## Publica

Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten. # Ray Tracing von Punktmengenflächen

**Abstract**

Point set surfaces are a smooth manifold surface approximation from a set of sample points. The surface definition is based on a projection operation that constructs local polynomial approximations. I present techniques for ray tracing point set surfaces. For the computation of ray-surface intersections, properties of the projection operator are exploited. My results show that 2-3 projection operations are sufficient to accurately intersect a ray with the surface. In addition, i devise a spatial hierarchy and other techniques to further minimize the number of projection operations when tracing several rays.