Point-based geometry representations and their splat-based
generalizations have become a suitable technique both for modeling and
rendering complex 3D shapes. So, it seems interesting to convert other
kind of models to a point or splat-based representations.
In this work, we present an approach to convert a parametric surface
to an elliptical splat-based representation. Although this conversion
supposes a loss of information going from an
analytical to an approximate model, it will allow to locally modify
zones with complex features, to mix surface and splat-based models and
to take advantage of the existing point-based rendering methods.
The presented approach works in the parametric space and performs an
adaptive sampling based on the surface curvature and a given error
tolerance. The goal is to obtain an optimized set of elliptical splats
that completely covers the surface. Two strategies are presented, one
based on a quadrangular subdivision of the parametric space and the
other on power Voronoi diagrams. Finally, some open problems are
CitationAyala, D., Pla, N., Vigo, M. "Splat representation of parametric surfaces". 2005.
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