/* * GeoTools - The Open Source Java GIS Toolkit * http://geotools.org * * (C) 2011, Open Source Geospatial Foundation (OSGeo) * (C) 2003-2005, Open Geospatial Consortium Inc. * * All Rights Reserved. http://www.opengis.org/legal/ */ package org.opengis.geometry.primitive; import java.util.List; 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. * * <blockquote><font size=2> * <strong>NOTE:</strong> 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. * <p> * <strong>EXAMPLE 1:</strong> 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, E<sup>2</sup>. * <p> * <strong>EXAMPLE 2:</strong> 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. * </font></blockquote> * * * @source $URL: http://svn.osgeo.org/geotools/trunk/modules/library/opengis/src/main/java/org/opengis/geometry/primitive/SurfaceBoundary.java $ * @version <A HREF="http://www.opengeospatial.org/standards/as">ISO 19107</A> * @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) Ring getExterior(); /** * Returns the interior rings. * * @return The interior rings. Never {@code null}, but may be an empty array. * * @todo Consider using a Collection return type instead. */ @UML(identifier="interior", obligation=MANDATORY, specification=ISO_19107) List<Ring> getInteriors(); }