Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 > Class Template Reference

A class for polyhedron–polyhedron intersection in 3d space. More...

#include <dumux/geometry/geometryintersection.hh>

Description

template<class Geometry1, class Geometry2, class Policy>
class Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >

A class for polyhedron–polyhedron intersection in 3d space.

Public Types
using	ctype = typename Policy::ctype
using	Point = typename Policy::Point
using	Intersection = typename Policy::Intersection

Static Public Member Functions
template<class P = Policy, std::enable_if_t< P::dimIntersection==3, int > = 0>
static bool	intersection (const Geometry1 &geo1, const Geometry2 &geo2, Intersection &intersection)
	Colliding two convex polyhedra. More...
template<class P = Policy, std::enable_if_t< P::dimIntersection !=3, int > = 0>
static bool	intersection (const Geometry1 &geo1, const Geometry2 &geo2, Intersection &intersection)
	Colliding segment and convex polyhedron. More...

Member Typedef Documentation

ctype

template<class Geometry1 , class Geometry2 , class Policy >

using Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >::ctype = typename Policy::ctype

Intersection

template<class Geometry1 , class Geometry2 , class Policy >

using Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >::Intersection = typename Policy::Intersection

Point

template<class Geometry1 , class Geometry2 , class Policy >

using Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >::Point = typename Policy::Point

Member Function Documentation

intersection() [1/2]

template<class Geometry1 , class Geometry2 , class Policy >

template<class P = Policy, std::enable_if_t< P::dimIntersection==3, int > = 0>

static bool Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >::intersection ( const Geometry1 &  geo1, const Geometry2 &  geo2, Intersection &  intersection  )

inlinestatic

Colliding two convex polyhedra.

Note

First we find the vertex candidates for the intersection region as follows: Add vertices that are inside the other geometry for both geometries Add all intersection points of edges (codim 2) with the other tetrahedron's faces triangle Remove duplicate points from the list Return a triangulation of the polyhedron formed by the convex hull of the point cloud

Parameters

geo1/geo2	The geometries to intersect
intersection	Container to store the corner points of the polygon (as convex hull)

Note

This overload is used when polyhedron-like intersections are seeked

intersection() [2/2]

template<class Geometry1 , class Geometry2 , class Policy >

template<class P = Policy, std::enable_if_t< P::dimIntersection !=3, int > = 0>

static bool Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 3 >::intersection ( const Geometry1 &  geo1, const Geometry2 &  geo2, Intersection &  intersection  )

inlinestatic

Colliding segment and convex polyhedron.

Parameters

geo1/geo2	The geometries to intersect
intersection	Container to store the intersection result

Todo:

implement overloads for polygon-, segment- or point-like intersections

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The documentation for this class was generated from the following file:

• geometryintersection.hh