org.hipparchus.geometry.euclidean.threed

Class PolyhedronsSet

• All Implemented Interfaces:
Region<Euclidean3D>

public class PolyhedronsSet
extends AbstractRegion<Euclidean3D,Euclidean2D>
This class represents a 3D region: a set of polyhedrons.
• Nested Class Summary

Nested Classes
Modifier and Type Class and Description
static class  PolyhedronsSet.BRep
Container for Boundary REPresentation (B-Rep).
• Nested classes/interfaces inherited from interface org.hipparchus.geometry.partitioning.Region

Region.Location
• Constructor Summary

Constructors
Constructor and Description
PolyhedronsSet(BSPTree<Euclidean3D> tree, double tolerance)
Build a polyhedrons set from a BSP tree.
PolyhedronsSet(Collection<SubHyperplane<Euclidean3D>> boundary, double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by sub-hyperplanes.
PolyhedronsSet(double tolerance)
Build a polyhedrons set representing the whole real line.
PolyhedronsSet(double xMin, double xMax, double yMin, double yMax, double zMin, double zMax, double tolerance)
Build a parallellepipedic box.
PolyhedronsSet(List<Vector3D> vertices, List<int[]> facets, double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.
PolyhedronsSet(PolyhedronsSet.BRep brep, double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.
• Method Summary

All Methods
Modifier and Type Method and Description
PolyhedronsSet buildNew(BSPTree<Euclidean3D> tree)
Build a region using the instance as a prototype.
protected void computeGeometricalProperties()
Compute some geometrical properties.
SubHyperplane<Euclidean3D> firstIntersection(Vector3D point, Line line)
Get the first sub-hyperplane crossed by a semi-infinite line.
PolyhedronsSet.BRep getBRep()
Get the boundary representation of the instance.
PolyhedronsSet rotate(Vector3D center, Rotation rotation)
Rotate the region around the specified point.
PolyhedronsSet translate(Vector3D translation)
Translate the region by the specified amount.
• Methods inherited from class org.hipparchus.geometry.partitioning.AbstractRegion

applyTransform, checkPoint, checkPoint, checkPoint, checkPoint, contains, copySelf, getBarycenter, getBoundarySize, getSize, getTolerance, getTree, intersection, isEmpty, isEmpty, isFull, isFull, projectToBoundary, setBarycenter, setBarycenter, setSize
• Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• Constructor Detail

• PolyhedronsSet

public PolyhedronsSet(double tolerance)
Build a polyhedrons set representing the whole real line.
Parameters:
tolerance - tolerance below which points are considered identical
• PolyhedronsSet

public PolyhedronsSet(BSPTree<Euclidean3D> tree,
double tolerance)
Build a polyhedrons set from a BSP tree.

The leaf nodes of the BSP tree must have a Boolean attribute representing the inside status of the corresponding cell (true for inside cells, false for outside cells). In order to avoid building too many small objects, it is recommended to use the predefined constants Boolean.TRUE and Boolean.FALSE

This constructor is aimed at expert use, as building the tree may be a difficult task. It is not intended for general use and for performances reasons does not check thoroughly its input, as this would require walking the full tree each time. Failing to provide a tree with the proper attributes, will therefore generate problems like NullPointerException or ClassCastException only later on. This limitation is known and explains why this constructor is for expert use only. The caller does have the responsibility to provided correct arguments.

Parameters:
tree - inside/outside BSP tree representing the region
tolerance - tolerance below which points are considered identical
• PolyhedronsSet

public PolyhedronsSet(Collection<SubHyperplane<Euclidean3D>> boundary,
double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by sub-hyperplanes.

The boundary is provided as a collection of sub-hyperplanes. Each sub-hyperplane has the interior part of the region on its minus side and the exterior on its plus side.

The boundary elements can be in any order, and can form several non-connected sets (like for example polyhedrons with holes or a set of disjoint polyhedrons considered as a whole). In fact, the elements do not even need to be connected together (their topological connections are not used here). However, if the boundary does not really separate an inside open from an outside open (open having here its topological meaning), then subsequent calls to the checkPoint method will not be meaningful anymore.

If the boundary is empty, the region will represent the whole space.

