point p0, defined as the most anterior point on the anatomically defined V1 border [7] (link), were rotated such that p0 lay at the intersection of the equator of the spherical fsaverage_sym brain hemisphere and prime meridian, then flattened via projection onto the plane tangent to the sphere at p0. A shear transformation, present also in our previous treatment of V1 [11] (link), was applied to the flattened data to render the V1 region more elliptical. These flattened and sheared data formed a “flattened occipital region” on the cortical surface.
All vertices within π/3 radians on the inflated spherical hemisphere of the point p0, defined as the most anterior point on the anatomically defined V1 border [7] (link), were rotated such that p0 lay at the intersection of the equator of the spherical fsaverage_sym brain hemisphere and prime meridian, then flattened via projection onto the plane tangent to the sphere at p0. A shear transformation, present also in our previous treatment of V1 [11] (link), was applied to the flattened data to render the V1 region more elliptical. These flattened and sheared data formed a “flattened occipital region” on the cortical surface.
Full text: Click here