Approximating geometric designs with simple material removal processes and CAD/CAM tools

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)MS99-179-1 - MS99-179-6
JournalTechnical Paper - Society of Manufacturing Engineers. MS
Issue numberMS99-179
StatePublished - Jan 1 1999

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