【发布】paper about Mathematical theory of dimensioning and

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Mathematical theory of dimensioning and
parameterising product geometry
Vijay Srinivasan
IBM Corporation and Columbia University,
New York, NY, USA
E-mail: [email="vasan@us.ibm.com"]vasan@us.ibm.com[/email]

Abstract: The classic art of dimensioning a drawing and the modern art of
parameterising a product geometric model in a computer aided system have a
lot in common. As industry moved into the information age, this commonality
became apparent and the need to find a unified mathematical theory assumed
greater urgency. This paper presents the results of nearly two decades of work
towards such a theory. It is based exclusively on congruence theorems, some of
which are known since the days of Euclid and others which were proved only
recently. These results are being incorporated into national and international
standards that deal with product lifecycle management.
Keywords: dimensioning; parameterising; geometry; product; congruence;
symmetry; relative positioning; constraints; solids; standards.
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