Parameters:
boundary - collection of boundary elements, as a collection of SubHyperplane objects
tolerance - tolerance below which points are considered identical
• PolyhedronsSet

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

The boundary is provided as a list of vertices and a list of facets. Each facet is specified as an integer array containing the arrays vertices indices in the vertices list. Each facet normal is oriented by right hand rule to the facet vertices list.

Some basic sanity checks are performed but not everything is thoroughly assessed, so it remains under caller responsibility to ensure the vertices and facets are consistent and properly define a polyhedrons set.

Parameters:
vertices - list of polyhedrons set vertices
facets - list of facets, as vertices indices in the vertices list
tolerance - tolerance below which points are considered identical
Throws:
MathIllegalArgumentException - if some basic sanity checks fail
• PolyhedronsSet

public PolyhedronsSet(PolyhedronsSet.BRep brep,
double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.

Some basic sanity checks are performed but not everything is thoroughly assessed, so it remains under caller responsibility to ensure the vertices and facets are consistent and properly define a polyhedrons set.

Parameters:
brep - Boundary REPresentation of the polyhedron to build
tolerance - tolerance below which points are considered identical
Throws:
MathIllegalArgumentException - if some basic sanity checks fail
Since:
1.2
• PolyhedronsSet

public PolyhedronsSet(double xMin,
double xMax,
double yMin,
double yMax,
double zMin,
double zMax,
double tolerance)
Build a parallellepipedic box.
Parameters:
xMin - low bound along the x direction
xMax - high bound along the x direction
yMin - low bound along the y direction
yMax - high bound along the y direction
zMin - low bound along the z direction
zMax - high bound along the z direction
tolerance - tolerance below which points are considered identical
• Method Detail

• buildNew

public PolyhedronsSet buildNew(BSPTree<Euclidean3D> tree)
Build a region using the instance as a prototype.

This method allow to create new instances without knowing exactly the type of the region. It is an application of the prototype design pattern.

The leaf nodes of the BSP tree must have a Boolean attribute representing the inside status of the corresponding cell (true for inside cells, false for outside cells). In order to avoid building too many small objects, it is recommended to use the predefined constants Boolean.TRUE and Boolean.FALSE. The tree also must have either null internal nodes or internal nodes representing the boundary as specified in the getTree method).

Specified by:
buildNew in interface Region<Euclidean3D>
Specified by:
buildNew in class AbstractRegion<Euclidean3D,Euclidean2D>
Parameters:
tree - inside/outside BSP tree representing the new region
Returns:
the built region
• getBRep

public PolyhedronsSet.BRep getBRep()
throws MathRuntimeException
Get the boundary representation of the instance.

The boundary representation can be extracted only from bounded polyhedrons sets. If the polyhedrons set is unbounded, a MathRuntimeException will be thrown.

The boundary representation extracted is not minimal, as for example canonical facets may be split into several smaller independent sub-facets sharing the same plane and connected by their edges.

As the B-Rep representation does not support facets with several boundary loops (for example facets with holes), an exception is triggered when attempting to extract B-Rep from such complex polyhedrons sets.

Returns:
boundary representation of the instance
Throws:
MathRuntimeException - if polyhedrons is unbounded
Since:
1.2
• computeGeometricalProperties

protected void computeGeometricalProperties()
Compute some geometrical properties.

The properties to compute are the barycenter and the size.

Specified by:
computeGeometricalProperties in class AbstractRegion<Euclidean3D,Euclidean2D>
• firstIntersection

public SubHyperplane<Euclidean3D> firstIntersection(Vector3D point,
Line line)
Get the first sub-hyperplane crossed by a semi-infinite line.
Parameters:
point - start point of the part of the line considered
line - line to consider (contains point)
Returns:
the first sub-hyperplane crossed by the line after the given point, or null if the line does not intersect any sub-hyperplane
• rotate

public PolyhedronsSet rotate(Vector3D center,
Rotation rotation)
Rotate the region around the specified point.

The instance is not modified, a new instance is created.

Parameters:
center - rotation center
rotation - vectorial rotation operator
Returns:
a new instance representing the rotated region
• translate

public PolyhedronsSet translate(Vector3D translation)
Translate the region by the specified amount.

The instance is not modified, a new instance is created.

Parameters:
translation - translation to apply
Returns:
a new instance representing the translated region