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Sparse low-degree implicit surface with applications to high quality rendering, feature extraction, and smoothing

: Ohtake, Y.; Belyaev, A.; Alexa, M.

Desbrun, M. ; European Association for Computer Graphics -EUROGRAPHICS-; Association for Computing Machinery -ACM-, Special Interest Group on Graphics -SIGGRAPH-:
SGP 2005, Symposium on Geometry Processing. Proceedings : Third Eurographics Symposium on Geometry Processing ; Vienna, Austria, July 4-6, 2005
Aire-la-Ville: Eurographics Association, 2005
ISBN: 3-905673-24-X
Symposium on Geometry Processing (SGP) <3, 2005, Vienna>
Conference Paper
Fraunhofer IGD ()
point set surface; curve representation; implicit surface; point sample rendering

We propose a new surface representation delivering an accurate approximation to a set of points scattered over a smooth surface by Sparse Low-degree IMplicits (SLIM). The SLIM surface representation consists of a sparse multi-scale set of nonconforming surface primitives which are blended along view rays during the rendering phase. This new representation leads to an interactive real-time visualization of large-size models and delivers a better rendering quality than standard splatting techniques based on linear primitives. Further, SLIM allows us to achieve a fast and accurate estimation of surface curvature and curvature derivatives and, therefore, is very suitable for many non-photorealistic rendering tasks. Applications to ray-tracing and surface smoothing are also considered.