# Class BezierCurve

java.lang.Object
com.itextpdf.kernel.geom.BezierCurve
All Implemented Interfaces:
`IShape`

public class BezierCurve extends Object implements IShape
Represents a Bezier curve.
• ## Field Summary

Fields
Modifier and Type
Field
Description
`static double`
`curveCollinearityEpsilon`
If the distance between a point and a line is less than this constant, then we consider the point lies on the line.
`static double`
`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).
`static double`
`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.
• ## Constructor Summary

Constructors
Constructor
Description
`BezierCurve(List<Point> controlPoints)`
Constructs new bezier curve.
• ## Method Summary

Modifier and Type
Method
Description
`List<Point>`
`getBasePoints()`
Treat base points as the points which are enough to construct a shape.
`List<Point>`
`getPiecewiseLinearApproximation()`
You can adjust precision of the approximation by varying the following parameters: `curveCollinearityEpsilon`, `distanceToleranceSquare`, `distanceToleranceManhattan`.

### Methods inherited from class java.lang.Object

`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`
• ## Field Details

• ### curveCollinearityEpsilon

public static double curveCollinearityEpsilon
If the distance between a point and a line is less than this constant, then we consider the point lies on the line.
• ### distanceToleranceSquare

public static double 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. 1. The distance between the line and (x2, y2) 2. The distance between the line and (x3, y3)
• ### distanceToleranceManhattan

public static double 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). 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.
• ## Constructor Details

• ### BezierCurve

public BezierCurve (List<Point> controlPoints)
Constructs new bezier curve.
Parameters:
`controlPoints` - Curve's control points.
• ## Method Details

• ### getBasePoints

public  getBasePoints()
Treat base points as the points which are enough to construct a shape. E.g. for a bezier curve they are control points, for a line segment - the start and the end points of the segment.
Specified by:
`getBasePoints` in interface `IShape`
Returns:
Ordered `List` consisting of shape's base points.
• ### getPiecewiseLinearApproximation

public  getPiecewiseLinearApproximation()
You can adjust precision of the approximation by varying the following parameters: `curveCollinearityEpsilon`, `distanceToleranceSquare`, `distanceToleranceManhattan`.
Returns:
`List` containing points of piecewise linear approximation for this bezier curve.