\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.6.1 - 2D and Surface Function Interpolation
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Reference Manual
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[detail level 123]
\2D and Surface Function Interpolation Reference
 oConcepts
 oInterpolation Functions
 |\Sibson gradient fitting functionsThese functions approximate the gradient of a function at a point p given natural neighbor coordinates for p and its neighbors' function values
 oNatural Neighbor Coordinate Computation
 |oCGAL::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
  o3D Surface Neighbor Coordinates FunctionsThe 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 FunctionsGiven 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