Class Projection3

Namespace: GeometryHelper.Core

Assembly: GeometryHelper.dll

Provides static methods for geometric projections in 3D space.

Every ProjectTo... method answers the same question: which point of the target shape is closest to the supplied point. For a bounded shape the answer is clamped to the shape, so projecting onto a segment never returns a point past its endpoints, and projecting onto a triangle never returns a point outside its edges.

public static class Projection3

Inheritance: object

Projection3

Inherited Members: object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Remarks

A face is a flat region with holes in it, so the nearest point of one is not simply the foot of the perpendicular: a point over a hole is over nothing, and the nearest material is the rim of that hole. The reading matches ProjectToPolygon(GeoPolygon3, GeoPoint3), which answers with a point of the region where there is region under the foot and a point of the outline where there is not.

Methods

GetShortestLineTo(GeoLine3, GeoLine3): Finds the shortest segment connecting a point on one line segment to a point on another, using the default tolerance.

GetShortestLineTo(GeoLine3, GeoLine3, LineExtension): Finds the shortest segment connecting two line segments, reading either or both as the infinite line carrying it, using the default tolerance.

GetShortestLineTo(GeoLine3, GeoLine3, LineExtension, Tolerance): Finds the shortest segment connecting two line segments, reading either or both as the infinite line carrying it, within a tolerance.

GetShortestLineTo(GeoLine3, GeoLine3, Tolerance): Finds the shortest segment connecting a point on one line segment to a point on another, within a tolerance.

GetShortestLineTo(GeoLine3, GeoTriangle3): Gets the shortest segment joining a segment to a triangle.

GetShortestLineTo(GeoLine3, GeoTriangle3, Tolerance): Gets the shortest segment joining a segment to a triangle, within a tolerance.

GetShortestLineTo(GeoRay3, GeoLine3): Gets the shortest segment joining a ray to a line segment.

GetShortestLineTo(GeoRay3, GeoLine3, Tolerance): Gets the shortest segment joining a ray to a line segment, within a tolerance.

GetShortestLineTo(GeoRay3, GeoTriangle3): Gets the shortest segment joining a ray to a triangle.

GetShortestLineTo(GeoRay3, GeoTriangle3, Tolerance): Gets the shortest segment joining a ray to a triangle, within a tolerance.

GetShortestLineTo(GeoSolid3, GeoLine3): Gets the shortest segment joining a solid to a segment.

GetShortestLineTo(GeoSolid3, GeoLine3, Tolerance): Gets the shortest segment joining a solid to a segment, within a tolerance.

GetShortestLineTo(GeoSolid3, GeoPoint3): Gets the shortest segment joining a solid to a point.

GetShortestLineTo(GeoSolid3, GeoPoint3, Tolerance): Gets the shortest segment joining a solid to a point, within a tolerance.

GetShortestLineTo(GeoSolid3, GeoRay3): Gets the shortest segment joining a solid to a ray.

GetShortestLineTo(GeoSolid3, GeoRay3, Tolerance): Gets the shortest segment joining a solid to a ray, within a tolerance.

GetShortestLineTo(GeoSolid3, GeoSolid3): Gets the shortest segment joining two solids.

GetShortestLineTo(GeoSolid3, GeoSolid3, Tolerance): Gets the shortest segment joining two solids, within a tolerance.

GetShortestLineTo(GeoSolid3, GeoTriangle3): Gets the shortest segment joining a solid to a triangle.

GetShortestLineTo(GeoSolid3, GeoTriangle3, Tolerance): Gets the shortest segment joining a solid to a triangle, within a tolerance.

GetShortestLineTo(GeoTriangle3, GeoTriangle3): Gets the shortest segment joining two triangles.

GetShortestLineTo(GeoTriangle3, GeoTriangle3, Tolerance): Gets the shortest segment joining two triangles, within a tolerance.

Project(GeoVector3, GeoVector3): Projects a vector onto an axis vector.

Project(GeoVector3, GeoVector3, Tolerance): Projects a vector onto an axis vector, within a tolerance.

ProjectOntoPlane(GeoVector3, GeoVector3): Projects a vector onto a plane through the origin, dropping its component along the normal.

ProjectOntoPlane(GeoVector3, GeoVector3, Tolerance): Projects a vector onto a plane through the origin, within a tolerance.

ProjectToCircle(GeoCircle3, GeoPoint3): Projects a point onto the circumference of a circle.

ProjectToCircle(GeoCircle3, GeoPoint3, Tolerance): Projects a point onto the circumference of a circle, within a tolerance.

ProjectToDisc(GeoCircle3, GeoPoint3): Projects a point onto a circular disc, read as a filled surface.

ProjectToDisc(GeoCircle3, GeoPoint3, Tolerance): Projects a point onto a circular disc, read as a filled surface, within a tolerance.

ProjectToFace(GeoFace3, GeoPoint3): Gets the point of a face nearest another point.

ProjectToFace(GeoFace3, GeoPoint3, Tolerance): Gets the point of a face nearest another point, within a tolerance.

ProjectToInfiniteLine(GeoLine3, GeoPoint3): Projects a point onto the infinite line carrying a segment, without clamping.

ProjectToInfiniteLine(GeoLine3, GeoPoint3, Tolerance): Projects a point onto the infinite line carrying a segment, without clamping, within a tolerance.

ProjectToLine(GeoLine3, GeoPoint3): Projects a point onto a line segment, clamped to its endpoints.

ProjectToLine(GeoLine3, GeoPoint3, Tolerance): Projects a point onto a line segment, clamped to its endpoints, within a tolerance.

ProjectToObb(GeoObb3, GeoPoint3): Projects a point onto an oriented box, read as a filled volume.

ProjectToObbSurface(GeoObb3, GeoPoint3): Projects a point onto the surface of an oriented box, never returning a point inside it.

ProjectToPlane(GeoPlane3, GeoPoint3): Projects a point onto a plane.

ProjectToPolygon(GeoPolygon3, GeoPoint3): Projects a point onto a polygon, read as a filled surface.

ProjectToPolygon(GeoPolygon3, GeoPoint3, Tolerance): Projects a point onto a polygon, read as a filled surface, within a tolerance.

ProjectToPolygonBoundary(GeoPolygon3, GeoPoint3): Projects a point onto the boundary of a polygon, ignoring its interior.

ProjectToPolygonBoundary(GeoPolygon3, GeoPoint3, Tolerance): Projects a point onto the boundary of a polygon, ignoring its interior, within a tolerance.

ProjectToPolyline(GeoPolyline3, GeoPoint3): Projects a point onto a polyline, clamped to the chain.

ProjectToPolyline(GeoPolyline3, GeoPoint3, Tolerance): Projects a point onto a polyline, clamped to the chain, within a tolerance.

ProjectToRay(GeoRay3, GeoPoint3): Projects a point onto a ray, clamped to its origin.

ProjectToSolid(GeoSolid3, GeoPoint3): Projects a point onto the surface of a solid.

ProjectToSolid(GeoSolid3, GeoPoint3, Tolerance): Projects a point onto the surface of a solid, within a tolerance.

ProjectToTriangle(GeoTriangle3, GeoPoint3): Projects a point onto a triangle, clamped to its edges.

Table of Contents

Class Projection3

Remarks

Methods