关键词: 计算机应用, 曲面拟合, C1自然邻近插值, Bernstein-Bé, zier多项式

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