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A canal surface <italic>S</italic>, generated by a parametrized curve <italic>m</italic>(<italic>t</italic>), in R<supscrpt>3</supscrpt> is the envelope of the set of spheres with radius <italic>r</italic>(<italic>t</italic>) centered at <italic>m</italic>(<italic>t</italic>). This concept generalizes the classical offsets (for… (More)

A plane algebraic curve is given as the zeros of a bivariate polynomial. However , this implicit representation is badly suited for many applications, for instance in computer aided geometric design. What we want in many of these applications is a rational parametrization of an algebraic curve. There are several approaches to deciding whether an algebraic… (More)

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