Uses of Class
org.episteme.core.mathematics.geometry.Point3D

Packages that use Point3D

Package	Description
org.episteme.core.mathematics.geometry
org.episteme.core.mathematics.geometry.boundaries	Comprehensive boundary and region support for geometric modeling.
org.episteme.core.mathematics.geometry.csg
org.episteme.core.mathematics.geometry.curves
org.episteme.core.mathematics.geometry.polyhedra
org.episteme.natural.earth.coordinates
org.episteme.natural.physics.classical.mechanics.collision
org.episteme.natural.physics.classical.waves.optics

Uses of Point3D in org.episteme.core.mathematics.geometry

Classes in org.episteme.core.mathematics.geometry that implement interfaces with type arguments of type Point3D

Modifier and Type	Class	Description
class	Line3D	Represents a line in 3D Euclidean space.
class	Plane3D	Represents a plane in 3D Euclidean space.
final class	Point3D	A point in 3D Euclidean space. * @author Silvere Martin-Michiellot
final class	Point3D	A point in 3D Euclidean space. * @author Silvere Martin-Michiellot
class	Segment3D	Represents a line segment in 3D space.

Fields in org.episteme.core.mathematics.geometry declared as Point3D

Modifier and Type	Field	Description
static final Point3D	Point3D.ZERO

Methods in org.episteme.core.mathematics.geometry that return Point3D

Modifier and Type	Method	Description
Point3D	Point3D.add(Vector3D vector)
static Point3D	ComputationalGeometry3D.centroid(List<Point3D> points)	Computes the centroid of a set of 3D points.
static Point3D[]	ComputationalGeometry3D.closestPair(List<Point3D> points)	Closest pair of points in 3D - O(n log n) divide and conquer.
Point3D	ConvexHull3D.Face.getCentroid()	Returns the centroid of this face.
Point3D	Ray3D.getOrigin()
Point3D	ConvexHull3D.Face.getV1()
Point3D	ConvexHull3D.Face.getV2()
Point3D	ConvexHull3D.Face.getV3()
Point3D[]	ConvexHull3D.Face.getVertices()
static Point3D	Point3D.of(double x, double y, double z)
static Point3D	Point3D.of(Real x, Real y, Real z)
Point3D	Ray3D.pointAt(Real t)

Methods in org.episteme.core.mathematics.geometry that return types with arguments of type Point3D

Modifier and Type	Method	Description
static List<List<Point3D>>	ComputationalGeometry3D.convexHull(List<Point3D> points)	Computes the convex hull in 3D using the Gift Wrapping algorithm.

Methods in org.episteme.core.mathematics.geometry with parameters of type Point3D

Modifier and Type	Method	Description
static boolean	ConvexHull3D.contains(List<Point3D> hullPoints, Point3D query)	Checks if a point is inside the convex hull.
boolean	Point3D.contains(Point3D point)
boolean	Line3D.containsPoint(Point3D p)
boolean	Plane3D.containsPoint(Point3D p)
boolean	Point3D.containsPoint(Point3D point)
boolean	Segment3D.containsPoint(Point3D p)
Real	Point3D.distance(Point3D a, Point3D b)
Real	Point3D.distanceTo(Point3D other)
static Plane3D	Plane3D.fromPoints(Point3D a, Point3D b, Point3D c)	Creates a plane from 3 points.
static Real	ComputationalGeometry3D.intersectRayPlane(Ray3D ray, Point3D planePoint, Vector3D planeNormal)	Intersects a ray with a plane.
static Real	ComputationalGeometry3D.intersectRaySphere(Ray3D ray, Point3D center, Real radius)	Intersects a ray with a sphere.
static Real	ComputationalGeometry3D.intersectRayTriangle(Ray3D ray, Point3D v0, Point3D v1, Point3D v2)	Intersects a ray with a triangle.
boolean	ConvexHull3D.Face.isVisible(Point3D p)	Checks if a point is in front of (outside) this face.
static boolean	ComputationalGeometry3D.pointInTetrahedron(Point3D point, Point3D v0, Point3D v1, Point3D v2, Point3D v3)	Checks if a point is inside a tetrahedron.
Real	ConvexHull3D.Face.signedDistanceTo(Point3D p)	Signed distance from a point to the plane of this face.
Vector3D	Point3D.subtract(Point3D other)
static Real	ComputationalGeometry3D.tetrahedronVolume(Point3D v0, Point3D v1, Point3D v2, Point3D v3)	Computes the volume of a tetrahedron.

