Before revision:  The approach starts by estimating the intersection between the classification boundary and the edges of a regular grid covering the compact set . Then it builds a classification surface made of recursive simplex stars (resistars) defined in the grid cubescontaining such boundary points. A first variant, the simple resistar (s-resistar) defines a single star of simplices which share the barycentre of the cube boundary points and include stars of simplices defined similarly in cube facets, and so on recursively until a face boundary points define a single simplex.
After revision:  The approach starts by estimating the intersection between the classification boundary and the edges of a regular grid covering the compact set , from boundary points that approximate the intersection between M and the edges of the cubes. All the simplices defined in a cube share the barycentre of the cube boundary points and include stars of simplices defined similarly in cube facets, and so on recursively until a face boundary points define a single simplex.