Ohtake, YutakaBelyaev, AlexanderAlexa, MarcMathieu Desbrun and Helmut Pottmann2014-01-292014-01-2920053-905673-24-X1727-8384https://doi.org/10.2312/SGP/SGP05/149-158We 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.