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Ray tracing point set surfaces

: Adamson, A.; Alexa, M.


Kim, M.-S. ; Institute of Electrical and Electronics Engineers -IEEE-; Korea Computer Graphics Society:
Shape modeling international, SMI 2003. Proceedings : 12 - 15 May 2003, Seoul, Korea
Los Alamitos, Calif.: IEEE Computer Society, 2003
ISBN: 0-7695-1909-1
International Conference on Shape Modeling and Applications (SMI) <5, 2003, Seoul>
Conference Paper
Fraunhofer IGD ()
ray tracing; point sampled geometry; point set surface

Point set surfaces (PSS) 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 and respects a minimum feature size. We present techniques for ray tracing PSSs. For the computation of ray-surface intersection the properties of the projection operation are exploited: The surface is enclosed by a union of minimum feature size spheres. A ray is intersected with the spheres first and inside the spheres with local polynomial approximations. Our results show that 2-3 projections are sufficient to accurately intersect a ray with the surface.