 
Summary: Cost Prediction for Ray Tracing
B. Aronov H. Bronnimann A.Y. Chang Y.J. Chiang
Computer and Information Science Department
Polytechnic University
Brooklyn, NY 11201 USA
Abstract
The cost of ray tracing can be attributed in a large
part to the cost of the geometric problem of ray shoot
ing. In order to accelerate this problem, many data
structures have been proposed, none of those used in
practice having a worstcase complexity better than
the nave approach of testing each object in turn.
As argued by Aronov and Fortune, it is not the worst
case cost but the average cost of a ray shooting query
which needs to be minimized, and they show how to
construct a triangulation which minimizes this aver
age cost under a rigidmotion invariant distribution
of lines and a corresponding distribution of rays (it
is an approximation of the minimum weight Steiner
triangulation).
