Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

Approximating bounded, non-orientable surfaces from points

: Adamson, A.; Alexa, M.


Giannini, F. ; Institute of Electrical and Electronics Engineers -IEEE-:
International Conference on Shape Modeling and Applications 2004. Proceedings
Los Alamitos, Calif.: IEEE Computer Society Press, 2004
ISBN: 0-7695-2075-8
pp.243-250; 393
International Conference on Shape Modeling and Applications (SMA) <6, 2004, Genova>
Conference Paper
Fraunhofer IGD ()
point sampled geometry; surface representation; surface reconstruction; ray casting

We present an approach to surface approximation from points that allows reconstructing surfaces with boundaries, including globally non-orientable surfaces. The surface is defined implicitly using directions of weighted co-variances and weighted averages of the points. Specifically, a point belongs to the surface, if its direction to the weighted average has no component into the direction of smallest covariance. For bounded surfaces, we require in addition that any point on the surface is close to the weighted average of the input points. We compare this definition to alternatives and discuss the details and parameter choices. Points on the surface can be determined by intersection computations. We show that the computation is local and, therefore, no globally consistent orientation of normals is needed. Continuity of the surfaces is not affected by the particular choice of local orientation. We demonstrate our approach by rendering several bounded (and non-orientable) surfaces using ray casting.