Precision Improvements for Ray/Sphere Intersection

The traditional quadratic formula is often presented as the way to compute the intersection of a ray with a sphere. While mathematically correct, this factorization can be numerically unstable when using floating-point arithmetic. We give two little-known reformulations and show how each can improve precision.

Authors: 
Eric Haines (NVIDIA)
Johannes Gunther (Intel)
Publication Date: 
Friday, March 1, 2019