A computer-assisted design method for a second three-dimensional object from a first three dimensional object known only by its boundary surfaces, through a surface model of the B-Rep type, of the planar, cylindrical, cone, sphere, or toroid type, excluding free forms in defining the boundary of the object. The first object is broken down into a set of simple volume primitives. The first object is associated with a construction graph defined from these volume primitives and a set of geometric parameters for using these volume primitives in the specific case of that first object. The construction graph enables a compact description of all of the construction alternatives of the object through Boolean combinations of these primitives. The second object is generated as an alternative of the first object according to that construction graph, by modifying some of these parameters.