11.7 PLANAR COMPONENTS AND QUADRIC SURFACES

In this section, we cover the intersection of planar components and quadric surfaces. We present several different solutions—one for the general case of a plane and any quadric, one for the case of a plane and the so-called “natural quadrics” (sphere, right circular cone, right circular cylinder), and one for the intersection of a triangle and a cone.

11.7.1 PLANE AND GENERAL QUADRIC SURFACE

In this section we address the problem of computing the intersection of a plane and a general quadric surface (Busboom and Schalkoff 1996). The solution presented holds for all quadric surfaces, but because it is general, it cannot take advantage of geometric characteristics of particular types of quadrics. Methods ...

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