📄 genericsurface.java
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/*$************************************************************************************************ ** ** $Id: GenericSurface.java,v 1.3.2.1 2004/05/18 11:20:29 desruisseaux Exp $ ** ** $Source: /cvsroot/geoapi/src/org/opengis/spatialschema/geometry/geometry/GenericSurface.java,v $ ** ** Copyright (C) 2003 Open GIS Consortium, Inc. All Rights Reserved. http://www.opengis.org/Legal/ ** *************************************************************************************************/package org.opengis.spatialschema.geometry.geometry;// OpenGIS direct dependenciesimport org.opengis.spatialschema.geometry.DirectPosition;/** * Common interface for {@linkplain org.opengis.spatialschema.geometry.primitive.Surface surface} and * {@linkplain org.opengis.spatialschema.geometry.primitive.SurfacePatch surface patch}. <code>Surface</code> * and <code>SurfacePatch</code> represent sections of surface geometry, * and therefore share a number of operation signatures. * * @UML type GM_GenericSurface * @author ISO/DIS 19107 * @author <A HREF="http://www.opengis.org">OpenGIS® consortium</A> * @version 2.0 */public interface GenericSurface { /** * Returns a vector perpendicular to the <code>GenericSurface</code> at the * {@linkplain DirectPosition direct position} passed, which must be on this * <code>GenericSurface</code>. The upward normal always points upward in a * manner consistent with the boundary. This means that the exterior boundary * of the surface is counterclockwise when viewed from the side of the surface * indicated by the <code>upNormal</code>. Interior boundaries are clockwise. * The side of the surface indicated by the <code>upNormal</code> is referred * to as the "top." The function "upNormal" shall be continuous and the length * of the normal shall always be equal to 1.0. * * <blockquote><font size=2> * <strong>NOTE:</strong> The upNormal along a boundary of a solid always points away from the * solid. This is a slight semantics problem in dealing with voids within solids, where the * upNormal (for sake of mathematical consistency) points into the center of the voided region, * which linguistically can be considered the interior of the void. What the confusion is here * is that the basic linguistic metaphors used in most languages for "interior of solid" and * for "interior of container" use "inward" in inconsistent manners from a topological point * of view. The void "in" rock is not inside the rock in the same manner as the solid material * that makes up the substance of the rock. Nor is the coffee "in" the cup the same "in" as * the ceramic glass "in" the cup. The use of these culturally derived metaphors may not be * consistent across all languages, some of which may use different prepositions for these two * different concepts. This specification uses the linguistically neutral concept of "interior" * derived from mathematics (topology). * </font></blockquote> * * @param point The point on this <code>GenericSurface</code> where to compute the upNormal. * @return The upNormal unit vector. * @UML operation upNormal */ public double[] getUpNormal(DirectPosition point); /** * Returns the sum of the lengths of all the boundary components of this * <code>GenericSurface</code>. Since perimeter, like length, is an accumulation * (integral) of distance, its return value shall be in a reference system appropriate * for measuring distances. * * <blockquote><font size=2> * <strong>NOTE:</strong> The perimeter is defined as the sum of the lengths of all boundary * components. The length of a curve or of a collection of curves is always positive and * non-zero (unless the curve is pathological). This means that holes in surfaces will * contribute positively to the total perimeter. * </font></blockquote> * * @return The perimeter. * @unitof Length * @UML operation perimeter */ public double getPerimeter(); /** * Returns the area of this <code>GenericSurface</code>. The area of a 2-dimensional geometric * object shall be a numeric measure of its surface area (in a square unit of distance). Since * area is an accumulation (integral) of the product of two distances, its return value shall * be in a unit of measure appropriate for measuring distances squared, such as meters squared * (m<sup>2</sup>). * * <blockquote><font size=2> * <strong>NOTE:</strong> Consistent with the definition of surface as a set of * {@linkplain DirectPosition direct positions}, holes in the surfaces will not contribute to * the total area. If the usual Green's Theorem (or more general Stokes' Theorem) integral is * used, the integral around the holes in the surface are subtracted from the integral * about the exterior of the surface patch. * </font></blockquote> * * @return The area. * @unitof Area * @UML operation area */ public double getArea();}
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