Class CurveSegment

The base class for CurveSegments. A CurveSgment does not know its own start point. For the first CurveSegment in a sequence the start point is saved in the CurvePart belonging to the segment. The start point for the CurveSegment with index i is the last vertex in the CurveSegent[i-1]'s list of vertices.

Inheritance

System.Object

CurveSegment

BezierConicSegment

BezierCubicSegment

LinearSegment

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()

Namespace: Fusee.Math.Core

Assembly: Fusee.Math.Core.dll

Syntax

public abstract class CurveSegment

Fields

Vertices

The vertices of a CurveSegment represented by float3s.

Declaration

public IList<float3> Vertices

Field Value

Type	Description
System.Collections.Generic.IList<float3>

Methods

CalcAdaptivePolylineWAngle(float3, Int32, Int32)

Returns a polygonal chain, representing the curve segment. Intermediate points are calculated adaptively.

Declaration

public IEnumerable<float3> CalcAdaptivePolylineWAngle(float3 startPoint, int angle, int degree)

Parameters

Type	Name	Description
float3	startPoint	The segment's starting point
System.Int32	angle	Determines how far the angle between the two vectors(start point, random point and end point) may vary from 180°
System.Int32	degree	The degree of the curve: 1 for linear, 2 for conic, 3 for cubic

Returns

Type	Description
System.Collections.Generic.IEnumerable<float3>

CalcAdaptivePolylineWArcreage(float3, Single, Int32)

Returns a polygonal chain, representing the curve segment. Intermediate points are calculated adaptively.

Declaration

public IEnumerable<float3> CalcAdaptivePolylineWArcreage(float3 startPoint, float acreage, int degree)

Parameters

Type	Name	Description
float3	startPoint	The segment's starting point
System.Single	acreage	Determines a maximal acreage for the triangle created from start point random point and end point.
System.Int32	degree	The degree of the curve: 1 for linear, 2 for conic, 3 for cubic

Returns

Type	Description
System.Collections.Generic.IEnumerable<float3>

CalcPoint(Single, float3[])

Calculates a point on a bézier curve using De Casteljau's algorithm.

Declaration

public float3 CalcPoint(float t, float3[] vertices)

Parameters

Type	Name	Description
System.Single	t	Bézier curves are polynominals of t. t is element of [0, 1]
float3[]	vertices	All control points that represent the curve, incl. start and end point

Returns

Type	Description
float3

CalcUniformPolyline(float3, Int32, Int32)

Returns a polygonal chain, representing the curve segment. Intermediate points are calculated with uniform values of t.

Declaration

public virtual IEnumerable<float3> CalcUniformPolyline(float3 startPoint, int segmentsPerCurve, int degree)

Parameters

Type	Name	Description
float3	startPoint	The segment's starting point.
System.Int32	segmentsPerCurve	The number of segments per curve.
System.Int32	degree	The degree of the curve: 1 for linear, 2 for conic, 3 for cubic.

Returns

Type	Description
System.Collections.Generic.IEnumerable<float3>

SplitCurve(Single, float3[], ref List<float3>, ref List<float3>)

Splits a curve using De Casteljau's algorithm.

Declaration

public void SplitCurve(float t, float3[] vertices, ref List<float3> leftCurve, ref List<float3> rightCurve)

Parameters

Type	Name	Description
System.Single	t	Bézier curves are polynominals of t. t is element of [0, 1].
float3[]	vertices	All control points that represent the curve, incl. start and end point.
System.Collections.Generic.List<float3>	leftCurve	The left new curve.
System.Collections.Generic.List<float3>	rightCurve	The right new curve.