2 necessary ray-tracing algorithms = intersection and mapping of Ray spheres

The ball is one of the most commonly used elements in ray tracing, and is also used in bounding box algorithms due to the easiest calculation intersection. therefore, an in-depth study of this section of the problem solution. first, a simple algebraic solution is derived. then the special condition of the problem is investigated, and a more effective geometrical solution is proposed. The comparison of the analysis results shows the basic equivalence of the two algorithms.

The common defects in ray tracing are studied, and some solutions are put forward.

The most common inverse mapping algorithm for spherical surfaces summarizes this section.

2 necessary ray-tracing algorithms = intersection and mapping of Ray spheres