math.geom2d.curve
Interface Curve2D

All Superinterfaces:

java.lang.Cloneable, GeometricObject2D, Shape2D

All Known Subinterfaces:

Boundary2D, CircleLine2D, CircularShape2D, CirculinearBoundary2D, CirculinearContinuousCurve2D, CirculinearContour2D, CirculinearCurve2D, CirculinearCurveSet2D<T>, CirculinearElement2D, CirculinearRing2D, Conic2D, ContinuousCurve2D, ContinuousOrientedCurve2D, Contour2D, CurveSet2D<T>, EllipseArcShape2D, EllipseShape2D, LinearElement2D, LinearShape2D, OrientedCurve2D, SmoothContour2D, SmoothCurve2D, SmoothOrientedCurve2D

All Known Implementing Classes:

AbstractContinuousCurve2D, AbstractLine2D, AbstractSmoothCurve2D, BoundaryPolyCirculinearCurve2D, BoundaryPolyCurve2D, Circle2D, CircleArc2D, CirculinearContourArray2D, CirculinearCurveArray2D, ContourArray2D, CubicBezierCurve2D, CurveArray2D, Ellipse2D, EllipseArc2D, GenericCirculinearRing2D, Hyperbola2D, HyperbolaBranch2D, HyperbolaBranchArc2D, InvertedRay2D, Line2D, LineArc2D, LinearCurve2D, LinearRing2D, LineSegment2D, Parabola2D, ParabolaArc2D, PolyCirculinearCurve2D, PolyCubicBezierCurve2D, PolyCurve2D, Polyline2D, PolyOrientedCurve2D, QuadBezierCurve2D, Ray2D, StraightLine2D

public interface Curve2D
extends Shape2D, java.lang.Cloneable

Interface for piecewise smooth curves, like polylines, conics, straight lines, line segments...

Several interfaces exist to use more explicit type of curves: ContinuousCurve2D for finite or infinite continuous curves, SmoothCurve2D for curves that admit a derivative (and hence a tangent, a curvature...) at each point, OrientedCurve2D that are used to define the boundary of a domain...

Points on curves are identified using curve parameterization. This parameterization is left to the implementation.

Field Summary

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Method Summary

java.awt.Shape	asAwtShape()
CurveSet2D<? extends Curve2D>	clip(Box2D box) When a curve is clipped, the result is a set of curves.
Curve2D	clone() Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.
java.util.Collection<? extends ContinuousCurve2D>	continuousCurves() Returns the collection of continuous curves which constitute this curve.
void	draw(java.awt.Graphics2D g2) Draws the curve on the given Graphics2D object.
Point2D	firstPoint() Returns the first point of the curve.
double	getT0() Deprecated. replaced by t0() (since 0.11.1).
double	getT1() Deprecated. replaced by t1() (since 0.11.1).
java.util.Collection<Point2D>	intersections(LinearShape2D line) Returns the intersection points of the curve with the specified line.
boolean	isSingular(double pos) Checks if a point is singular.
Point2D	lastPoint() Returns the last point of the curve.
Point2D	point(double t) Returns the point located at the given position on the curve.
double	position(Point2D point) Computes the position of the point on the curve.
double	project(Point2D point) Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point.
Curve2D	reverse() Returns the curve with same trace on the plane with parameterization in reverse order.
java.util.Collection<Point2D>	singularPoints() Returns a set of singular points, i. e. which do not locally admit derivative.
Curve2D	subCurve(double t0, double t1) Returns a portion of the original curve, delimited by two positions on the curve.
double	t0() Get value of parameter t for the first point of the curve.
double	t1() Get value of parameter t for the last point of the curve.
Curve2D	transform(AffineTransform2D trans) Transforms the curve by an affine transform.
java.util.Collection<Point2D>	vertices() Returns the set of vertices for this curve.

Methods inherited from interface math.geom2d.Shape2D

boundingBox, contains, contains, distance, distance, isBounded, isEmpty

Methods inherited from interface math.geom2d.GeometricObject2D

almostEquals

Method Detail

t0

double t0()

Get value of parameter t for the first point of the curve. It can be -Infinity, in this case the piece of curve is not bounded.

getT0

@Deprecated
double getT0()

Deprecated. replaced by t0() (since 0.11.1).

t1

double t1()

Get value of parameter t for the last point of the curve. It can be +Infinity, in this case the piece of curve is not bounded.

getT1

@Deprecated
double getT1()

Deprecated. replaced by t1() (since 0.11.1).

point

Point2D point(double t)

Returns the point located at the given position on the curve. If the parameter lies outside the definition range, the parameter corresponding to the closest bound is used instead. This method can be used to draw an approximated outline of a curve, by selecting multiple values for t and drawing lines between them.

firstPoint

Point2D firstPoint()

Returns the first point of the curve. It must returns the same result as point(t0()).

Returns:

the first point of the curve

See Also:

t0(), point(double)

lastPoint

Point2D lastPoint()

Returns the last point of the curve. It must returns the same result as this.point(this.t1()).

Returns:

the last point of the curve.

See Also:

t1(), point(double)

singularPoints

java.util.Collection<Point2D> singularPoints()

Returns a set of singular points, i. e. which do not locally admit derivative.

Returns:

a collection of Point2D.

See Also:

vertices()

vertices

java.util.Collection<Point2D> vertices()

Returns the set of vertices for this curve. Vertices can be either singular points, or extremities.

Returns:

a collection of Point2D.

See Also:

singularPoints()

isSingular

boolean isSingular(double pos)

Checks if a point is singular.

Parameters:

pos - the position of the point on the curve

Returns:

true if the point at this location is singular

position

double position(Point2D point)

Computes the position of the point on the curve. If the point does not belong to the curve, return Double.NaN. It is complementary to the point(double) method.

Parameters:

point - a point belonging to the curve

Returns:

the position of the point on the curve

See Also:

point(double)

project

double project(Point2D point)

Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point. This function should always returns a valid value.

Parameters:

point - a point to project

Returns:

the position of the closest orthogonal projection

intersections

java.util.Collection<Point2D> intersections(LinearShape2D line)

Returns the intersection points of the curve with the specified line. The length of the result array is the number of intersection points.

reverse

Curve2D reverse()

Returns the curve with same trace on the plane with parameterization in reverse order.

continuousCurves

java.util.Collection<? extends ContinuousCurve2D> continuousCurves()

Returns the collection of continuous curves which constitute this curve.

Returns:

a collection of continuous curves.

subCurve

Curve2D subCurve(double t0,
                 double t1)

Returns a portion of the original curve, delimited by two positions on the curve.

Parameters:

t0 - position of the start of the sub-curve

t1 - position of the end of the sub-curve

Returns:

the portion of original curve comprised between t0 and t1.

transform

Curve2D transform(AffineTransform2D trans)

Transforms the curve by an affine transform. The result is an instance of Curve2D.

Specified by:

transform in interface Shape2D

Parameters:

trans - an affine transform

Returns:

the transformed shape

clip

CurveSet2D<? extends Curve2D> clip(Box2D box)

When a curve is clipped, the result is a set of curves.

Specified by:

clip in interface Shape2D

Parameters:

box - the clipping box

Returns:

the clipped shape

asAwtShape

java.awt.Shape asAwtShape()

Returns:

the shape corresponding to this curve

Since:

0.7.1

draw

void draw(java.awt.Graphics2D g2)

Draws the curve on the given Graphics2D object.

Specified by:

draw in interface Shape2D

Parameters:

g2 - the graphics to draw the curve in

Since:

0.6.3

clone

Curve2D clone()

Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.

Returns:

the cloned curve