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5.6 Curve/curve intersection

Curve to curve intersection cases are identified in Table 5.1. Conceptually, case D3 (RPP/IA curve intersections) is the simplest of the above cases of intersection to describe and use for illustrating various general difficulties of intersection problems (see Sect. 5.6.1). The next case of interest is case D1 (RPP/RPP curve intersections) from Table 5.1 and this is analyzed in Sect. 5.6.2. Next cases D2 and D5 (RPP/PP and PP/PP curve intersections) from Table 5.1 are analyzed in Sect. 5.6.3. These are followed by cases D6 (PP/IA curve intersections) and D8 (IA/IA curve intersections) analyzed in Sects. 5.6.4 and 5.6.5, respectively. Cases D4, D7, D9 and D10 are not addressed here, however the reader should be able to analyze those cases based on the cases treated in this section.


Table 5.1: Classification of curve/curve intersections

Curve type
Curve type RPP PP IA IP
RPP D1 D2 D3 D4
PP   D5 D6 D7
IA     D8 D9
IP       D10



Subsections
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Next: 5.6.1 Rational polynomial parametric/implicit Up: 5. Intersection Problems Previous: 5.5.3 Point/procedural parametric surface   Contents   Index
December 2009