\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D and Surface Function Interpolation

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Reference Manual
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2D and Surface Function Interpolation Reference |
Concepts |
Interpolation Functions |
Sibson gradient fitting functions | These functions approximate the gradient of a function at a point `p` given natural neighbor coordinates for `p` and its neighbors' function values
Natural Neighbor Coordinate Computation |
CGAL::natural_neighbor_coordinates_2() | The functions `natural_neighbor_coordinates_2()` compute natural neighbor coordinates, also called Sibson's coordinates, for `2D` points provided a two-dimensional triangulation and a query point in the convex hull of the vertices of the triangulation
CGAL::regular_neighbor_coordinates_2() | The functions `regular_neighbor_coordinates_2()` compute natural neighbor coordinates, also called Sibson's coordinates, for weighted `2D` points provided a two-dimensional regular triangulation and a (weighted) query point inside the convex hull of the vertices of the triangulation
Surface Neighbor and Surface Neighbor Coordinate Computation |
3D Surface Neighbor Coordinates Functions | The functions `surface_neighbor_coordinates_3()` compute natural neighbor coordinates for surface points associated to a finite set of sample points issued from the surface
3D Surface Neighbors Functions | Given a set of sample points issued from a surface and a query point `p`, the functions `surface_neighbors_3()` compute the neighbors of `p` on the surface within the sample points