/*$************************************************************************************************
**
** $Id: SurfaceBoundary.java 831 2006-05-01 00:27:23Z Desruisseaux $
**
** $URL: http://svn.code.sf.net/p/geoapi/code/branches/2.0.x/geoapi/src/main/java/org/opengis/spatialschema/geometry/primitive/SurfaceBoundary.java $
**
** Copyright (C) 2003-2005 Open GIS Consortium, Inc.
** All Rights Reserved. http://www.opengis.org/legal/
**
*************************************************************************************************/
package org.opengis.spatialschema.geometry.primitive;
// Annotations
import org.opengis.annotation.UML;
import static org.opengis.annotation.Obligation.*;
import static org.opengis.annotation.Specification.*;
/**
* The boundary of {@linkplain Surface surfaces}. A {@code SurfaceBoundary} consists of some number
* of {@linkplain Ring rings}, corresponding to the various components of its boundary. In the normal 2D
* case, one of these rings is distinguished as being the exterior boundary. In a general manifold this
* is not always possible, in which case all boundaries shall be listed as interior boundaries,
* and the exterior will be empty.
*
*
* NOTE: The use of exterior and interior here is not intended to invoke the
* definitions of "interior" and "exterior" of geometric objects. The terms are in common usage,
* and reflect a linguistic metaphor that uses the same linguistic constructs for the concept of
* being inside an object to being inside a container. In normal mathematical terms, the exterior
* boundary is the one that appears in the Jordan Separation Theorem (Jordan Curve Theorem extended
* beyond 2D). The exterior boundary is the one that separates the surface (or solid in 3D) from
* infinite space. The interior boundaries separate the object at hand from other bounded objects.
* The uniqueness of the exterior comes from the uniqueness of unbounded space. Essentially, the
* Jordan Separation Theorem shows that normal 2D or 3D space separates into bounded and unbounded
* pieces by the insertion of a ring or shell, respectively. It goes beyond that, but this
* specification is restricted to at most 3 dimensions.
*
* EXAMPLE 1: If the underlying manifold is an infinite cylinder, then two
* transverse cuts of the cylinder define a compact surface between the cuts, and two separate
* unbounded portions of the cylinders. In this case, either cut could reasonably be called
* exterior. In cases of such ambiguity, the standard chooses to list all boundaries in the
* "interior" set. The only guarantee of an exterior boundary being unique is in the 2-dimensional
* plane, E2.
*
* EXAMPLE 2: Taking the equator of a sphere, and generating a 1 meter buffer,
* we have a surface with two isomorphic boundary components. There is no unbiased manner to
* distinguish one of these as an exterior.
*
*
* @version Abstract specification 5
* @author Martin Desruisseaux (IRD)
* @since GeoAPI 1.0
*
* @see SolidBoundary
*/
@UML(identifier="GM_SurfaceBoundary", specification=ISO_19107)
public interface SurfaceBoundary extends PrimitiveBoundary {
/**
* Returns the exterior ring, or {@code null} if none.
*
* @return The exterior ring, or {@code null}.
*/
@UML(identifier="exterior", obligation=MANDATORY, specification=ISO_19107)
public Ring getExterior();
/**
* Returns the interior rings.
*
* @return The interior rings. Never {@code null}, but may be an empty array.
*/
@UML(identifier="interior", obligation=MANDATORY, specification=ISO_19107)
public Ring[] getInteriors();
}
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