ABSTRACT

The distance methods of Chapter 14 may be used to detect intersections of ob-jects. Of course, a distance of zero means the objects are intersecting. The distance functions compute a pair of closest points, but if two objects are overlapping, the number of intersection points may be infinite. This chapter presents some commonly used intersection methods that are not based on distance. The first part is dedicated to line-object intersections and the last part is dedicated to object-object intersections. In all cases, objects are treated as solids. A planar component such as a triangle or rectangle and a spatial component such as a sphere or box are defined to be the set of boundary and interior points.