User Manual 4.0 Lines

User Manual 4.0 Lines

Definition

The lines are defined by an origin point and a direction vector (both Vector3D).

Implementation

Please refer to the Javadoc for a complete list of public methods.

Instantiation

A Line(geometry.euclidian.threed) can be created in twi different ways :

• Using the constructor, by giving it two different points of the line.

Vector3D p1 = new Vector3D(8, -12, 2);
Vector3D p2 = new Vector3D(-3, 4, 1);
Line l2 = new Line(p1, p2, true);

• Using the static method createLine(Vector3D, Vector3D) : the first Vector3D is a point of the line, the second one is the direction.

Vector3D origin = new Vector3D(-6, 4, 2);
Vector3D direction = new Vector3D(2, 0, -9);
Line l1 = Line.createLine(origin, direction );

The origin of the line is always computed to be the closest one of the line to the (0, 0, 0) point.

Usage

The Line class proposes methods to  :

• Test if the line identical to another one (they are similar if the contain the same points) :

boolean similarLines = line1.isSimilarTo(line2);

• the coordinates of the projection of any point of space in the local frame (origin, direction)

Vector3D point = new Vector3D(2, 3, 5);
Vector1D pointOnLine = line.toSubSpace(point);

• the coordinates in the global frame of a point expressed in the local frame

Vector3D point = p1.toSpace(pointOnLine );

• Test if a point belongs to it

Vector3D point = new Vector3D(2, 3, 5);
boolean containsPoint = line1.contains(point);

Please refer to the Interactions with other geometrical objects section for other methods : Line does not implement the Shape interface (it is not a "shape"), but contains methods for interactions with other lines and points (clostestPointTo, distance...).