Procedural method for evaluating the intersection curves of two parametric surfaces (Q1181955)

This paper provides expressions for points and derivatives to get an accurate representation of intersection curves. It is not a method for determining intersection curves, but only a method for parametrizing them. These parametrizations are piecewise-\(C^ 1\), but a general reparameterization scheme has been adapted to obtain \(C^ 1\) and piecewise-\(C^ 2\) parameterizations for these intersection curves. The method is successfully used in the Automation Technology Products' CIMPLEX system since 1986.