Uses of Class
org.apache.commons.math3.geometry.euclidean.threed.Vector3D

Packages that use Vector3D

Package	Description
org.apache.commons.math3.geometry.euclidean.threed	This package provides basic 3D geometry components.
org.apache.commons.math3.geometry.spherical.twod	This package provides basic geometry components on the 2-sphere.

Uses of Vector3D in org.apache.commons.math3.geometry.euclidean.threed

Fields in org.apache.commons.math3.geometry.euclidean.threed declared as Vector3D

Modifier and Type	Field	Description
private Vector3D	RotationOrder.a1	Axis of the first rotation.
private Vector3D	RotationOrder.a2	Axis of the second rotation.
private Vector3D	RotationOrder.a3	Axis of the third rotation.
private Vector3D	PolyhedronsSet.RotationTransform.center	Center point of the rotation.
private Vector3D	Line.direction	Line direction.
private Vector3D	Segment.end	End point of the segments.
static Vector3D	Vector3D.MINUS_I	Opposite of the first canonical vector (coordinates: -1, 0, 0).
static Vector3D	Vector3D.MINUS_J	Opposite of the second canonical vector (coordinates: 0, -1, 0).
static Vector3D	Vector3D.MINUS_K	Opposite of the third canonical vector (coordinates: 0, 0, -1).
static Vector3D	Vector3D.NaN	A vector with all coordinates set to NaN.
static Vector3D	Vector3D.NEGATIVE_INFINITY	A vector with all coordinates set to negative infinity.
private Vector3D	Plane.origin	Origin of the plane frame.
static Vector3D	Vector3D.PLUS_I	First canonical vector (coordinates: 1, 0, 0).
static Vector3D	Vector3D.PLUS_J	Second canonical vector (coordinates: 0, 1, 0).
static Vector3D	Vector3D.PLUS_K	Third canonical vector (coordinates: 0, 0, 1).
static Vector3D	Vector3D.POSITIVE_INFINITY	A vector with all coordinates set to positive infinity.
private Vector3D	Segment.start	Start point of the segment.
private Vector3D	PolyhedronsSet.TranslationTransform.translation	Translation vector.
private Vector3D	OutlineExtractor.u	Abscissa axis of the projection plane.
private Vector3D	Plane.u	First vector of the plane frame (in plane).
private Vector3D	OutlineExtractor.v	Ordinate axis of the projection plane.
private Vector3D	Plane.v	Second vector of the plane frame (in plane).
private Vector3D	SphericalCoordinates.v	Cartesian coordinates.
private Vector3D	OutlineExtractor.w	Normal of the projection plane (viewing direction).
private Vector3D	Plane.w	Third vector of the plane frame (plane normal).
private Vector3D	Line.zero	Line point closest to the origin.
static Vector3D	Vector3D.ZERO	Null vector (coordinates: 0, 0, 0).

Methods in org.apache.commons.math3.geometry.euclidean.threed that return Vector3D

