Uses of Class
Jcg.geometry.Point_3

Packages that use Point_3

Package	Description
Jcg.geometry
Jcg.geometry.kernel
Jcg.mesh
Jcg.meshgeneration
Jcg.polyhedron
Jcg.viewer
Jcg.viewer.processing3d

Uses of Point_3 in Jcg.geometry

Subclasses with type arguments of type Point_3 in Jcg.geometry

Modifier and Type	Class	Description
class	PointCloud_3	Class representing a collection of points (in 3D)

Fields in Jcg.geometry declared as Point_3

Modifier and Type	Field	Description
private Point_3	Triangle_3.a
private Point_3	Triangle_3.b
private Point_3	Triangle_3.c
Point_3	Segment_3.p
Point_3	Segment_3.q

Methods in Jcg.geometry that return Point_3

Modifier and Type	Method	Description
Point_3[]	PointCloud_3.boundingBox()	Compute the bounding box (enclosing all points)
static Point_3	GeometricOperations_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Deprecated.
static Point_3	Point_3.linearCombination(Point_3[] points, Number[] coefficients)
Point_3	PointCloud_3.max(int d)	Return the point with greatest coordinate value (in direction d)
Point_3	PointCloud_3.min(int d)	Return the point with smallest coordinate value (in direction d)
Point_3	Plane_3.point()
Point_3	Point_3.sum(Vector_ v)
Point_3	Triangle_3.vertex(int i)

Methods in Jcg.geometry with parameters of type Point_3

Modifier and Type	Method	Description
static Point_3	GeometricOperations_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Deprecated.
static boolean	GeometricOperations_3.coplanarExact(Point_3 a, Point_3 b, Point_3 c, Point_3 d)	Deprecated. Test whether four 3D points are coplanar (test is filtered)
Number	Point_3.distanceFrom(Point_3 p)
boolean	Plane_3.hasOn(Point_3 p)
boolean	Plane_3.hasOnNegativeSide(Point_3 p)
boolean	Plane_3.hasOnPositiveSide(Point_3 p)
static Point_3	Point_3.linearCombination(Point_3[] points, Number[] coefficients)
static int	GeometricOperations_3.orientation(Point_3 a, Point_3 b, Point_3 c, Point_3 d)	Deprecated. refer to Jcg.geometry.kernel.GeometricPredicates_3
static int	GeometricOperations_3.sideOfSphere(Point_3 p, Point_3 a, Point_3 b, Point_3 c, Point_3 d)	Deprecated. Returns the position of p with respect to the circumsphere of tetrahedron (a, b, c, d): +1 if p lies outside the sphere, -1 if p lies inside the sphere, 0 if p lies on the sphere with exact computations (slow but more reliable)
static int	GeometricOperations_3.sideOfTetrahedron(Point_3 p, Point_3[] t)	Deprecated. determines on which side of the tetrahedron t point p lies: -1 means inside, 0 means on the boundary, +1 means outside

Constructors in Jcg.geometry with parameters of type Point_3

Modifier	Constructor	Description
	Plane_3(Point_3 p, Point_3 q, Point_3 r)
	Plane_3(Point_3 p, Vector_3 n)
	Segment_3(Point_3 p, Point_3 q)
	Triangle_3(Point_3 a, Point_3 b, Point_3 c)
	Vector_3(Point_3 a, Point_3 b)

Constructor parameters in Jcg.geometry with type arguments of type Point_3

Modifier	Constructor	Description
	PointCloud_3(ArrayList<Point_3> points)	Create a new point cloud (a copy) from a collection of points

Uses of Point_3 in Jcg.geometry.kernel

Methods in Jcg.geometry.kernel that return Point_3

Modifier and Type	Method	Description
Point_3	ApproximateConstructions_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Returns the (approximate) circumcenter of four points
Point_3	GeometricConstructions_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Returns the (approximate) circumcenter of four points

Methods in Jcg.geometry.kernel with parameters of type Point_3

Modifier and Type	Method	Description
Point_3	ApproximateConstructions_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Returns the (approximate) circumcenter of four points
Point_3	GeometricConstructions_3.circumCenter(Point_3 p, Point_3 q, Point_3 r, Point_3 s)	Returns the (approximate) circumcenter of four points
int	FilteredPredicates_3.orientation(Point_3 a, Point_3 b, Point_3 c, Point_3 d)	Compute the orientation of tetrahedron (test is filtered)
int	GeometricPredicates_3.orientation(Point_3 a, Point_3 b, Point_3 c, Point_3 d)	Compute the orientation of tetrahedron

Uses of Point_3 in Jcg.mesh

Fields in Jcg.mesh declared as Point_3

Modifier and Type	Field	Description
Point_3[]	SharedVertexRepresentation.points

Methods in Jcg.mesh that return types with arguments of type Point_3

Modifier and Type	Method	Description
static Polyhedron_3<Point_3>	MeshLoader.getSurfaceMesh(String filename)	Load a surface mesh embedded in 3D (Polyhedron_3) from an OFF or OBJ file It uses a shared vertex representation as intermediate data structure
static TriangulationDS_2<Point_3>	Triangulations_IO.getTriangleMeshFromFile(String filename)	Create a Triangle Data Structure for a given 3D surface mesh (from a file).

