3d - CGAL 3D函数插值

Question

在 CGAL 手册中，它说 here :

Scattered data interpolation solves the following problem: given measures of a function on a set of data points, the task is to interpolate this function on an arbitrary query point. More formally, let P={p1,…,pn} be a set of n points in R2 or R3 and Φ be a scalar function defined on the convex hull of P. We assume that the function values are known at the points of P, i.e. to each pi∈P, we associate zi=Φ(pi).

然后它继续显示示例，但我发现最接近 3D 插值的示例是示例 Interpolation/surface_neighbor_coordinates_3.cpp。据我所知，这只会找到一个点的相邻顶点。

是否可以采取后续步骤在 3D 中的任意查询点处找到插值函数值？ (具体来说，在一个球体上？)

Answer 1

在same page you quote, at the section "3 Interpolation Methods" ，有插值方法的描述，有两个例子。这可能是你正在寻找的。不过，您必须将这些示例改编为 3D。