Modifier and Type	Method	Description
Vector3D	Vector3D.add(double factor, Vector<Euclidean3D> v)	Add a scaled vector to the instance.
Vector3D	Vector3D.add(Vector<Euclidean3D> v)	Add a vector to the instance.
Vector3D	PolyhedronsSet.RotationTransform.apply(Point<Euclidean3D> point)	Transform a point of a space.
Vector3D	PolyhedronsSet.TranslationTransform.apply(Point<Euclidean3D> point)	Transform a point of a space.
Vector3D	Rotation.applyInverseTo(Vector3D u)	Apply the inverse of the rotation to a vector.
Vector3D	Rotation.applyTo(Vector3D u)	Apply the rotation to a vector.
Vector3D	Line.closestPoint(Line line)	Compute the point of the instance closest to another line.
static Vector3D	Vector3D.crossProduct(Vector3D v1, Vector3D v2)	Compute the cross-product of two vectors.
Vector3D	Vector3D.crossProduct(Vector<Euclidean3D> v)	Compute the cross-product of the instance with another vector.
Vector3D	RotationOrder.getA1()	Get the axis of the first rotation.
Vector3D	RotationOrder.getA2()	Get the axis of the second rotation.
Vector3D	RotationOrder.getA3()	Get the axis of the second rotation.
Vector3D	Rotation.getAxis()	Deprecated. as of 3.6, replaced with Rotation.getAxis(RotationConvention)
Vector3D	Rotation.getAxis(RotationConvention convention)	Get the normalized axis of the rotation.
Vector3D	SphericalCoordinates.getCartesian()	Get the Cartesian coordinates.
Vector3D	Line.getDirection()	Get the normalized direction vector.
Vector3D	Segment.getEnd()	Get the end point of the segment.
Vector3D	Plane.getNormal()	Get the normalized normal vector.
Vector3D	Line.getOrigin()	Get the line point closest to the origin.
Vector3D	Plane.getOrigin()	Get the origin point of the plane frame.
Vector3D	Plane.getPointAt(Vector2D inPlane, double offset)	Get one point from the 3D-space.
Vector3D	Segment.getStart()	Get the start point of the segment.
Vector3D	Plane.getU()	Get the plane first canonical vector.
Vector3D	Plane.getV()	Get the plane second canonical vector.
Vector3D	Vector3D.getZero()	Get the null vector of the vectorial space or origin point of the affine space.
Vector3D	Line.intersection(Line line)	Get the intersection point of the instance and another line.
Vector3D	Plane.intersection(Line line)	Get the intersection of a line with the instance.
static Vector3D	Plane.intersection(Plane plane1, Plane plane2, Plane plane3)	Get the intersection point of three planes.
Vector3D	SubLine.intersection(SubLine subLine, boolean includeEndPoints)	Get the intersection of the instance and another sub-line.
Vector3D	Vector3D.negate()	Get the opposite of the instance.
Vector3D	Vector3D.normalize()	Get a normalized vector aligned with the instance.
Vector3D	Vector3D.orthogonal()	Get a vector orthogonal to the instance.
Vector3D	Vector3DFormat.parse(java.lang.String source)	Parses a string to produce a Vector3D object.
Vector3D	Vector3DFormat.parse(java.lang.String source, java.text.ParsePosition pos)	Parses a string to produce a Vector3D object.
Vector3D	Line.pointAt(double abscissa)	Get one point from the line.
Vector3D	Vector3D.scalarMultiply(double a)	Multiply the instance by a scalar.
Vector3D	Vector3D.subtract(double factor, Vector<Euclidean3D> v)	Subtract a scaled vector from the instance.
Vector3D	Vector3D.subtract(Vector<Euclidean3D> v)	Subtract a vector from the instance.
Vector3D	Line.toSpace(Point<Euclidean1D> point)	Transform a sub-space point into a space point.
Vector3D	Line.toSpace(Vector<Euclidean1D> vector)	Transform a sub-space point into a space point.
Vector3D	Plane.toSpace(Point<Euclidean2D> point)	Transform an in-plane point into a 3D space point.
Vector3D	Plane.toSpace(Vector<Euclidean2D> vector)	Transform a sub-space point into a space point.
Vector3D	FieldVector3D.toVector3D()	Convert to a constant vector without derivatives.

Methods in org.apache.commons.math3.geometry.euclidean.threed that return types with arguments of type Vector3D

Modifier and Type	Method	Description
EnclosingBall<Euclidean3D,Vector3D>	SphereGenerator.ballOnSupport(java.util.List<Vector3D> support)	Create a ball whose boundary lies on prescribed support points.

Methods in org.apache.commons.math3.geometry.euclidean.threed with parameters of type Vector3D

