Mathematical morphology for design and manufacturing

 In general geometric models, the design of objects is usually separated from the manufacture  At the present, two general solid modeling representations dominate: B-REP (Boundary representation) and CSG (Constructive Solid Geometry)  They have some drawbacks:  The design of complex objects is usually complicated.  CSG: limited number of primitives for free surfaces design  B-REP: modification of free surfaces hardly intutitive  A secondary superficial model is needed (triangulation). CSG uses volumes instead of surfaces B-REP uses heterogeneous representations for different surfaces  They almost completely separate the design process from the manufacturing process. More freedom for the designer Subsequent complex operation are required to obtain the machining paths The final object may not accurately represent the original design