Computing the Intersection of a Line and a Cone
Ching-Kuang Shene, Northern Michigan University. E-mail address: shene@nmu.edu
Introduction
Computing the intersection of a line and an object is a common operation in computer graphics, for example, when ray tracing. Computation of the intersection of a line and a cylinder has been treated in previous gems ( Cychosz and Waggenspack 1994, Shene 1994). This gem extends the latter work by computing the intersection of a line and a cone through geometric means.
Definitions
The notation and defining formulas are presented for three geometric objects:
• l(B, d): the line defined by base point B and direction vector 1 d.
• : the plane defined by base point B and normal vector n.
• : the ...
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