📄 curvesegment.java
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/*$************************************************************************************************ ** ** $Id: CurveSegment.java,v 1.4 2004/03/10 20:36:46 bvericool Exp $ ** ** $Source: /cvsroot/geoapi/src/org/opengis/spatialschema/geometry/primitive/CurveSegment.java,v $ ** ** Copyright (C) 2003 Open GIS Consortium, Inc. All Rights Reserved. http://www.opengis.org/Legal/ ** *************************************************************************************************/package org.opengis.spatialschema.geometry.primitive;// OpenGIS direct dependenciesimport org.opengis.spatialschema.geometry.geometry.GenericCurve;import org.opengis.spatialschema.geometry.geometry.PointArray;/** * Defines a homogeneous segment of a {@linkplain Curve curve}. * Each <code>CurveSegment</code> shall be in, at most, one {@linkplain Curve curve}. * * @UML type GM_CurveSegment * @author ISO/DIS 19107 * @author <A HREF="http://www.opengis.org">OpenGIS® consortium</A> * @version 2.0 */public interface CurveSegment extends GenericCurve { /** * Returns the curve which own this curve segment. * * <blockquote><font size=2> * <strong>NOTE:</strong> In this specification, curve segments do not appear except in the * context of a curve, and therefore this method should never returns <code>null</code> * which would preclude the use of curve segments except in this manner. While this would * not affect this specification, allowing <code>null</code> owner allows other standards * based on this one to use curve segments in a more open-ended manner. * </font></blockquote> * * @return The owner of this curve segment, or <code>null</code> if none. * @UML association curve * * @see Curve#getSegments */ public Curve getCurve(); /** * Specifies the curve interpolation mechanism used for this segment. This mechanism * uses the control points and control parameters to determine the position of this * <code>CurveSegment</code>. * * @return The interpolation mechanism used for this segment. * @UML operation interpolation */ public CurveInterpolation getInterpolation(); /** * Specifies the type of continuity between this curve segment and its immediate neighbors. * If this is the first curve segment in the curve, this value is ignored. * * <blockquote><font size=2> * <strong>NOTE:</strong> Use of these values is only appropriate when the basic curve * definition is an underdetermined system. For example, line strings and segments cannot * support continuity above C<sup>0</sup>, since there is no spare control parameter to * adjust the incoming angle at the end points of the segment. Spline functions on the * other hand often have extra degrees of freedom on end segments that allow them to adjust * the values of the derivatives to support C<sup>1</sup> or higher continuity. * </font></blockquote> * * @return The type of continuity between this curve semgent and its immediate neighbors. * @UML operation numDerivativesAtStart * * @see #getNumDerivativeInterior * @see #getNumDerivativesAtEnd */ public int getNumDerivativesAtStart(); /** * Specifies the type of continuity that is guaranteed interior to the curve. The default * value of "0" means simple continuity, which is a mandatory minimum level of continuity. * This level is referred to as "C<sup>0</sup>" in mathematical texts. A value of 1 means * that the function and its first derivative are continuous at the appropriate end point: * "C<sup>1</sup>" continuity. A value of "n" for any integer means the function and its * first <var>n</var> derivatives are continuous: "C<sup>n</sup>" continuity. * * @return The type of continuity that is guaranteed interior to the curve. * @UML operation numDerivativeInterior * * @see #getNumDerivativesAtStart * @see #getNumDerivativesAtEnd */ public int getNumDerivativeInterior(); /** * Specifies the type of continuity between this curve segment and its immediate neighbors. * If this is the last curve segment in the curve, this value is ignored. * * <blockquote><font size=2> * <strong>NOTE:</strong> Use of these values is only appropriate when the basic curve * definition is an underdetermined system. For example, line strings and segments cannot * support continuity above C<sup>0</sup>, since there is no spare control parameter to * adjust the incoming angle at the end points of the segment. Spline functions on the * other hand often have extra degrees of freedom on end segments that allow them to adjust * the values of the derivatives to support C<sup>1</sup> or higher continuity. * </font></blockquote> * * @return The type of continuity between this curve semgent and its immediate neighbors. * @UML operation numDerivativesAtEnd * * @see #getNumDerivativesAtStart * @see #getNumDerivativeInterior */ public int getNumDerivativesAtEnd(); /** * Returns an ordered array of point values that lie on the {@linkplain CurveSegment curve segment}. * In most cases, these will be related to control points used in the construction of the segment. * The control points of a curve segment are use to control its shape, and are not always on the * curve segment itself. For example in a spline curve, the curve segment is given as a weighted * vector sum of the control points. Each weight function will have a maximum within the * constructive parameter interval, which will roughly correspond to the point on the curve * where it passes closest that the corresponding control point. These points, the values of * the curve at the maxima of the weight functions, will be the sample points for the curve * segment. * * @return The control points. * @UML operation samplePoint */ public PointArray getSamplePoints(); /** * Returns an ordered pair of points, which are the start point and end point of the curve. * This method operates with the same semantics as that on {@linkplain Curve#getBoundary curve} * except that the end points of a <code>CurveSegment</code> are not necessarily existing * {@linkplain Point points} and thus the boundary may contain transient {@linkplain Point points}. * * <blockquote><font size=2> * <strong>NOTE:</strong> The above {@linkplain CurveBoundary curve boundary} will almost always * be two distinct positions, but, like {@linkplain Curve curves}, <code>CurveSegment</code>s can * be cycles in themselves. The most likely scenario is that all of the points used will be transients * (constructed to support the return value), except for the start point and end point of the aggregated * {@linkplain Curve curve}. These two positions, in the case where the {@linkplain Curve curve} is * involved in a {@linkplain org.opengis.spatialschema.geometry.complex.Complex complex}, will be represented as * {@linkplain Point points} in the same {@linkplain org.opengis.spatialschema.geometry.complex.Complex complex}. * </font></blockquote> * * @return The sets of positions on the boundary. * @UML operation boundary */ public CurveBoundary getBoundary(); /** * Reverses the orientation of the parameterizations of the segment. * * @return The reverse of this curve segment. * @UML operation reverse */ public CurveSegment reverse();}
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