Class BezierCurve

All Implemented Interfaces:

public class BezierCurve extends Object implements IShape
Represents a Bezier curve.
  • 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.
      controlPoints - Curve's control points.
  • Method Details

    • getBasePoints

      public List<Point> 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
      Ordered List consisting of shape's base points.
    • getPiecewiseLinearApproximation

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