Modifier and Type	Method	Description
FieldVector3D<T>	FieldVector3D.add(double factor, Vector3D v)	Add a scaled vector to the instance.
FieldVector3D<T>	FieldVector3D.add(Vector3D v)	Add a vector to the instance.
FieldVector3D<T>	FieldVector3D.add(T factor, Vector3D v)	Add a scaled vector to the instance.
static <T extends RealFieldElement<T>> T	FieldVector3D.angle(FieldVector3D<T> v1, Vector3D v2)	Compute the angular separation between two vectors.
static <T extends RealFieldElement<T>> T	FieldVector3D.angle(Vector3D v1, FieldVector3D<T> v2)	Compute the angular separation between two vectors.
static double	Vector3D.angle(Vector3D v1, Vector3D v2)	Compute the angular separation between two vectors.
FieldVector3D<T>	FieldRotation.applyInverseTo(Vector3D u)	Apply the inverse of the rotation to a vector.
Vector3D	Rotation.applyInverseTo(Vector3D u)	Apply the inverse of the rotation to a vector.
FieldVector3D<T>	FieldRotation.applyTo(Vector3D u)	Apply the rotation to a vector.
Vector3D	Rotation.applyTo(Vector3D u)	Apply the rotation to a vector.
private SubHyperplane<Euclidean3D>	PolyhedronsSet.boundaryFacet(Vector3D point, BSPTree<Euclidean3D> node)	Check if a point belongs to the boundary part of a node.
private static IntervalsSet	SubLine.buildIntervalSet(Vector3D start, Vector3D end, double tolerance)	Build an interval set from two points.
boolean	Line.contains(Vector3D p)	Check if the instance contains a point.
boolean	Plane.contains(Vector3D p)	Check if the instance contains a point.
static <T extends RealFieldElement<T>> FieldVector3D<T>	FieldVector3D.crossProduct(FieldVector3D<T> v1, Vector3D v2)	Compute the cross-product of two vectors.
FieldVector3D<T>	FieldVector3D.crossProduct(Vector3D v)	Compute the cross-product of the instance with another vector.
static <T extends RealFieldElement<T>> FieldVector3D<T>	FieldVector3D.crossProduct(Vector3D v1, FieldVector3D<T> v2)	Compute the cross-product of two vectors.
static Vector3D	Vector3D.crossProduct(Vector3D v1, Vector3D v2)	Compute the cross-product of two vectors.
static <T extends RealFieldElement<T>> T	FieldVector3D.distance(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L2 norm.
T	FieldVector3D.distance(Vector3D v)	Compute the distance between the instance and another vector according to the L2 norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distance(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L2 norm.
double	Line.distance(Vector3D p)	Compute the distance between the instance and a point.
static double	Vector3D.distance(Vector3D v1, Vector3D v2)	Compute the distance between two vectors according to the L2 norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distance1(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L1 norm.
T	FieldVector3D.distance1(Vector3D v)	Compute the distance between the instance and another vector according to the L1 norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distance1(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L1 norm.
static double	Vector3D.distance1(Vector3D v1, Vector3D v2)	Compute the distance between two vectors according to the L1 norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distanceInf(FieldVector3D<T> v1, Vector3D v2)	Compute the distance between two vectors according to the L∞ norm.
T	FieldVector3D.distanceInf(Vector3D v)	Compute the distance between the instance and another vector according to the L∞ norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distanceInf(Vector3D v1, FieldVector3D<T> v2)	Compute the distance between two vectors according to the L∞ norm.
static double	Vector3D.distanceInf(Vector3D v1, Vector3D v2)	Compute the distance between two vectors according to the L∞ norm.
static <T extends RealFieldElement<T>> T	FieldVector3D.distanceSq(FieldVector3D<T> v1, Vector3D v2)	Compute the square of the distance between two vectors.
T	FieldVector3D.distanceSq(Vector3D v)	Compute the square of the distance between the instance and another vector.
static <T extends RealFieldElement<T>> T	FieldVector3D.distanceSq(Vector3D v1, FieldVector3D<T> v2)	Compute the square of the distance between two vectors.
static double	Vector3D.distanceSq(Vector3D v1, Vector3D v2)	Compute the square of the distance between two vectors.
static <T extends RealFieldElement<T>> T	FieldVector3D.dotProduct(FieldVector3D<T> v1, Vector3D v2)	Compute the dot-product of two vectors.
T	FieldVector3D.dotProduct(Vector3D v)	Compute the dot-product of the instance and another vector.
static <T extends RealFieldElement<T>> T	FieldVector3D.dotProduct(Vector3D v1, FieldVector3D<T> v2)	Compute the dot-product of two vectors.
static double	Vector3D.dotProduct(Vector3D v1, Vector3D v2)	Compute the dot-product of two vectors.
SubHyperplane<Euclidean3D>	PolyhedronsSet.firstIntersection(Vector3D point, Line line)	Get the first sub-hyperplane crossed by a semi-infinite line.
double	Line.getAbscissa(Vector3D point)	Get the abscissa of a point with respect to the line.
private SubHyperplane<Euclidean3D>	PolyhedronsSet.recurseFirstIntersection(BSPTree<Euclidean3D> node, Vector3D point, Line line)	Get the first sub-hyperplane crossed by a semi-infinite line.
void	Line.reset(Vector3D p1, Vector3D p2)	Reset the instance as if built from two points.
void	Plane.reset(Vector3D p, Vector3D normal)	Reset the instance as if built from a point and a normal.
Plane	Plane.rotate(Vector3D center, Rotation rotation)	Rotate the plane around the specified point.
PolyhedronsSet	PolyhedronsSet.rotate(Vector3D center, Rotation rotation)	Rotate the region around the specified point.
private void	Plane.setNormal(Vector3D normal)	Set the normal vactor.
FieldVector3D<T>	FieldVector3D.subtract(double factor, Vector3D v)	Subtract a scaled vector from the instance.
FieldVector3D<T>	FieldVector3D.subtract(Vector3D v)	Subtract a vector from the instance.
FieldVector3D<T>	FieldVector3D.subtract(T factor, Vector3D v)	Subtract a scaled vector from the instance.
Plane	Plane.translate(Vector3D translation)	Translate the plane by the specified amount.
PolyhedronsSet	PolyhedronsSet.translate(Vector3D translation)	Translate the region by the specified amount.

