## Uses of Interface
org.apache.commons.math3.geometry.partitioning.Region

- Packages that use Region
  Package | Description
  --- | ---
  org.apache.commons.math3.geometry.euclidean.oned | This package provides basic 1D geometry components.
  org.apache.commons.math3.geometry.euclidean.threed | This package provides basic 3D geometry components.
  org.apache.commons.math3.geometry.euclidean.twod | This package provides basic 2D geometry components.
  org.apache.commons.math3.geometry.euclidean.twod.hull | This package provides algorithms to generate the convex hull for a set of points in an two-dimensional euclidean space.
  org.apache.commons.math3.geometry.hull | This package provides interfaces and classes related to the convex hull problem.
  org.apache.commons.math3.geometry.partitioning | This package provides classes to implement Binary Space Partition trees.
  org.apache.commons.math3.geometry.spherical.oned | This package provides basic geometry components on the 1-sphere.
  org.apache.commons.math3.geometry.spherical.twod | This package provides basic geometry components on the 2-sphere.

- - ### Uses of Region in org.apache.commons.math3.geometry.euclidean.oned

    Classes in org.apache.commons.math3.geometry.euclidean.oned that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `IntervalsSet` This class represents a 1D region: a set of intervals.

    Methods in org.apache.commons.math3.geometry.euclidean.oned with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected AbstractSubHyperplane<Euclidean1D,Euclidean1D>` | SubOrientedPoint.`buildNew(Hyperplane<Euclidean1D> hyperplane, Region<Euclidean1D> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

    Constructors in org.apache.commons.math3.geometry.euclidean.oned with parameters of type Region
    Constructor and Description
    `SubOrientedPoint(Hyperplane<Euclidean1D> hyperplane, Region<Euclidean1D> remainingRegion)` Simple constructor.

  - ### Uses of Region in org.apache.commons.math3.geometry.euclidean.threed

    Classes in org.apache.commons.math3.geometry.euclidean.threed that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `PolyhedronsSet` This class represents a 3D region: a set of polyhedrons.

    Methods in org.apache.commons.math3.geometry.euclidean.threed with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected AbstractSubHyperplane<Euclidean3D,Euclidean2D>` | SubPlane.`buildNew(Hyperplane<Euclidean3D> hyperplane, Region<Euclidean2D> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

    Constructors in org.apache.commons.math3.geometry.euclidean.threed with parameters of type Region
    Constructor and Description
    `SubPlane(Hyperplane<Euclidean3D> hyperplane, Region<Euclidean2D> remainingRegion)` Simple constructor.

  - ### Uses of Region in org.apache.commons.math3.geometry.euclidean.twod

    Classes in org.apache.commons.math3.geometry.euclidean.twod that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `PolygonsSet` This class represents a 2D region: a set of polygons.

    Methods in org.apache.commons.math3.geometry.euclidean.twod with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected AbstractSubHyperplane<Euclidean2D,Euclidean1D>` | SubLine.`buildNew(Hyperplane<Euclidean2D> hyperplane, Region<Euclidean1D> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

    Constructors in org.apache.commons.math3.geometry.euclidean.twod with parameters of type Region
    Constructor and Description
    `SubLine(Hyperplane<Euclidean2D> hyperplane, Region<Euclidean1D> remainingRegion)` Simple constructor.

  - ### Uses of Region in org.apache.commons.math3.geometry.euclidean.twod.hull

    Methods in org.apache.commons.math3.geometry.euclidean.twod.hull that return Region
    Modifier and Type | Method and Description
    --- | ---
    `Region<Euclidean2D>` | ConvexHull2D.`createRegion()` Returns a new region that is enclosed by the convex hull.

  - ### Uses of Region in org.apache.commons.math3.geometry.hull

    Methods in org.apache.commons.math3.geometry.hull that return Region
    Modifier and Type | Method and Description
    --- | ---
    `Region<S>` | ConvexHull.`createRegion()` Returns a new region that is enclosed by the convex hull.

  - ### Uses of Region in org.apache.commons.math3.geometry.partitioning

    Classes in org.apache.commons.math3.geometry.partitioning that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `AbstractRegion<S extends Space,T extends Space>` Abstract class for all regions, independently of geometry type or dimension.

