IsosurfacingInterpolationScheme_3 Concept Reference

Definition

Refines

DefaultConstructible

Assignable

The concept IsosurfacingInterpolationScheme_3 describes the set of requirements to be fulfilled by the interpolation scheme template parameter of the domain classes CGAL::Isosurfacing::Interpolated_discrete_values_3 and CGAL::Isosurfacing::Interpolated_discrete_gradients_3.

Has models

CGAL::Isosurfacing::Trilinear_interpolation

Public Types
typedef unspecified_type	Geom_traits
	The geometric traits type.
typedef unspecified_type	FT
	The scalar type.
typedef unspecified_type	Point_3
	The 3D point type.
typedef unspecified_type	Vector_3
	The 3D vector type.

Public Member Functions
template<typename Grid, typename ValueRange>
FT	interpolated_value (Point_3 p, Grid g, ValueRange vr) const
	interpolates the value of the value field at the point p using values defined by vr over the grid g.
template<typename Grid, typename GradientRange>
Vector_3	interpolated_gradient (Point_3 p, Grid g, GradientRange gr) const
	interpolates the gradient of the gradient field at the point p using gradients defined by gr over the grid g.

Member Typedef Documentation

Geom_traits

typedef unspecified_type IsosurfacingInterpolationScheme_3::Geom_traits

The geometric traits type.

Must be a model of IsosurfacingTraits_3.

Member Function Documentation

interpolated_gradient()

template<typename Grid, typename GradientRange>

Vector_3 IsosurfacingInterpolationScheme_3::interpolated_gradient	(	Point_3	p,
		Grid	g,
		GradientRange	gr ) const

interpolates the gradient of the gradient field at the point p using gradients defined by gr over the grid g.

Template Parameters

Grid	must be CGAL::Isosurfacing::Cartesian_grid_3
GradientRange	must be a model of RandomAccessRange with Vector_3 as value type

interpolated_value()

template<typename Grid, typename ValueRange>

FT IsosurfacingInterpolationScheme_3::interpolated_value	(	Point_3	p,
		Grid	g,
		ValueRange	vr ) const

interpolates the value of the value field at the point p using values defined by vr over the grid g.

Template Parameters

Grid	must be CGAL::Isosurfacing::Cartesian_grid_3
ValueRange	must be a model of RandomAccessRange with FT as value type