Class Plane
Summary
Specifies a plane in 3D space.
Description
This plane is an affine 2D subspace of the 3D space, meaning that its sides extend to infinity, and it does not necessarily pass through the origin.
Specifies a plane in 3D space.
This plane is an affine 2D subspace of the 3D space, meaning that its sides extend to infinity, and it does not necessarily pass through the origin.
 Plane | Specifies a plane in 3D space. |
 normal | The direction this plane is facing at. |
| d | The offset of this plane from the origin. |
 ctor (+6 overloads) | The default constructor does not initialize any members of this class. |
| Set(v1,v2,v3) (+1 overload) | Sets this plane by specifying three points on the plane. |
| ReverseNormal() | Reverses the direction of the plane normal, while still representing the same set of points. |
| PointOnPlane()[const] | Returns a point on this plane. |
| Transform(transform) (+3 overloads) | Applies a transformation to this plane. |
| IsInPositiveDirection(directionVector)[const] | Tests if the given direction vector points towards the positive side of this plane. |
| IsOnPositiveSide(point)[const] | Tests if the given point lies on the positive side of this plane. |
| ExamineSide(triangle)[const] | Performs a Triangle-Plane intersection test. |
| AreOnSameSide(p1,p2)[const] | Tests if two points are on the same side of this plane. |
| Distance(point)[const] (+3 overloads) | Returns the distance of this plane to the given object. |
| SignedDistance(point)[const] | Returns the signed distance of this plane to the given point. |
| OrthoProjection()[const] | Computes the affine transformation matrix that projects orthographically onto this plane. |
| Project(point)[const] (+5 overloads) | Projects the given object onto this plane orthographically. |
| ObliqueProjection(...)[const] | Computes the affine transformation matrix that projects onto this plane in an oblique (slanted) angle. |
| ObliqueProject(...)[const] | Projects the given point onto this plane in the given oblique projection direction. |
| MirrorMatrix()[const] | Returns the transformation matrix that mirrors objects along this plane. |
| Mirror(point)[const] | Mirrors the given point with respect to this plane. |
| Refract(...)[const] | Refracts the given incident vector along this plane. |
| ClosestPoint(point)[const] (+2 overloads) | Computes the closest point on this plane to the given object. |
| Contains(point,epsilon)[const] (+6 overloads) | Tests if this plane contains the given object. |
| SetEquals(plane,epsilon)[const] | Returns true if this plane represents the same set of points than the other plane. |
| Equals(other,epsilon)[const] | Returns true if the two planes are equal, and their normals are oriented to the same direction. |
| IsParallel(plane,epsilon)[const] | Tests if two planes are parallel. |
| DihedralAngle(plane)[const] | Returns the angle of intersection between two planes, in radians. |
| Intersects(...)[const] (+14 overloads) | Computes the intersection of three planes. |
| Clip(line)[const] (+3 overloads) | Clips a line segment against this plane. |
| PassesThroughOrigin(epsilon)[const] | Returns true if this plane contains the origin. |
| GenerateCircle(...)[const] | Returns a circle that lies on this plane. |