CGAL 5.3 - 2D and Surface Function Interpolation

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Jean-Daniel Boissonnat and Julia Flötotto. A local coordinate system on a surface. In Proc. 7th ACM Symposium on Solid Modeling and Applications, 2002.


J. L. Brown. Systems of coordinates associated with points scattered in the plane. Comput. Aided Design, 14:547–559, 1997.


G. Farin. Surfaces over Dirichlet tesselations. Comput. Aided Geom. Design, 7:281–292, 1990.


Julia Flötotto. A coordinate system associated to a point cloud issued from a manifold: definition, properties and applications. Thèse de doctorat en sciences, Université de Nice-Sophia Antipolis, France, 2003.


Hisamoto Hiyoshi and Kokichi Sugihara. Voronoi-based interpolation with higher continuity. In Proc. 16th Annu. ACM Sympos. Comput. Geom., pages 242–250, 2000.


B. Piper. Properties of local coordinates based on dirichlet tesselations. Computing Suppl., 8:227–239, 1993.


R. Sibson. A vector identity for the Dirichlet tesselation. Math. Proc. Camb. Phil. Soc., 87:151–155, 1980.


R. Sibson. A brief description of natural neighbour interpolation. In Vic Barnet, editor, Interpreting Multivariate Data, pages 21–36. John Wiley & Sons, Chichester, 1981.