ImplicitGeometry

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geometry
Class ImplicitGeometry

java.lang.Object
  geometry.ImplicitGeometry

All Implemented Interfaces:: Geometry

public class ImplicitGeometry
extends java.lang.Object
implements Geometry

A default affine geometry for cells, which are not points. If a GeoComplex doesn't contain any information about the geometry of a d-dimensional cell, it is assumed that the cell is a part of a d-dimensional affine space bounded by the cells in the boundary of the cell. The affine space is implicitly defined by the location and geometry of the boundary-cells. This works only if the boundary-cells are all contained in a unique d-dimensional affine space.

Author:: karsten

Field Summary
`protected GeoCell`	`cell`
`protected GeoComplex`	`complex`
`protected AffineSpace`	`space`

Constructor Summary
`ImplicitGeometry(GeoComplex complex, GeoCell cell)` Constructs the implicit geometry for a given cell of a GeoComplex.

Method Summary
`void`	`addIntersection(HyperPlane plane, EditableGeoComplex target)`
`AffineSpace`	`affineClosure()` Computes the smallest affine space, which contains this geometry
`boolean`	`canBeContainedIn(Geometry other)` Tests, if this geometry knows how to test if is contained in another geometry.
`boolean`	`canContain(Geometry other)` Tests, if this geometry knows how to test if it contains another geometry.
`boolean`	`canIntersect(Geometry other)` Tests, if this geometry knows how to intersect itself with another geometry.
`boolean`	`contains(Geometry other)` Tests, if this geometry contains another geometry.
`int`	`dim()` Returns the dimension of this geometry.
`private AffineSpace`	`generatedSpace(GeoComplex complex, GeoCell cell)` Computes the smallest affine space containing the boundary of a given cell
`Vector`	`getNormal(Point p)` Returns a normal vector onto a hypersurface in a given point (only possible if `dim()+1 == outerDim()`)
`Point`	`getOrigin()` The origin of the local coordinate system.
`Geometry`	`getRandomRay(Point origin)` Construct a random one-dimensional submanifold, containing a given point.
`Geometry`	`intersection(Geometry other)` Intersects this geometry with another.
`boolean`	`isContainedIn(Geometry other)` Tests, if this geometry is contained in another geometry.
`Point`	`localization(Point p)` Converts a point (which is contained in the geometry) to coordinates local to the geometry.
`private java.awt.Shape`	`makePolygon(java.util.Collection corners)` Constructs a polygon from a collection of `Point2D` objects.
`int`	`outerDim()` Returns the dimension of the euclidean space containing this geometry.
`private java.util.Collection`	`sortPolyCorners(java.util.Collection edges)` Sorts the endpoints of a collection of `Line2D`-objects, so that these points describe the contiuous, closed path defined by the lines.
`java.awt.Shape`	`toShape(java.awt.geom.AffineTransform transform)` Returns the cell as Shape (only possible for 2-dimensional Complexes).

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

complex

protected GeoComplex complex

cell

protected GeoCell cell

space

protected AffineSpace space

Constructor Detail

ImplicitGeometry

public ImplicitGeometry(GeoComplex complex,
                        GeoCell cell)

Constructs the implicit geometry for a given cell of a GeoComplex.
Parameters:: complex - a GeoComplex; cell - the cell contained in the complex, whose geometry will be described

Method Detail