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SME MS99-179

M00012984

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SME MS99-179 Approximating Geometric Designs With Simple Material Removal Processes And Cad/Cam Tools

standard by Society of Manufacturing Engineers, 11/01/1999

Beth E. Allen

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This paper addresses the question of what geometric objects can be designed and manufactured with a CAD/CAM system and especially what geometric objects can be approximated by those produced with a CAD/CAM system. For a class of simple material removal processes (cut and discard finitely many times), the answer is that all closed convex subsets of the workpiece can be approximated, in a sense that is related to tolerances. Implications for cost functions and for incremental design and manufacture are discussed.