Class Distance

Namespace

MathAssertions.Geometry3D

Assembly

MathAssertions.dll

Closest-point distance functions from a Vector3 to selected geometry primitives. Implemented as extension methods so call sites read naturally (point.DistanceFrom(plane), point.DistanceFrom(segment)).

public static class Distance

Inheritance

object

Distance

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Methods

DistanceFrom(Vector3, LineSegment3D)

Closest-point distance from point to the finite line segment seg. The closest point is either an interior projection (when the projection parameter is in [0, 1]) or the nearer endpoint (otherwise).

public static double DistanceFrom(this Vector3 point, LineSegment3D seg)

Parameters

point Vector3

Point to measure from.

seg LineSegment3D

Segment to measure to.

Returns

double

The unsigned closest-point distance.

Remarks

Reference: Ericson, Real-Time Collision Detection, §5.1.2.

DistanceFrom(Vector3, Triangle3D)

Closest-point distance from point to triangle. The closest point is on the triangle's interior, on one of its three edges, or at one of its three vertices; the implementation classifies which Voronoi region contains point's projection and returns the corresponding distance.

public static double DistanceFrom(this Vector3 point, Triangle3D triangle)

Parameters

point Vector3

Point to measure from.

triangle Triangle3D

Triangle to measure to.

Returns

double

The unsigned closest-point distance.

Remarks

Reference: Ericson, Real-Time Collision Detection, §5.1.5. The barycentric classification is the standard one; for degenerate triangles the result may be NaN when the projection lands in the interior path (the underlying division by zero produces NaN), but degenerate inputs that exit through the vertex or edge branches return a finite distance. Callers needing a well-defined verdict on degenerate geometry should guard with IsDegenerate(Triangle3D, double).

DistanceFrom(Vector3, Plane)

Perpendicular distance from point to plane. Assumes the plane normal is unit-length (the standard Plane convention from Plane.CreateFromVertices); otherwise the result is scaled by the normal's magnitude.

public static double DistanceFrom(this Vector3 point, Plane plane)

Parameters

point Vector3

Point to measure from.

plane Plane

Plane to measure to.

Returns

double

The unsigned perpendicular distance.