Abstract
The construction procedures of shape functions in the moving least-square method (MLS) are complicated, in which many matrix multiplication and matrix inversion are included, so that the computational efficiency is low. Moreover, the choices of some parameters are influenced by the artificial factors, and the computational stability is poor. However, the construction procedures of shape functions in natural neighbour interpolation (NNI) are based on Voronoi diagram and its dual Delaunay triangulation, computational results are only related with the locations of the discretized nodes, and the computational stability is good. In order to study the differences in the computational accuracy, the computational efficiency, and the adaptability to the fitted objects between MLS-based shape functions andC1natural neighbour interpolant, the two higher-order continuous shape functions are introduced in surface fitting.
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