Point-based Modelling and Rendering using Radial Basis Functions


Abstract:

A point-based 3D surface modelling technique combined with a new point rendering technique is presented. Surfaces are modelled by specifying a set of unorganized points on the surface. An implicit representation of the surface through these points minimizing the bending energy is then calculated using radial basis functions while guaranteeing a specifiable continuity. The surface is directly rendered view-dependently in an output-sensitive multiresolution manner without the creation of a polygonal mesh representation. This is done by the local generation of 3D surface points for the rendering adapted to the output device. A new texturing technique using the material properties of the points is presented.

Keywords:

Approximation of surfaces and contours, Spline and piecewise polynomial approximation, Picture/Image Generation, Display algorithms, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations
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Related Publications

[1] Patrick Reuter, Ireneusz Tobor, Christophe Schlick, and Sébastien Dedieu. Point-based modelling and rendering using radial basis functions. In Proceedings of ACM Graphite, pages 111-118, 2003. Held in Melbourne, Australia.
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[2] Ireneusz Tobor, Patrick Reuter, Laurent Grisoni, and Christophe Schlick. Visualisation par surfels. Actes des 13ièmes Journées de l'Association Française d'Informatique Graphique, pages 193-204, 2000. Held in Grenoble, France.
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  7/10/2003