A Comparison between Moving Least-Square Method and Natural Neighbour Interpolation

Zhi Feng Nie; Xing Long Li; Heng Heng Wu

doi:10.4028/www.scientific.net/AMR.739.653

Paper Titles

Design and Implementation of Online Virtual University Life System
p.632

Research of Urine Analyzer Based on Color Sensor
p.636

High Speed Desktop Ultra Precision CNC Micro/Meso-Machine
p.640

Research on the Fractal Interpolation Based on High Speed Milling
p.647

A Comparison between Moving Least-Square Method and Natural Neighbour Interpolation
p.653

Flattening the Spectrum of Erbium-Doped Fiber ASE Source Combining with LPFG-Based Filter Technique
p.657

Based on the Industrial Design under the "Harmony" Culture
p.665

Research on the Visual Language of Interior Interface Design
p.669

Analysis on Domestic Factoring Risk Identification Based on Bussiness Processing Technology
p.673

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 739A Comparison between Moving Least-Square Method...

A Comparison between Moving Least-Square Method and Natural Neighbour Interpolation

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 and C¹ natural neighbour interpolant, the two higher-order continuous shape functions are introduced in surface fitting.