Method parameters in org.episteme.core.mathematics.geometry with type arguments of type Point3D

Modifier and Type	Method	Description
static Point3D	ComputationalGeometry3D.centroid(List<Point3D> points)	Computes the centroid of a set of 3D points.
static Point3D[]	ComputationalGeometry3D.closestPair(List<Point3D> points)	Closest pair of points in 3D - O(n log n) divide and conquer.
static List<ConvexHull3D.Face>	ConvexHull3D.compute(List<Point3D> points)	Computes the 3D convex hull of a set of points.
static ConvexPolyhedron3D	ConvexHull3D.computePolyhedron(List<Point3D> points)	Creates a ConvexPolyhedron3D from the hull.
static Real	ConvexHull3D.computeSurfaceArea(List<Point3D> points)	Computes the surface area of the convex hull.
static Real	ConvexHull3D.computeVolume(List<Point3D> points)	Computes the volume of the convex hull.
static boolean	ConvexHull3D.contains(List<Point3D> hullPoints, Point3D query)	Checks if a point is inside the convex hull.
static List<List<Point3D>>	ComputationalGeometry3D.convexHull(List<Point3D> points)	Computes the convex hull in 3D using the Gift Wrapping algorithm.

Constructors in org.episteme.core.mathematics.geometry with parameters of type Point3D

Modifier	Constructor	Description
	Face(Point3D v1, Point3D v2, Point3D v3)
	Ray3D(Point3D origin, Vector3D direction)

Uses of Point3D in org.episteme.core.mathematics.geometry.boundaries

Subinterfaces with type arguments of type Point3D in org.episteme.core.mathematics.geometry.boundaries

Modifier and Type	Interface	Description
interface	Boundary3D	Interface for three-dimensional boundaries (volumes).

Classes in org.episteme.core.mathematics.geometry.boundaries that implement interfaces with type arguments of type Point3D

Modifier and Type	Class	Description
class	BoundingBox3D	Axis-aligned bounding box in 3D.

Methods in org.episteme.core.mathematics.geometry.boundaries that return Point3D

Modifier and Type	Method	Description
Point3D	BoundingBox3D.getCenter()
Point3D	CompositeBoundary3D.getCentroid()
Point3D	ConvexPolyhedron3D.getCentroid()
Point3D	BoundingBox3D.getMax()
Point3D	BoundingBox3D.getMin()
static Point3D	BoundaryConverter.toPoint3D(Point2D point2D)	Converts a 2D point to 3D on the XY plane (z=0).
static Point3D	BoundaryConverter.toPoint3D(Point2D point2D, Real z)	Converts a 2D point to 3D with specified z.

Methods in org.episteme.core.mathematics.geometry.boundaries that return types with arguments of type Point3D

