Surface Fitting Based on C1 Natural Neighbor Interpolation

Abstract

Abstract: C1 natural neighbor interpolation can be realized when C0 non-Sibsonian interpolation is introduced in the Bernstein-Bézier surface representation of a cubic simplex. The principle and properties of C1 natural neighbor interpolation are described and the surface fitting is given. The Voronoi diagram can adjust the spatial discrepancy caused by irregular data and data of varying density, so even for the scattered data, C1 natural neighbor interpolation can get accurate fitting results.

Key words: computer application, surface fitting, C1 natural neighbor interpolation, Bernstein-Bézier polynomial

NIE Zhi-feng, ZHOU Shen-jie, WANG Kai, KONG Sheng-li. Surface Fitting Based on C1 Natural Neighbor Interpolation[J]. Journal of Graphics.

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Surface Fitting Based on C1 Natural Neighbor Interpolation

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