INTERPOLATION ON A TRIANGULATED 3D SURFACE
INTERPOLATION ON A TRIANGULATED 3D SURFACE
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DOI：
10.1016/0021-9991(89)90103-4
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发表时间：
1989-02-01
影响因子：
4.1
通讯作者：
HUISKAMP, G
中科院分区：
文献类型：
--
作者：
OOSTENDORP, TF;VANOOSTEROM, A;HUISKAMP, G
将平面上矩形网格上标量函数的插值方法推广到任意形状的封闭三维三角剖分曲面上。考虑两种变体。第一个约束函数的拉普拉斯算子在函数值未知的点处为零。第二个最小化的拉普拉斯在所有点的表面考虑。这两种变体的一些说明性的例子中给出的应用程序显示的电位分布的电体积导体的边界表面上。
An interpolation method for scalar functions on a rectangular grid on a planar surface is extended to the interpolation function on a closed three-dimensional triangulated surface of arbitrary shape. Two variants are considered. The first one constrains the Laplacian of the function to be zero at points where the function values are unknown. The second one minimizes the Laplacian at all points of the surface considered. Some illustrative examples of both variants are given in applications to the display of potential distributions on the boundary surface of an electrical volume conductor.