Method parameters in org.apache.commons.math3.geometry.euclidean.threed with type arguments of type Vector3D

Modifier and Type	Method	Description
EnclosingBall<Euclidean3D,Vector3D>	SphereGenerator.ballOnSupport(java.util.List<Vector3D> support)	Create a ball whose boundary lies on prescribed support points.
private static java.util.List<SubHyperplane<Euclidean3D>>	PolyhedronsSet.buildBoundary(java.util.List<Vector3D> vertices, java.util.List<int[]> facets, double tolerance)	Build boundary from vertices and facets.
private static int[][]	PolyhedronsSet.findReferences(java.util.List<Vector3D> vertices, java.util.List<int[]> facets)	Find the facets that reference each edges.
private static int[][]	PolyhedronsSet.successors(java.util.List<Vector3D> vertices, java.util.List<int[]> facets, int[][] references)	Find the successors of all vertices among all facets they belong to.

Constructors in org.apache.commons.math3.geometry.euclidean.threed with parameters of type Vector3D

Constructor	Description
FieldVector3D(T a, Vector3D u)	Multiplicative constructor Build a vector from another one and a scale factor.
FieldVector3D(T a1, Vector3D u1, T a2, Vector3D u2)	Linear constructor Build a vector from two other ones and corresponding scale factors.
FieldVector3D(T a1, Vector3D u1, T a2, Vector3D u2, T a3, Vector3D u3)	Linear constructor Build a vector from three other ones and corresponding scale factors.
FieldVector3D(T a1, Vector3D u1, T a2, Vector3D u2, T a3, Vector3D u3, T a4, Vector3D u4)	Linear constructor Build a vector from four other ones and corresponding scale factors.
Line(Vector3D p1, Vector3D p2)	Deprecated. as of 3.3, replaced with Line(Vector3D, Vector3D, double)
Line(Vector3D p1, Vector3D p2, double tolerance)	Build a line from two points.
OutlineExtractor(Vector3D u, Vector3D v)	Build an extractor for a specific projection plane.
Plane(Vector3D normal)	Deprecated. as of 3.3, replaced with Plane(Vector3D, double)
Plane(Vector3D normal, double tolerance)	Build a plane normal to a given direction and containing the origin.
Plane(Vector3D p, Vector3D normal)	Deprecated. as of 3.3, replaced with Plane(Vector3D, Vector3D, double)
Plane(Vector3D p, Vector3D normal, double tolerance)	Build a plane from a point and a normal.
Plane(Vector3D p1, Vector3D p2, Vector3D p3)	Deprecated. as of 3.3, replaced with Plane(Vector3D, Vector3D, Vector3D, double)
Plane(Vector3D p1, Vector3D p2, Vector3D p3, double tolerance)	Build a plane from three points.
Rotation(Vector3D axis, double angle)	Deprecated. as of 3.6, replaced with Rotation(Vector3D, double, RotationConvention)
Rotation(Vector3D axis, double angle, RotationConvention convention)	Build a rotation from an axis and an angle.
Rotation(Vector3D u, Vector3D v)	Build one of the rotations that transform one vector into another one.
Rotation(Vector3D u1, Vector3D u2, Vector3D v1, Vector3D v2)	Build the rotation that transforms a pair of vectors into another pair.
RotationOrder(java.lang.String name, Vector3D a1, Vector3D a2, Vector3D a3)	Private constructor.
RotationTransform(Vector3D center, Rotation rotation)	Build a rotation transform.
Segment(Vector3D start, Vector3D end, Line line)	Build a segment.
SphericalCoordinates(Vector3D v)	Build a spherical coordinates transformer from Cartesian coordinates.
SubLine(Vector3D start, Vector3D end)	Deprecated. as of 3.3, replaced with SubLine(Vector3D, Vector3D, double)
SubLine(Vector3D start, Vector3D end, double tolerance)	Create a sub-line from two endpoints.
TranslationTransform(Vector3D translation)	Build a translation transform.
Vector3D(double a, Vector3D u)	Multiplicative constructor Build a vector from another one and a scale factor.
Vector3D(double a1, Vector3D u1, double a2, Vector3D u2)	Linear constructor Build a vector from two other ones and corresponding scale factors.
Vector3D(double a1, Vector3D u1, double a2, Vector3D u2, double a3, Vector3D u3)	Linear constructor Build a vector from three other ones and corresponding scale factors.
Vector3D(double a1, Vector3D u1, double a2, Vector3D u2, double a3, Vector3D u3, double a4, Vector3D u4)	Linear constructor Build a vector from four other ones and corresponding scale factors.