Methods in Jcg.mesh with parameters of type Point_3

Modifier and Type	Method	Description
static Point_2[]	MeshBuilder.Point3DToPoint2D(Point_3[] points)	Convert an array of 3D points to an array of 2D points (by orthogonal projection on the z=0 hyperplane)

Constructors in Jcg.mesh with parameters of type Point_3

Modifier	Constructor	Description
	SharedVertexRepresentation(int n, int f, int he, int[][] faces, int[] faceDegrees, Point_3[] points)	Create a shared vertex representation

Constructor parameters in Jcg.mesh with type arguments of type Point_3

Modifier	Constructor	Description
	SharedVertexRepresentation(Polyhedron_3<Point_3> polyhedron)	Create a shared vertex representation from a polyhedron (half-edge data structure)
	SharedVertexRepresentation(TriangulationDS_2<Point_3> mesh)	Create a mesh representation from a polyhedron (half-edge data structure)

Uses of Point_3 in Jcg.meshgeneration

Fields in Jcg.meshgeneration with type parameters of type Point_3

Modifier and Type	Field	Description
private HashSet<Vertex<Point_3>>	SphereGeneration.originalVertices
Face<Point_3>	StackedGeneration.outerFace
Polyhedron_3<Point_3>	SphereGeneration.polyhedron3D	the generated mesh to output
Polyhedron_3<Point_3>	StackedGeneration.polyhedron3D	the generated mesh to output

Methods in Jcg.meshgeneration that return Point_3

Modifier and Type	Method	Description
private Point_3	SphereGeneration.computeEdgePoint(Halfedge<Point_3> h)	Compute the midpoint of the given the half-edge 'h'

Methods in Jcg.meshgeneration that return types with arguments of type Point_3

Modifier and Type	Method	Description
private HashMap<Halfedge<Point_3>,Point_3>	SphereGeneration.computeEdgePoints()	Compute all new edge points and store the result in an HashMap
private HashMap<Halfedge<Point_3>,Point_3>	SphereGeneration.computeEdgePoints()	Compute all new edge points and store the result in an HashMap
static Polyhedron_3<Point_3>	RegularGridGeneration.star(String filename, int rootFace, int k)

Method parameters in Jcg.meshgeneration with type arguments of type Point_3

Modifier and Type	Method	Description
private Point_3	SphereGeneration.computeEdgePoint(Halfedge<Point_3> h)	Compute the midpoint of the given the half-edge 'h'
static void	RegularGridGeneration.save(Polyhedron_3<Point_3> mesh, String filename)
private void	SphereGeneration.splitEdges(HashMap<Halfedge<Point_3>,Point_3> edgePoints)	Splits all edges by inserting a new vertex
private void	SphereGeneration.splitEdges(HashMap<Halfedge<Point_3>,Point_3> edgePoints)	Splits all edges by inserting a new vertex
private void	SphereGeneration.subdivideFace(Face<Point_3> f)	Perform the subdivision of a face into 4 triangular sub-faces Edges must already be split: the face has degree 3+3

Uses of Point_3 in Jcg.polyhedron

Method parameters in Jcg.polyhedron with type arguments of type Point_3

Modifier and Type	Method	Description
void	Polyhedron_3.edgeCollapse(Halfedge<Point_3> e)	Perform the collapse of half-edge e=(u,v).

Uses of Point_3 in Jcg.viewer

Methods in Jcg.viewer that return Point_3

Modifier and Type	Method	Description
Point_3[]	DrawSkeleton.computeBoundingBox()	Compute the scale factor (depending on the max distance of the point set)

Methods in Jcg.viewer with parameters of type Point_3

Modifier and Type	Method	Description
void	DrawSkeleton.drawBoundingBox(Point_3[] box)	Draw the X, Y and Z axis
abstract void	DrawMesh.drawFace(Point_3[] f)	Draw a (triangle or polygonal) face
abstract void	DrawSkeleton.drawSegment(Point_3 p, Point_3 q)	Draw a segment between two points
abstract void	DrawMesh.drawTriangle(Point_3 p, Point_3 q, Point_3 r)	Draw a triangle
abstract void	DrawSkeleton.drawVertex(Point_3 p)	Draw a vertex

Uses of Point_3 in Jcg.viewer.processing3d

Fields in Jcg.viewer.processing3d with type parameters of type Point_3

Modifier and Type	Field	Description
Polyhedron_3<Point_3>	DrawPolyhedronProcessing.polyhedron3D	the triangle mesh (to be rendered)

Methods in Jcg.viewer.processing3d with parameters of type Point_3

Modifier and Type	Method	Description
void	DrawPolyhedronProcessing.drawFace(Point_3[] f)	Draw a (triangle or polygonal) face
void	DrawPolyhedronProcessing.drawNormal(Point_3 p, float[] normal)	Draw the vertex normal
void	DrawPolyhedronProcessing.drawSegment(Point_3 p, Point_3 q)	Draw a segment between two points
void	DrawPolyhedronProcessing.drawSegment(Point_3 p, Point_3 q, float[] color)	Draw a segment between two points
void	DrawPolyhedronProcessing.drawTriangle(Point_3 p, Point_3 q, Point_3 r)	Draw a triangle
void	DrawPolyhedronProcessing.drawVertex(Point_3 p)	Draw a vertex (as a small sphere)

Method parameters in Jcg.viewer.processing3d with type arguments of type Point_3

Modifier and Type	Method	Description
void	DrawPolyhedronProcessing.drawFace(Face<Point_3> f)	Draw a (triangle or polygonal) face
void	DrawPolyhedronProcessing.drawFace(Face<Point_3> f, Color c)	Draw a (triangle or polygonal) face of a Polyhedral surface

Constructor parameters in Jcg.viewer.processing3d with type arguments of type Point_3

Modifier	Constructor	Description
	DrawPolyhedronProcessing(MeshViewerProcessing view, Polyhedron_3<Point_3> polyhedron3D, float[][] edgeColors)	Create a surface mesh from a 3D polyhedron (3D surface mesh).
	DrawPolyhedronProcessing(processing.core.PApplet view, Polyhedron_3<Point_3> polyhedron3D)	Create a surface mesh