Triangle Class Reference

#include <ImFusion/Core/Geometry/Triangle.h>

Class representing a triangle in 3D space. More...

Detailed Description

Class representing a triangle in 3D space.

Unless stated otherwise, all operations that involve comparisons use the same tolerance epsilon as vec3::isApprox (which is 1e-12).

See also

Intersections between geometry primitives can be computed using the sets of free functions Geometry::intersection() and Geometry::intersects().

Public Member Functions
	Triangle (const vec3 &a, const vec3 &b, const vec3 &c)
	Construct triangle from 3 points. If any points are not finite, the triangle will be invalidated (does not intersect, all distances are NAN).
	Triangle (const vec3 *)
	Construct triangle from buffer containing 3 consecutive vec3s (or 9 doubles using the same memory layout)
bool	isApprox (const Triangle &) const
	Comparison using the same epsilon as Eigen::isApprox.
bool	isEquivalent (const Triangle &) const
	Returns if both Triangle objects desribe the same geometrical objects.
const std::array< vec3, 3 > &	points () const
	Access to the vertices.
vec3	normal () const
	Returns the normal of the triangle, positive for clock-wise winding order.
bool	includesPoint (const vec3 &point) const
	Returns if the point is inside the triangle or on the boundary.
vec3	closestPoint (const vec3 &p) const
	Returns the closest point that isInside the triangle.
double	distanceToPoint (const vec3 &p) const
	Returns the distance between p and closestPoint(p)
vec3	toBarycentric (const vec3 &p) const
	See https://en.wikipedia.org/wiki/Barycentric_coordinate_system#Barycentric_coordinates_on_triangles.
vec3	fromBarycentric (const vec3 &a) const
	Returns p=a[0]*v[0]+a[1]*v[1]+a[2]*v[2], where v are the corners of this triangle Note that toBarycentric(fromBarycentric(a))=a only holds if sum(a[i])=1.
std::tuple< const vec3 &, const vec3 & >	otherPoints (int idx) const
	Convenience function for fetching the 2 points not at idx.
bool	operator== (const Triangle &) const
	Exact comparisons of Plane instances.
bool	operator!= (const Triangle &) const

Member Function Documentation

operator==()

bool operator==

(

const Triangle &

)

const

Exact comparisons of Plane instances.

If you instead want to check if the represented geometric structures are the same, use isEquivalent.

isEquivalent()

bool isEquivalent

(

const Triangle &

)

const

Returns if both Triangle objects desribe the same geometrical objects.

Note that unlike all other comparisons provided here this ignores the order of points and therefore the normal direction.

otherPoints()

std::tuple< const vec3 &, const vec3 & > otherPoints

(

int

idx

)

const

Convenience function for fetching the 2 points not at idx.

Example #1: auto [p1,p2] = otherPoints(0) Example #2: auto oppositeEdge = std::make_from_tuple<LineSegment>(otherPoints(0))

---

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

• ImFusion/Core/Geometry/Triangle.h