Rays and Spheres- The Math! - Ray Tracing Series

Dive into the mathematical foundations of ray tracing in this comprehensive 38-minute video tutorial. Explore the concepts of rays, spheres, and their intersections as they relate to computer graphics and rendering. Learn about lines, rays, and spheres, and understand how these geometric principles apply to ray tracing techniques. Discover methods for finding intersection points using quadratic equations and discriminants. Follow along as the instructor demonstrates problem-solving techniques, validates results, and provides next steps for further learning. Gain valuable insights into the math behind ray tracing algorithms, essential for creating photorealistic digital imagery and optimizing rendering performance.

- 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