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This lesson develops the geometry and algebra behind ray-sphere intersections in ray tracing. It covers lines, rays, circles, spheres, quadratic equations, discriminants, exact intersection points, and result validation.
Syllabus
- Math and this episode
- Lines and rays
- Spheres and circles
- How this relates to ray tracing
- How do we find intersection points?
- Quadratic equations
- Solving the equation
- Using the discriminant to see if there are intersections
- Finding exact intersection points
- Validating our result
- Next steps and homework
Taught by
The Cherno