Class Intersect

Provides various tools for all kinds of intersection between NURBS and primitive.

Inheritance

System.Object

Intersect

Inherited Members

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Syntax

public class Intersect

Methods

CurveCurve(NurbsBase, NurbsBase, Double)

Computes the intersection between two curves.

Declaration

public static List<CurvesIntersectionResult> CurveCurve(NurbsBase crv1, NurbsBase crv2, double tolerance = 1E-06)

Parameters

Type	Name	Description
NurbsBase	crv1	First curve to intersect.
NurbsBase	crv2	Second curve to intersect.
System.Double	tolerance	Tolerance set per default at 1e-6.

Returns

Type	Description
System.Collections.Generic.List<CurvesIntersectionResult>	If intersection found a collection of CurvesIntersectionResult otherwise the result will be empty.

CurveLine(NurbsBase, Line)

Computes the intersection between a curve and a line.

Declaration

public static List<CurvesIntersectionResult> CurveLine(NurbsBase crv, Line ln)

Parameters

Type	Name	Description
NurbsBase	crv	The curve to intersect.
Line	ln	The line to intersect with.

Returns

Type	Description
System.Collections.Generic.List<CurvesIntersectionResult>	A collection of CurvesIntersectionResult.

CurvePlane(NurbsBase, Plane, Double)

Computes the intersection between a curve and a plane.
https://www.parametriczoo.com/index.php/2020/03/31/plane-and-curve-intersection/

Declaration

public static List<CurvePlaneIntersectionResult> CurvePlane(NurbsBase crv, Plane pl, double tolerance = 1E-06)

Parameters

Type	Name	Description
NurbsBase	crv	The curve to intersect.
Plane	pl	The plane to intersect with the curve.
System.Double	tolerance	Tolerance set per default at 1e-6.

Returns

Type	Description
System.Collections.Generic.List<CurvePlaneIntersectionResult>	If intersection found a collection of CurvePlaneIntersectionResult otherwise the result will be empty.

CurveSelf(NurbsBase, Double)

Computes the self intersections of a curve.

Declaration

public static List<CurvesIntersectionResult> CurveSelf(NurbsBase crv, double tolerance = 1E-06)

Parameters

Type	Name	Description
NurbsBase	crv	The curve for self-intersections.
System.Double	tolerance	Tolerance set per default at 1e-6.

Returns

Type	Description
System.Collections.Generic.List<CurvesIntersectionResult>	If intersection found a collection of CurvesIntersectionResult otherwise the result will be empty.

LineCircle(Circle, Line, out Point3[])

Computes the intersection between a circle and a line.
If the intersection is computed the result points can be 1 or 2 depending on whether the line touches the circle tangentially or cuts through it.
The intersection result false if the line misses the circle entirely.
http://csharphelper.com/blog/2014/09/determine-where-a-line-intersects-a-circle-in-c/

Declaration

public static bool LineCircle(Circle cl, Line ln, out Point3[] pts)

Parameters

Type	Name	Description
Circle	cl	The circle for intersection.
Line	ln	The line for intersection.
Point3[]	pts	Output the intersection points.

Returns

Type	Description
System.Boolean	True if intersection is computed.

LineLine(Line, Line, out Point3, out Point3, out Double, out Double)

Solves the intersection between two lines, assumed as infinite.
Returns as outputs two points describing the minimum distance between the two lines.
Returns false if the segments are parallel.
http://geomalgorithms.com/a07-_distance.html

Declaration

public static bool LineLine(Line ln0, Line ln1, out Point3 pt0, out Point3 pt1, out double t0, out double t1)

Parameters

Type	Name	Description
Line	ln0	The first line.
Line	ln1	The second line.
Point3	pt0	The output point of the first line.
Point3	pt1	The output point of the second line.
System.Double	t0	The parameter on the first line between 0.0 to 1.0
System.Double	t1	The parameter on the second line between 0.0 to 1.0

Returns

Type	Description
System.Boolean	True if the intersection succeed.

LinePlane(Line, Plane, out Point3, out Double)

Finds the unique point intersection of a line and a plane.
This method returns true if intersection return the unique point,
it returns false if the segment is parallel to the plane or lies in plane.
http://geomalgorithms.com/a05-_intersect-1.html

Declaration

public static bool LinePlane(Line line, Plane plane, out Point3 pt, out double t)

Parameters

Type	Name	Description
Line	line	The segment to intersect. Assumed as infinite.
Plane	plane	The plane has to be intersected.
Point3	pt	The point representing the unique intersection.
System.Double	t	The parameter on the line between 0.0 to 1.0

Returns

Type	Description
System.Boolean	True if the intersection success.

PlaneCircle(Plane, Circle, out Point3[])

Computes the intersection between a plane and a circle.
If the intersection is computed the result points can be 1 or 2 depending on whether the plane touches the circle tangentially or cuts through it.
The intersection result false if the plane is parallel to the circle or misses the circle entirely.

Declaration

public static bool PlaneCircle(Plane pl, Circle cl, out Point3[] pts)

Parameters

Type	Name	Description
Plane	pl	The plane for intersection.
Circle	cl	The circle for intersection.
Point3[]	pts	Output the intersection points.

Returns

Type	Description
System.Boolean	True if intersection is computed.

PlanePlane(Plane, Plane, out Line)

Solves the intersection between two planes.
This method returns true if intersection is found, false if the planes are parallel.

Declaration

public static bool PlanePlane(Plane p1, Plane p2, out Line line)

Parameters

Type	Name	Description
Plane	p1	The first plane.
Plane	p2	The second plane.
Line	line	The intersection as Line.

Returns

Type	Description
System.Boolean	True if the intersection success.

PolylinePlane(PolyLine, Plane)

Computes the intersection between a polyline and a plane.
Under the hood, is intersecting each segment with the plane and storing the intersection point into a collection.
If no intersections are found a empty collection is returned.

Declaration

public static List<Point3> PolylinePlane(PolyLine poly, Plane pl)

Parameters

Type	Name	Description
PolyLine	poly	The polyline to intersect with.
Plane	pl	The section plane.

Returns

Type	Description
System.Collections.Generic.List<Point3>	A collection of the unique intersection points.