    Methods in org.apache.commons.math3.geometry.partitioning that return Region
    Modifier and Type | Method and Description
    --- | ---
    `Region<S>` | RegionFactory.`buildConvex(Hyperplane<S>... hyperplanes)` Build a convex region from a collection of bounding hyperplanes.
    `Region<S>` | Region.`buildNew(BSPTree<S> newTree)` Build a region using the instance as a prototype.
    `Region<S>` | Region.`copySelf()` Copy the instance.
    `Region<S>` | RegionFactory.`difference(Region<S> region1, Region<S> region2)` Compute the difference of two regions.
    `Region<S>` | RegionFactory.`getComplement(Region<S> region)` Get the complement of the region (exchanged interior/exterior).
    `Region<T>` | AbstractSubHyperplane.`getRemainingRegion()` Get the remaining region of the hyperplane.
    `Region<S>` | RegionFactory.`intersection(Region<S> region1, Region<S> region2)` Compute the intersection of two regions.
    `Region<S>` | RegionFactory.`union(Region<S> region1, Region<S> region2)` Compute the union of two regions.
    `Region<S>` | Hyperplane.`wholeSpace()` Build a region covering the whole space.
    `Region<S>` | RegionFactory.`xor(Region<S> region1, Region<S> region2)` Compute the symmetric difference (exclusive or) of two regions.

    Methods in org.apache.commons.math3.geometry.partitioning with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected abstract AbstractSubHyperplane<S,T>` | AbstractSubHyperplane.`buildNew(Hyperplane<S> hyper, Region<T> remaining)` Build a sub-hyperplane from an hyperplane and a region.
    `boolean` | Region.`contains(Region<S> region)` Check if the instance entirely contains another region.
    `boolean` | AbstractRegion.`contains(Region<S> region)` Check if the instance entirely contains another region.
    `Region<S>` | RegionFactory.`difference(Region<S> region1, Region<S> region2)` Compute the difference of two regions.
    `Region<S>` | RegionFactory.`difference(Region<S> region1, Region<S> region2)` Compute the difference of two regions.
    `Region<S>` | RegionFactory.`getComplement(Region<S> region)` Get the complement of the region (exchanged interior/exterior).
    `Region<S>` | RegionFactory.`intersection(Region<S> region1, Region<S> region2)` Compute the intersection of two regions.
    `Region<S>` | RegionFactory.`intersection(Region<S> region1, Region<S> region2)` Compute the intersection of two regions.
    `Region<S>` | RegionFactory.`union(Region<S> region1, Region<S> region2)` Compute the union of two regions.
    `Region<S>` | RegionFactory.`union(Region<S> region1, Region<S> region2)` Compute the union of two regions.
    `Region<S>` | RegionFactory.`xor(Region<S> region1, Region<S> region2)` Compute the symmetric difference (exclusive or) of two regions.
    `Region<S>` | RegionFactory.`xor(Region<S> region1, Region<S> region2)` Compute the symmetric difference (exclusive or) of two regions.

    Constructors in org.apache.commons.math3.geometry.partitioning with parameters of type Region
    Constructor and Description
    `AbstractSubHyperplane(Hyperplane<S> hyperplane, Region<T> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

  - ### Uses of Region in org.apache.commons.math3.geometry.spherical.oned

    Classes in org.apache.commons.math3.geometry.spherical.oned that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `ArcsSet` This class represents a region of a circle: a set of arcs.

    Methods in org.apache.commons.math3.geometry.spherical.oned with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected AbstractSubHyperplane<Sphere1D,Sphere1D>` | SubLimitAngle.`buildNew(Hyperplane<Sphere1D> hyperplane, Region<Sphere1D> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

    Constructors in org.apache.commons.math3.geometry.spherical.oned with parameters of type Region
    Constructor and Description
    `SubLimitAngle(Hyperplane<Sphere1D> hyperplane, Region<Sphere1D> remainingRegion)` Simple constructor.

  - ### Uses of Region in org.apache.commons.math3.geometry.spherical.twod

    Classes in org.apache.commons.math3.geometry.spherical.twod that implement Region
    Modifier and Type | Class and Description
    --- | ---
    `class` | `SphericalPolygonsSet` This class represents a region on the 2-sphere: a set of spherical polygons.

    Methods in org.apache.commons.math3.geometry.spherical.twod with parameters of type Region
    Modifier and Type | Method and Description
    --- | ---
    `protected AbstractSubHyperplane<Sphere2D,Sphere1D>` | SubCircle.`buildNew(Hyperplane<Sphere2D> hyperplane, Region<Sphere1D> remainingRegion)` Build a sub-hyperplane from an hyperplane and a region.

    Constructors in org.apache.commons.math3.geometry.spherical.twod with parameters of type Region
    Constructor and Description
    `SubCircle(Hyperplane<Sphere2D> hyperplane, Region<Sphere1D> remainingRegion)` Simple constructor.

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