Enables efficient correction of topological consistency of an input three-dimensional shape approximated in a spatial graph. Structured mesh generation systems of the present invention include: a topology determination apparatus for reading shape data from a shape data storage device to determine topological consistency and outputting data for solving a problem about topological consistency; a decomposable shape generation apparatus for reading the data outputted by the topology determination apparatus, changing a constraint condition of an integer programming problem solver to execute a shape correction process and outputting corrected shape data; and a structured mesh generation apparatus for reading the corrected shape data to generate a structured mesh.