5.6.4 Procedural parametric/implicit algebraic curve intersection (Case D6)

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5.6.4 Procedural parametric/implicit algebraic curve intersection (Case D6)

The intersection problem is defined as:

$\displaystyle \mathbf{r}= \mathbf{r}(t)\;\cap\; f(\mathbf{r})=g(\mathbf{r})=0,\quad \quad 0 \leq t \leq 1\;.$

(5.66)

This can be reduced to PP curve/IA surface intersection (see Sect. 5.7.4), i.e. ${\bf r}={\bf r}(t) \cap f({\bf r})=0$ and ${\bf r}={\bf r}(t) \cap g({\bf r})=0$ , and comparison of solutions.

December 2009