math.geom2d.circulinear

Interface CirculinearCurve2D

All Superinterfaces:

CirculinearShape2D, java.lang.Cloneable, Curve2D, GeometricObject2D, Shape2D

All Known Subinterfaces:

CircleLine2D, CircularShape2D, CirculinearBoundary2D, CirculinearContinuousCurve2D, CirculinearContour2D, CirculinearCurveSet2D<T>, CirculinearElement2D, CirculinearRing2D, LinearElement2D, LinearShape2D

All Known Implementing Classes:

AbstractLine2D, BoundaryPolyCirculinearCurve2D, Circle2D, CircleArc2D, CirculinearContourArray2D, CirculinearCurveArray2D, GenericCirculinearRing2D, InvertedRay2D, Line2D, LineArc2D, LinearCurve2D, LinearRing2D, LineSegment2D, PolyCirculinearCurve2D, Polyline2D, Ray2D, StraightLine2D

public interface CirculinearCurve2D
extends CirculinearShape2D, Curve2D

Circulinear curve are composed of linear and/or circular elements. Linear elements are line segments, straight lines, rays... Circular elements are circles and circle arcs.

Circulinear curves provide a convenient way to store result of geometric operation like buffer computation. Moreover, the set of circulinear curves is stable with respect to circle inversion.

Field Summary

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Method Summary

Modifier and Type	Method and Description
CurveSet2D<? extends CirculinearCurve2D>	clip(Box2D box) Clip the shape with the given box, and returns a new shape.
java.util.Collection<? extends CirculinearContinuousCurve2D>	continuousCurves() Returns the collection of continuous circulinear curves which constitute this curve.
double	length()
double	length(double pos)
CirculinearCurve2D	parallel(double d) Creates a new curve, formed by the points with parameterization: p(t) = c(t) + d*n(t)/|n(t)|, with p(t) being a point of the original curve, n(t) the normal of the curve, and |n| being the norm of n. In the case of a continuous curve formed by several smooth circulinear elements, the parallels of contiguous elements are joined by a circle arc.
double	position(double distance)
CirculinearCurve2D	reverse() Returns the curve with same trace on the plane with parameterization in reverse order.
CirculinearCurve2D	subCurve(double t0, double t1) Returns a portion of the original curve, delimited by two positions on the curve.
CirculinearCurve2D	transform(CircleInversion2D inv) Transforms the shape by a circle inversion.

Methods inherited from interface math.geom2d.circulinear.CirculinearShape2D

buffer

Methods inherited from interface math.geom2d.curve.Curve2D

asAwtShape, clone, draw, firstPoint, getT0, getT1, intersections, isSingular, lastPoint, point, position, project, singularPoints, t0, t1, transform, vertices

Methods inherited from interface math.geom2d.Shape2D

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

Methods inherited from interface math.geom2d.GeometricObject2D

almostEquals

Method Detail

length

double length()

Returns:

the length of the curve

length

double length(double pos)

Returns:

the length from the beginning to the position given by pos

position

double position(double distance)

Returns:

the position located at a given geodesic distance from the origin

parallel

CirculinearCurve2D parallel(double d)

Creates a new curve, formed by the points with parameterization: p(t) = c(t) + d*n(t)/|n(t)|, with p(t) being a point of the original curve, n(t) the normal of the curve, and |n| being the norm of n.
In the case of a continuous curve formed by several smooth circulinear elements, the parallels of contiguous elements are joined by a circle arc.

Parameters:

d - the distance between the original curve and he parallel curve.

Returns:

the parallel curve

transform

CirculinearCurve2D transform(CircleInversion2D inv)

Description copied from interface: CirculinearShape2D

Transforms the shape by a circle inversion. The result is still an instance a CirculinearShape2D.

Specified by:

transform in interface CirculinearShape2D

Parameters:

inv - the circle inversion

Returns:

the transformed shape

continuousCurves

java.util.Collection<? extends CirculinearContinuousCurve2D> continuousCurves()

Returns the collection of continuous circulinear curves which constitute this curve.

Specified by:

continuousCurves in interface Curve2D

Returns:

a collection of continuous circulinear curves.

clip

CurveSet2D<? extends CirculinearCurve2D> clip(Box2D box)

Description copied from interface: Shape2D

Clip the shape with the given box, and returns a new shape. The box must be bounded.

Specified by:

clip in interface Curve2D

Specified by:

clip in interface Shape2D

Parameters:

box - the clipping box

Returns:

the clipped shape

subCurve

CirculinearCurve2D subCurve(double t0,
                            double t1)

Description copied from interface: Curve2D

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

Specified by:

subCurve in interface Curve2D

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.

reverse

CirculinearCurve2D reverse()

Description copied from interface: Curve2D

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

Specified by:

reverse in interface Curve2D