CGAL::Isosurfacing::Trilinear_interpolation< Grid > Class Template Reference

#include <CGAL/Isosurfacing_3/interpolation_schemes_3.h>

Definition

template<typename Grid>
class CGAL::Isosurfacing::Trilinear_interpolation< Grid >

Is model of

IsosurfacingInterpolationScheme_3

The class Trilinear_interpolation is the standard interpolation scheme to define continuous fields of scalar values and gradients from data defined only at the vertices of a Cartesian grid.

Template Parameters

Grid	must be CGAL::Isosurfacing::Cartesian_grid_3<GeomTraits>, with GeomTraits a model of IsosurfacingTraits_3

Public Types
using	Geom_traits = typename Grid::Geom_traits
using	FT = typename Geom_traits::FT
using	Point_3 = typename Geom_traits::Point_3
using	Vector_3 = typename Geom_traits::Vector_3
using	Iso_cuboid_3 = typename Geom_traits::Iso_cuboid_3

Public Member Functions
FT	interpolated_value (const Point_3 &p, const Grid &g, const std::vector< FT > &values) const
	interpolates the values at a given point using trilinear interpolation.
Vector_3	interpolated_gradient (const Point_3 &p, const Grid &g, const std::vector< Vector_3 > &gradients) const
	interpolates the gradients at a given point using trilinear interpolation.

Member Function Documentation

interpolated_gradient()

template<typename Grid >

Vector_3 CGAL::Isosurfacing::Trilinear_interpolation< Grid >::interpolated_gradient	(	const Point_3 &	p,
		const Grid &	g,
		const std::vector< Vector_3 > &	gradients
	)		const

interpolates the gradients at a given point using trilinear interpolation.

Parameters

p	the point at which to interpolate the gradients
g	the grid
gradients	the continuous field of vector values, defined over the geometric span of g

interpolated_value()

template<typename Grid >

FT CGAL::Isosurfacing::Trilinear_interpolation< Grid >::interpolated_value	(	const Point_3 &	p,
		const Grid &	g,
		const std::vector< FT > &	values
	)		const

interpolates the values at a given point using trilinear interpolation.

Parameters

p	the point at which values are interpolated
g	the grid
values	the continuous field of scalar values, defined over the geometric span of g