The volume fractions for a sphere are initialized. Care is taken to achieve high enough accuracy to avoid spurious errors. The curvature is computed using the default method in Paris Simulator and compared to the method used by Stéphane Popinet in basilisk. A series of diameter values are tested. A total number of SAMPLESIZE spheres are intialized with each diameter to check for all configurations, and the maximum Linfinity norm for the set of spheres is shown. The height function method is used with a search depth of ndepth=NDEPTH. The "ParisSim old method" uses mixed heights with no centroid added to set of points begin fitted. The addition of the centroid of the face in the current cell explains the improvement when using the current method displayed with the tag "ParisSim current".