@UML(identifier="GM_Curve", specification=ISO_19107) public interface Curve extends OrientableCurve, GenericCurve
Curve
is a descendent subtype of Primitive
through OrientablePrimitive
. It is the basis for 1dimensional geometry. A curve is a
continuous image of an open interval and so could be written as a parameterized function such as
c(t):(a, b) → E^{n}
where "t" is a real parameter and
E^{n} is Euclidean space of dimension n (usually 2 or 3, as determined by the
coordinate reference system). Any other parameterization that results in the same image curve,
traced in the same direction, such as any linear shifts and positive scales such as
e(t) = c(a + t(ba)):(0,1) → E^{n}
,
is an equivalent representation of the same curve. For the sake of simplicity, Curve
s
should be parameterized by arc length, so that the parameterization operation inherited from
GenericCurve
will be valid for parameters between 0 and the length of the curve.
Curves are continuous, connected, and have a measurable length in terms of the coordinate
system. The orientation of the curve is determined by this parameterization, and is consistent
with the tangent function, which approximates the derivative function of the parameterization and
shall always point in the "forward" direction. The parameterization of the reversal of the curve
defined by c(t):(a, b) → E^{n}
would be defined by a function of
the form s(t) = c(a + b  t):(a, b) → E^{n}
.
A curve is composed of one or more curve segments. Each curve segment within a curve may be defined using a different interpolation method. The curve segments are connected to one another, with the end point of each segment except the last being the start point of the next segment in the segment list.
PrimitiveFactory.createCurve(java.util.List<org.opengis.geometry.primitive.CurveSegment>)
Modifier and Type  Method and Description 

OrientableCurve[] 
getProxy()
Returns the orientable curves associated with this curve.

List<? extends CurveSegment> 
getSegments()
Lists the components curve segments of
Curve , each of which
defines the direct position of points along a portion of the curve. 
getBoundary, getComposite, getPrimitive
getOrientation
getComplexes, getContainedPrimitives, getContainingPrimitives
clone, distance, getBuffer, getCentroid, getClosure, getConvexHull, getCoordinateDimension, getCoordinateReferenceSystem, getDimension, getEnvelope, getMaximalComplex, getMbRegion, getPrecision, getRepresentativePoint, isCycle, isMutable, isSimple, toImmutable, transform, transform
contains, contains, difference, equals, intersection, intersects, symmetricDifference, union
asLineString, forConstructiveParam, forParam, getEndConstructiveParam, getEndParam, getEndPoint, getParamForPoint, getStartConstructiveParam, getStartParam, getStartPoint, getTangent, length, length
@Association(value="Segmentation") @UML(identifier="segment", obligation=MANDATORY, specification=ISO_19107) List<? extends CurveSegment> getSegments()
Curve
, each of which
defines the direct position of points along a portion of the curve. The order of the
curve segments is the order in which they are used to trace this
Curve
. For a particular parameter interval, the Curve
and CurveSegment
agree.null
neither empty.CurveSegment.getCurve()
,
Surface.getPatches()
@Association(value="Oriented") @UML(identifier="proxy", obligation=MANDATORY, specification=ISO_19107) OrientableCurve[] getProxy()
getProxy
in interface Primitive
OrientableCurve.getPrimitive()
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