5.7.2 Rational polynomial parametric curve/rational polynomial parametric surface intersection (Case E1)

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5.7.2 Rational polynomial parametric curve/rational polynomial parametric surface intersection (Case E1)

The intersection problem between a rational polynomial parametric curve and a rational polynomial parametric surface is defined as:

			(5.71)

The equation consists of three nonlinear equations in three unknowns , , . A preprocessing step of checking bounding boxes for absence of intersection is helpful.

Subsections

5.7.2.1 Implicitization
5.7.2.2 Bounding box and subdivision followed by minimization method
5.7.2.3 Interval Projected Polyhedron solver

December 2009