Modifier and Type	Method	Description
Boundary<Point3D>	CompositeBoundary3D.convexHull()
Boundary<Point3D>	ConvexPolyhedron3D.convexHull()
BoundingBox<Point3D>	CompositeBoundary3D.getBoundingBox()
BoundingBox<Point3D>	ConvexPolyhedron3D.getBoundingBox()
List<Point3D>	Boundary3D.Face.getVertices()	Returns the vertices of this face.
List<Point3D>	Boundary3D.getVertices()	Returns all vertices of this 3D boundary.
List<Point3D>	CompositeBoundary3D.getVertices()
List<Point3D>	ConvexPolyhedron3D.getVertices()
List<Point3D>	ConvexPolyhedron3D.TriangularFace.getVertices()
BoundingBox<Point3D>	BoundingBox3D.include(Point3D point)
Boundary<Point3D>	CompositeBoundary3D.intersection(Boundary<Point3D> other)
Boundary<Point3D>	ConvexPolyhedron3D.intersection(Boundary<Point3D> other)
BoundingBox<Point3D>	BoundingBox3D.merge(BoundingBox<Point3D> other)
static PointBoundary<Point3D>	PointBoundary.of3D(Real x, Real y, Real z)	Creates a 3D point boundary.
static PointBoundary<Point3D>	PointBoundary.of3D(Real x, Real y, Real z, Real tolerance)	Creates a 3D point boundary with tolerance.
Boundary<Point3D>	CompositeBoundary3D.scale(Real factor)
Boundary<Point3D>	ConvexPolyhedron3D.scale(Real factor)
Boundary<Point3D>	CompositeBoundary3D.translate(Point3D offset)
Boundary<Point3D>	ConvexPolyhedron3D.translate(Point3D offset)
Boundary<Point3D>	CompositeBoundary3D.union(Boundary<Point3D> other)
Boundary<Point3D>	ConvexPolyhedron3D.union(Boundary<Point3D> other)

Methods in org.episteme.core.mathematics.geometry.boundaries with parameters of type Point3D

Modifier and Type	Method	Description
static ConvexPolyhedron3D	ConvexPolyhedron3D.box(Point3D min, Point3D max)	Creates a box (rectangular parallelepiped).
boolean	BoundingBox3D.contains(Point3D point)
boolean	CompositeBoundary3D.contains(Point3D point)
boolean	ConvexPolyhedron3D.contains(Point3D point)
CompositeBoundary3D.ContainmentResult	CompositeBoundary3D.getContainmentStatus(Point3D point)
BoundingBox<Point3D>	BoundingBox3D.include(Point3D point)
boolean	ConvexPolyhedron3D.TriangularFace.isInFront(Point3D p)	Checks if a point is in front of this face (outside the polyhedron).
Real	ConvexPolyhedron3D.TriangularFace.signedDistanceTo(Point3D p)	Signed distance from a point to the plane of this face.
Boundary2D	Boundary3D.slice(Vector3D planeNormal, Point3D pointOnPlane)	Slices this boundary with a plane.
Boundary2D	CompositeBoundary3D.slice(Vector3D planeNormal, Point3D pointOnPlane)
Boundary2D	ConvexPolyhedron3D.slice(Vector3D planeNormal, Point3D pointOnPlane)
static ConvexPolyhedron3D	ConvexPolyhedron3D.tetrahedron(Point3D a, Point3D b, Point3D c, Point3D d)	Creates a tetrahedron from 4 points.
static Point2D	BoundaryConverter.toPoint2D(Point3D point3D)	Projects a 3D point to 2D on the XY plane.
static Point2D	BoundaryConverter.toPoint2DXZ(Point3D point3D)	Projects a 3D point to 2D on the XZ plane.
static Point2D	BoundaryConverter.toPoint2DYZ(Point3D point3D)	Projects a 3D point to 2D on the YZ plane.
Boundary<Point3D>	CompositeBoundary3D.translate(Point3D offset)
Boundary<Point3D>	ConvexPolyhedron3D.translate(Point3D offset)

Method parameters in org.episteme.core.mathematics.geometry.boundaries with type arguments of type Point3D

Modifier and Type	Method	Description
static BoundingBox3D	BoundingBox3D.fromPoints(List<Point3D> points)
Boundary<Point3D>	CompositeBoundary3D.intersection(Boundary<Point3D> other)
Boundary<Point3D>	ConvexPolyhedron3D.intersection(Boundary<Point3D> other)
boolean	BoundingBox3D.intersects(BoundingBox<Point3D> other)
boolean	CompositeBoundary3D.intersects(Boundary<Point3D> other)
boolean	ConvexPolyhedron3D.intersects(Boundary<Point3D> other)
BoundingBox<Point3D>	BoundingBox3D.merge(BoundingBox<Point3D> other)
Boundary<Point3D>	CompositeBoundary3D.union(Boundary<Point3D> other)
Boundary<Point3D>	ConvexPolyhedron3D.union(Boundary<Point3D> other)

