Fig. 3

Quantification of geometrical distortion. a Examples of a root with a larger area (red) and a smaller area (blue) compared to the CMB patch (black). All structures f are modeled by Gaussians with standard deviations representing the width. The horizontal axis represents either longitude or colatitude cross sections. b Correlation of a flux patch (R is the radial distance from the center of the patch) and its mid-depth root for a range of geometrical distortion ratios S _o /S_1/2. The red and green vertical dashed lines represent the radial distortion and the tangent cylinder rim effect, respectively