math.geom2d.circulinear
Interface CirculinearCurve2D

All Superinterfaces:

CirculinearShape2D, Cloneable, Curve2D, Serializable, Shape2D

All Known Subinterfaces:

CircleLine2D, CircularShape2D, CirculinearBoundary2D, CirculinearContinuousCurve2D, CirculinearContour2D, CirculinearElement2D, CirculinearRing2D, ContinuousCirculinearCurve2D, LinearShape2D

All Known Implementing Classes:

AbstractLine2D, BoundaryPolyCirculinearCurve2D, Circle2D, CircleArc2D, CirculinearBoundarySet2D, CirculinearCurveSet2D, ClosedPolyline2D, GenericCirculinearRing2D, InvertedRay2D, Line2D, LineArc2D, LinearRing2D, LineObject2D, LineSegment2D, PolyCirculinearCurve2D, Polyline2D, Polyline2D, Ray2D, Ring2D, 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.

Author:

dlegland

Field Summary

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Method Summary

CurveSet2D	clip(Box2D box) Clip the shape with the given box, and returns a new shape.
Collection<? extends CirculinearContinuousCurve2D>	getContinuousCurves() Returns the collection of continuous circulinear curves which constitute this curve.
double	getLength()
double	getLength(double pos)
Curve2D	getParallel(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	getPosition(double length)
Curve2D	getReverseCurve() Returns the curve with same trace on the plane with parametrization in reverse order.
Curve2D	getSubCurve(double t0, double t1) Returns a portion of the original curve, delimited by two positions on the curve.
Curve2D	transform(CircleInversion2D inv) Transforms the shape by a circle inversion.

Methods inherited from interface math.geom2d.circulinear.CirculinearShape2D

getBuffer

Methods inherited from interface math.geom2d.curve.Curve2D

clone, draw, getAsAWTShape, getFirstPoint, getIntersections, getLastPoint, getPoint, getPosition, getSingularPoints, getT0, getT1, isSingular, project, transform

Methods inherited from interface math.geom2d.Shape2D

contains, contains, getBoundingBox, getDistance, getDistance, isBounded, isEmpty

Method Detail

getLength

double getLength()

Returns:

the length of the curve

getLength

double getLength(double pos)

Returns:

the length from the beginning to the position given by pos

getPosition

double getPosition(double length)

Returns:

the position located at distance 'length' from the origin

getParallel

Curve2D getParallel(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

Curve2D 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

getContinuousCurves

Collection<? extends CirculinearContinuousCurve2D> getContinuousCurves()

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

Specified by:

getContinuousCurves in interface Curve2D

Returns:

a collection of continuous circulinear curves.

clip

CurveSet2D 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

getSubCurve

Curve2D getSubCurve(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:

getSubCurve 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.

getReverseCurve

Curve2D getReverseCurve()

Description copied from interface: Curve2D

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

Specified by:

getReverseCurve in interface Curve2D