Abstract: A computer-implemented method for correcting topological defects on a surface mesh representing an organ homeomorphic to a sphere and obtained from a medical image. The method comprises applying a transformation to the surface mesh distributing positions of vertices of the surface mesh into a spherical point cloud and maintaining vertices neighborhoods. The method also comprises meshing the points of the spherical point cloud according to a triangular surface mesh presenting: the union of the triangles of the triangular surface mesh forms the convex hull of the points of the spherical point cloud and the intersection between any first triangle of the triangular surface mesh and any second triangle intersecting the first triangle is a vertex of the first triangle or an edge of the first triangle. The method also comprises mapping back the meshing onto the vertices of the surface mesh by reversing the transformation.

Abstract: A method of segmentation of a medical image of a human brain including obtaining a voxelized 3D medical image of the human brain, computing at least two surface models of the human brain using a BET method, each surface model being computed for a unique fractional constant bt. For each computed surface model, determining a volume included in the computed surface model, thereby obtaining a set of sample pairs, fitting a curve to the sample pairs of the set, determining an inflection point of the curve, identifying a fractional constant bt corresponding to the determined inflection point, and computing the surface model of the human brain using the BET method that is dependent of bt.

Abstract: A method of segmentation of a medical image of a human brain including obtaining a voxelized 3D medical image of the human brain, computing at least two surface models of the human brain using a BET method, each surface model being computed for a unique fractional constant bt. For each computed surface model, determining a volume included in the computed surface model, thereby obtaining a set of sample pairs, fitting a curve to the sample pairs of the set, determining an inflection point of the curve, identifying a fractional constant bt corresponding to the determined inflection point, and computing the surface model of the human brain using the BET method that is dependent of bt.