Sparse Low-degree Implicit Surfaces with Applications to High Quality 
Rendering, Feature Extraction, and Smoothing

Ohtake, Yutaka; Belyaev, Alexander; Alexa, Marc; Desbrun, M.; Pottman, H.

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Sparse Low-degree Implicit Surfaces with Applications to High Quality Rendering, Feature Extraction, and Smoothing

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Ohtake, Yutaka
Computer Graphics, MPI for Informatics, Max Planck Society;

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Belyaev, Alexander
Computer Graphics, MPI for Informatics, Max Planck Society;

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Citation

Ohtake, Y., Belyaev, A., & Alexa, M. (2005). Sparse Low-degree Implicit Surfaces with Applications to High Quality Rendering, Feature Extraction, and Smoothing. In Eurographics Symposium on Geometry Processing 2005 (pp. 149-158). Aire-la-Ville, Switzerland: Eurographics Association.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-27BD-C

Abstract

We propose a new surface representation delivering an accurate approximation to a set of points scattered over a smooth surface by {\bf S}parse {\bf L}ow-degree {\bf IM}plicits ({\bf 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.