math.geom3d.curve
Interface Curve3D

All Superinterfaces:

Shape3D

All Known Subinterfaces:

ContinuousCurve3D

All Known Implementing Classes:

LineSegment3D, StraightLine3D

public interface Curve3D
extends Shape3D

Interface for 3D space curve. Curve can be continuous, or a set of continuous curves.

Author:

dlegland

Field Summary

Fields inherited from interface math.geom3d.Shape3D

ACCURACY

Method Summary

java.util.Collection<? extends ContinuousCurve3D>	continuousCurves() Returns the collection of continuous curves which constitute this curve.
Point3D	firstPoint() Get the first point of the curve.
double	getT0() Get value of parameter t for the first point of the curve.
double	getT1() Get value of parameter t for the last point of the curve.
Point3D	lastPoint() Get the last point of the curve.
Point3D	point(double t) Gets the point from a parametric representation of the curve.
double	position(Point3D point) Get position of the point on the curve.
double	project(Point3D point) Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point.
Curve3D	reverseCurve() Returns the curve with same trace on the plane with parametrization in reverse order.
java.util.Collection<Point3D>	singularPoints() Returns a set of singular points, i. e. which do not locally admit derivative.
Curve3D	subCurve(double t0, double t1) Returns a portion of the original curve, delimited by two positions on the curve.
Curve3D	transform(AffineTransform3D trans) Transforms the curve by an affine transform.

Methods inherited from interface math.geom3d.Shape3D

boundingBox, clip, contains, distance, isBounded, isEmpty

Method Detail

getT0

double getT0()

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.

getT1

double getT1()

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.

point

Point3D point(double t)

Gets the point from a parametric representation of 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

Point3D firstPoint()

Get the first point of the curve. It must returns the same result as getPoint(getT0()).

Returns:

the first point of the curve

lastPoint

Point3D lastPoint()

Get the last point of the curve. It must returns the same result as getPoint(getT1()).

Returns:

the last point of the curve.

singularPoints

java.util.Collection<Point3D> singularPoints()

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

Returns:

a collection of Point3D.

position

double position(Point3D point)

Get position of the point on the curve. If the point does not belong to the curve, return Double.NaN.

Parameters:

point - a point belonging to the curve

Returns:

the position of the point on the curve

project

double project(Point3D 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

reverseCurve

Curve3D reverseCurve()

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

continuousCurves

java.util.Collection<? extends ContinuousCurve3D> continuousCurves()

Returns the collection of continuous curves which constitute this curve.

Returns:

a collection of continuous curves.

subCurve

Curve3D 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

Curve3D transform(AffineTransform3D trans)

Transforms the curve by an affine transform. The result is an instance of Curve3D.

Specified by:

transform in interface Shape3D