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| Geometric method and characteristic of a new natural neighbour interpolation using voronoi diagram |
| Revised:June 17, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20053071 |
| KeyWord:NEM,Natural Neighbour interpolation,Sibson interpolation,non-Sibsonian interpolation,Voronoi Diagram |
| ZHOU Xiao-ping ZHOU Rui-zhong~* |
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| Abstract: |
| The Natural Neighbour interpolation based on Voronoi Diagram is the mathematical base of Natural Element Method (NEM), it is a new geometric interpolation method and to be constructed by a special procedure differences from traditional method, meanwhile it possesses some advantages. The Sibson interpolation and non-Sibnian interpolation based on Natural Neighbour relation are introduced, then the comparison about discrete scheme and general character of nets, support of shaping function, natural boundary condition, spatial dimensional extension and computing quantity, and etc. with FEM and EFG interpolation are studied. |
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