Device for aiding the production of a mesh, includes storing first numerical data defining a surface to be processed, a partitioner calculating three-dimensional work cells given initial points, each work cell associated with a point in space, a tiling tool actuating the partitioner with a first set of initial points, defined with respect to the surface, so as to obtain a first set of work cells, an evaluator calculating a cumulative quantity representing the sum of the moments of the points of the work cells with respect to their associated points, and an optimizer iteratively actuating the tiling tool and the evaluator with a set of initial points drawn from the previous sets, according to a rule calculated to minimize said cumulative quantity. The moments are determined by a chosen nonnative function, of order higher than or equal to two and/or according to an adaptation matrix representing an anisotropy field.