Constructors in org.episteme.core.mathematics.geometry.boundaries with parameters of type Point3D

Modifier	Constructor	Description
	BoundingBox3D(Point3D min, Point3D max)
	TriangularFace(Point3D v1, Point3D v2, Point3D v3)

Uses of Point3D in org.episteme.core.mathematics.geometry.csg

Fields in org.episteme.core.mathematics.geometry.csg declared as Point3D

Modifier and Type	Field	Description
final Point3D	Vertex.pos

Constructors in org.episteme.core.mathematics.geometry.csg with parameters of type Point3D

Modifier	Constructor	Description
	Vertex(Point3D pos, Vector3D normal)

Uses of Point3D in org.episteme.core.mathematics.geometry.curves

Constructors in org.episteme.core.mathematics.geometry.curves with parameters of type Point3D

Modifier	Constructor	Description
	Helix(Point3D center, Real radius, Real pitch)	Creates a helix with the given 3D center, radius, and pitch.

Uses of Point3D in org.episteme.core.mathematics.geometry.polyhedra

Classes in org.episteme.core.mathematics.geometry.polyhedra that implement interfaces with type arguments of type Point3D

Modifier and Type	Class	Description
class	Polyhedron	Represents a convex polyhedron in 3D space.

Methods in org.episteme.core.mathematics.geometry.polyhedra that return Point3D

Modifier and Type	Method	Description
Point3D	Polyhedron.centroid()	Computes the centroid (center of mass) of the polyhedron.
Point3D	Polyhedron.getVertex(int index)	Returns the vertex at the given index.

Methods in org.episteme.core.mathematics.geometry.polyhedra that return types with arguments of type Point3D

Modifier and Type	Method	Description
Set<Graph.Edge<Point3D>>	Polyhedron.edges()
List<Point3D>	Polyhedron.getFaceVertices(int faceIndex)	Returns the vertices of the face at the given index.
Set<Point3D>	Polyhedron.neighbors(Point3D vertex)
Set<Point3D>	Polyhedron.vertices()

Methods in org.episteme.core.mathematics.geometry.polyhedra with parameters of type Point3D

Modifier and Type	Method	Description
boolean	Polyhedron.addEdge(Point3D source, Point3D target)
boolean	Polyhedron.addVertex(Point3D vertex)
int	Polyhedron.degree(Point3D vertex)
Set<Point3D>	Polyhedron.neighbors(Point3D vertex)

Constructor parameters in org.episteme.core.mathematics.geometry.polyhedra with type arguments of type Point3D

Modifier	Constructor	Description
	Polyhedron(List<Point3D> vertices, List<int[]> faces)	Creates a polyhedron from vertices and faces.

Uses of Point3D in org.episteme.natural.earth.coordinates

Methods in org.episteme.natural.earth.coordinates that return Point3D

Modifier and Type	Method	Description
Point3D	ECEFCoordinate.toPoint3D()	Converts this ECEF coordinate to a standard 3D point.

Uses of Point3D in org.episteme.natural.physics.classical.mechanics.collision

Methods in org.episteme.natural.physics.classical.mechanics.collision that return Point3D

Modifier and Type	Method	Description
Point3D	CollisionDetector.support(RigidBody b1, RigidBody b2, Vector3D direction)

Uses of Point3D in org.episteme.natural.physics.classical.waves.optics

Methods in org.episteme.natural.physics.classical.waves.optics that return Point3D

Modifier and Type	Method	Description
Point3D	Lens.getPosition()

Constructors in org.episteme.natural.physics.classical.waves.optics with parameters of type Point3D

Modifier	Constructor	Description
	Lens(Real focalLength, Point3D position, Real radius)	Creates a lens.