Proceedings Eurographics/IEEE VGTC Symposium Point-Based Graphics (2005)
Stony Brook, NY, USA
June 20, 2005 to June 21, 2005
F. Cazals , INRIA, France
We define a new filtration of the Delaunay triangulation of a finite set of points in /spl Ropf//sup d/, similar to the alpha shape filtration. The new filtration is parameterized by a local scale parameter instead of the global scale parameter in alpha shapes. Since our approach shares many properties with the alpha shape filtration and the local scale parameter conforms to the local geometry we call it conformal alpha shape filtration. The local scale parameter is motivated from applications and previous algorithms in surface reconstruction. We show how conformal alpha shapes can be used for surface reconstruction of non-uniformly sampled surfaces, which is not possible with alpha shapes.
object representation, Delaunay triangulation, conformal alpha shape filtration, local scale parameter, surface reconstruction, curve representation
J. Giesen, F. Cazals, A. Zomorodian and M. Pauly, "Conformal alpha shapes," Point-Based Graphics 2005(PBG), Stony Brook, NY, USA, 2005, pp. 55-61.