Class BezierCurve
Represents a Bezier curve.
public class BezierCurve : IShape
- Inheritance
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BezierCurve
- Implements
- Inherited Members
Constructors
BezierCurve(IList<Point>)
Constructs new bezier curve.
public BezierCurve(IList<Point> controlPoints)
Parameters
Fields
curveCollinearityEpsilon
If the distance between a point and a line is less than this constant, then we consider the point lies on the line.
public static double curveCollinearityEpsilon
Field Value
distanceToleranceManhattan
The Manhattan distance is used in the case when either the line ((x1, y1), (x4, y4)) passes through both (x2, y2) and (x3, y3) or (x1, y1) = (x4, y4).
public static double distanceToleranceManhattan
Field Value
Remarks
The Manhattan distance is used in the case when either the line ((x1, y1), (x4, y4)) passes through both (x2, y2) and (x3, y3) or (x1, y1) = (x4, y4). The essential observation is that when the curve is a uniform speed straight line from end to end, the control points are evenly spaced from beginning to end. Our measure of how far we deviate from that ideal uses distance of the middle controls: point 2 should be halfway between points 1 and 3; point 3 should be halfway between points 2 and 4.
distanceToleranceSquare
In the case when neither the line ((x1, y1), (x4, y4)) passes through both (x2, y2) and (x3, y3) nor (x1, y1) = (x4, y4) we use the square of the sum of the distances mentioned below in compare to this field as the criterion of good approximation.
public static double distanceToleranceSquare
Field Value
Remarks
In the case when neither the line ((x1, y1), (x4, y4)) passes through both (x2, y2) and (x3, y3) nor (x1, y1) = (x4, y4) we use the square of the sum of the distances mentioned below in compare to this field as the criterion of good approximation.
- The distance between the line and (x2, y2)
- The distance between the line and (x3, y3)
Methods
GetBasePoints()
public virtual IList<Point> GetBasePoints()
Returns
GetPiecewiseLinearApproximation()
You can adjust precision of the approximation by varying the following parameters: curveCollinearityEpsilon , distanceToleranceSquare , distanceToleranceManhattan.
public virtual IList<Point> GetPiecewiseLinearApproximation()