Single equation without inequalities to represent a composite curve

Authors:
E. Chicurel-Uziel
Affiliations:
Instituto de Ingeniería, Universidad Nacional Autónoma de México, Apdo. Postal 70-472, Coyoacan 04510, Mexico
Venue:
Computer Aided Geometric Design
Year:
2004

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Abstract

A scheme is proposed based on an extension of Analytic Geometry to represent a composite curve either with a single equation or with two equations in the case of parametric representation, or three equations in the case of parametric representation of 3D surfaces, without the use of inequalities and valid from minus infinity to plus infinity. The general equations of the regular polygon, the polygonal cylinder as well as the equation of the main view of the chain sprocket are established.