Constructor parameters in org.apache.commons.math3.geometry.euclidean.threed with type arguments of type Vector3D

Constructor	Description
PolyhedronsSet(java.util.List<Vector3D> vertices, java.util.List<int[]> facets, double tolerance)	Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.

Uses of Vector3D in org.apache.commons.math3.geometry.spherical.twod

Fields in org.apache.commons.math3.geometry.spherical.twod declared as Vector3D

Modifier and Type	Field	Description
private Vector3D	Circle.pole	Pole or circle center.
private Vector3D	PropertiesComputer.summedBarycenter	Summed barycenter.
private Vector3D	S2Point.vector	Corresponding 3D normalized vector.
private Vector3D	Circle.x	First axis in the equator plane, origin of the phase angles.
private Vector3D	Circle.y	Second axis in the equator plane, in quadrature with respect to x.

Fields in org.apache.commons.math3.geometry.spherical.twod with type parameters of type Vector3D

Modifier and Type	Field	Description
private java.util.List<Vector3D>	PropertiesComputer.convexCellsInsidePoints	List of points strictly inside convex cells.

Methods in org.apache.commons.math3.geometry.spherical.twod that return Vector3D

Modifier and Type	Method	Description
private Vector3D	PropertiesComputer.convexCellBarycenter(Vertex start)	Compute convex cell barycenter.
Vector3D	Circle.getPointAt(double alpha)	Get a circle point from its phase around the circle.
Vector3D	Edge.getPointAt(double alpha)	Get an intermediate point.
Vector3D	Circle.getPole()	Get the pole of the circle.
Vector3D	S2Point.getVector()	Get the corresponding normalized vector in the 3D euclidean space.
Vector3D	Circle.getXAxis()	Get the X axis of the circle.
Vector3D	Circle.getYAxis()	Get the Y axis of the circle.
private static Vector3D	S2Point.vector(double theta, double phi)	Build the normalized vector corresponding to spherical coordinates.

Methods in org.apache.commons.math3.geometry.spherical.twod that return types with arguments of type Vector3D

Modifier and Type	Method	Description
java.util.List<Vector3D>	PropertiesComputer.getConvexCellsInsidePoints()	Get the points strictly inside convex cells.
private java.util.List<Vector3D>	SphericalPolygonsSet.getInsidePoints()	Gather some inside points.
private java.util.List<Vector3D>	SphericalPolygonsSet.getOutsidePoints()	Gather some outside points.

Methods in org.apache.commons.math3.geometry.spherical.twod with parameters of type Vector3D

Modifier and Type	Method	Description
private static S2Point[]	SphericalPolygonsSet.createRegularPolygonVertices(Vector3D center, Vector3D meridian, double outsideRadius, int n)	Build the vertices representing a regular polygon.
double	Circle.getOffset(Vector3D direction)	Get the offset (oriented distance) of a direction.
double	Circle.getPhase(Vector3D direction)	Get the phase angle of a direction.
void	Circle.reset(Vector3D newPole)	Reset the instance as if built from a pole.

Constructors in org.apache.commons.math3.geometry.spherical.twod with parameters of type Vector3D

Constructor	Description
Circle(Vector3D pole, double tolerance)	Build a great circle from its pole.
Circle(Vector3D pole, Vector3D x, Vector3D y, double tolerance)	Build a circle from its internal components.
S2Point(double theta, double phi, Vector3D vector)	Build a point from its internal components.
S2Point(Vector3D vector)	Simple constructor.
SphericalPolygonsSet(Vector3D pole, double tolerance)	Build a polygons set representing a hemisphere.
SphericalPolygonsSet(Vector3D center, Vector3D meridian, double outsideRadius, int n, double tolerance)	Build a polygons set representing a regular polygon.