Fig. 1
From: BMI-related cortical morphometry changes are associated with altered white matter structure
The curvature, c, at a point on a line is defined as the inverse of the radius of the osculating circle at that point. On a surface, the curvature of each point is a function of principal curvatures at that point, which are always orthogonal to each other. The mean curvature is the average of the principal curvatures, while the Gaussian curvature is the product of principal curvatures. Presented here are the maps of mean and Gaussian curvatures of the cortical surface reconstruction. While the mean curvature follows the pattern of gyri (in green) and sulci (in red), the pattern of Gaussian curvature is of much higher spatial frequency and does not follow the larger-scale morphological features of cortical folds. Positive Gaussian curvature is depicted in red and negative Gaussian curvature in green. Taken from [12]
