complexType BezierType
diagram index_p1505.png
namespace http://www.opengis.net/gml
type restriction of gml:BSplineType
properties
base gml:BSplineType
children gml:pos gml:pointProperty gml:pointRep gml:posList gml:coordinates gml:degree gml:knot
used by
element Bezier
attributes
Name  Type  Use  Default  Fixed  annotation
numDerivativesAtStartxs:integeroptional  0    
documentation
The attribute "numDerivativesAtStart" specifies the type of continuity between this curve segment and its predecessor. If this is the first curve segment in the curve, one of these values, as appropriate, is ignored. The default value of "0" means simple continuity, which is a mandatory minimum level of continuity. This level is referred to as "C 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity.
NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , 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 1 or higher continuity.
numDerivativesAtEndxs:integeroptional  0    
documentation
The attribute "numDerivativesAtEnd" specifies the type of continuity between this curve segment and its successor. If this is the last curve segment in the curve, one of these values, as appropriate, is ignored. The default value of "0" means simple continuity, which is a mandatory minimum level of continuity. This level is referred to as "C 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity.
NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , 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 1 or higher continuity.
numDerivativeInteriorxs:integeroptional  0    
documentation
The attribute "numDerivativesInterior" 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 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity.
NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , 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 1 or higher continuity.
interpolationgml:CurveInterpolationType    polynomialSpline  
documentation
The attribute "interpolation" specifies the curve interpolation mechanism used for this segment. This mechanism
uses the control points and control parameters to determine the position of this curve segment. For a Bezier the interpolation is fixed as "polynomialSpline".
isPolynomialxs:boolean    true  
documentation
The attribute isPolynomial is set to true as this is a polynomial spline.
knotTypegml:KnotTypesTypeprohibited      
documentation
The property "knotType" is not relevant for Bezier curve segments.
annotation
documentation
Bezier curves are polynomial splines that use Bezier or Bernstein polynomials for interpolation purposes. It is a special case of the B-Spline curve with two knots.
source <xs:complexType name="BezierType">
  <xs:annotation>
    <xs:documentation>Bezier curves are polynomial splines that use Bezier or Bernstein polynomials for interpolation purposes. It is a special case of the B-Spline curve with two knots.</xs:documentation>
  </xs:annotation>
  <xs:complexContent>
    <xs:restriction base="gml:BSplineType">
      <xs:sequence>
        <xs:choice>
          <xs:annotation>
            <xs:documentation>GML supports two different ways to specify the control points of a curve segment.
1. A sequence of "pos" (DirectPositionType) or "pointProperty" (PointPropertyType) elements. "pos" elements are control points that are only part of this curve segment, "pointProperty" elements contain a point that may be referenced from other geometry elements or reference another point defined outside of this curve segment (reuse of existing points).
2. The "posList" element allows for a compact way to specifiy the coordinates of the control points, if all control points are in the same coordinate reference systems and belong to this curve segment only.</xs:documentation>
          </xs:annotation>
          <xs:choice minOccurs="0" maxOccurs="unbounded">
            <xs:element ref="gml:pos"/>
            <xs:element ref="gml:pointProperty"/>
            <xs:element ref="gml:pointRep">
              <xs:annotation>
                <xs:documentation>Deprecated with GML version 3.1.0. Use "pointProperty" instead. Included for backwards compatibility with GML 3.0.0.</xs:documentation>
              </xs:annotation>
            </xs:element>
          </xs:choice>
          <xs:element ref="gml:posList"/>
          <xs:element ref="gml:coordinates">
            <xs:annotation>
              <xs:documentation>Deprecated with GML version 3.1.0. Use "posList" instead.</xs:documentation>
            </xs:annotation>
          </xs:element>
        </xs:choice>
        <xs:element name="degree" type="nonNegativeInteger">
          <xs:annotation>
            <xs:documentation>The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.</xs:documentation>
          </xs:annotation>
        </xs:element>
        <xs:element name="knot" type="gml:KnotPropertyType" minOccurs="2" maxOccurs="2">
          <xs:annotation>
            <xs:documentation>The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.</xs:documentation>
          </xs:annotation>
        </xs:element>
      </xs:sequence>
      <xs:attribute name="interpolation" type="gml:CurveInterpolationType" fixed="polynomialSpline">
        <xs:annotation>
          <xs:documentation>The attribute "interpolation" specifies the curve interpolation mechanism used for this segment. This mechanism
uses the control points and control parameters to determine the position of this curve segment. For a Bezier the interpolation is fixed as "polynomialSpline".</xs:documentation>
        </xs:annotation>
      </xs:attribute>
      <xs:attribute name="isPolynomial" type="boolean" fixed="true">
        <xs:annotation>
          <xs:documentation>The attribute isPolynomial is set to true as this is a polynomial spline.</xs:documentation>
        </xs:annotation>
      </xs:attribute>
      <xs:attribute name="knotType" type="gml:KnotTypesType" use="prohibited">
        <xs:annotation>
          <xs:documentation>The property "knotType" is not relevant for Bezier curve segments.</xs:documentation>
        </xs:annotation>
      </xs:attribute>
    </xs:restriction>
  </xs:complexContent>
</xs:complexType>

attribute BezierType/@interpolation
type gml:CurveInterpolationType
properties
isRef 0
fixed polynomialSpline
facets
Kind Value annotation 
enumeration linear 
enumeration geodesic 
enumeration circularArc3Points 
enumeration circularArc2PointWithBulge 
enumeration circularArcCenterPointWithRadius 
enumeration elliptical 
enumeration clothoid 
enumeration conic 
enumeration polynomialSpline 
enumeration cubicSpline 
enumeration rationalSpline 
annotation
documentation
The attribute "interpolation" specifies the curve interpolation mechanism used for this segment. This mechanism
uses the control points and control parameters to determine the position of this curve segment. For a Bezier the interpolation is fixed as "polynomialSpline".
source <xs:attribute name="interpolation" type="gml:CurveInterpolationType" fixed="polynomialSpline">
  <xs:annotation>
    <xs:documentation>The attribute "interpolation" specifies the curve interpolation mechanism used for this segment. This mechanism
uses the control points and control parameters to determine the position of this curve segment. For a Bezier the interpolation is fixed as "polynomialSpline".</xs:documentation>
  </xs:annotation>
</xs:attribute>

attribute BezierType/@isPolynomial
type xs:boolean
properties
isRef 0
fixed true
annotation
documentation
The attribute isPolynomial is set to true as this is a polynomial spline.
source <xs:attribute name="isPolynomial" type="boolean" fixed="true">
  <xs:annotation>
    <xs:documentation>The attribute isPolynomial is set to true as this is a polynomial spline.</xs:documentation>
  </xs:annotation>
</xs:attribute>

attribute BezierType/@knotType
type gml:KnotTypesType
properties
isRef 0
use prohibited
facets
Kind Value annotation 
enumeration uniform 
enumeration quasiUniform 
enumeration piecewiseBezier 
annotation
documentation
The property "knotType" is not relevant for Bezier curve segments.
source <xs:attribute name="knotType" type="gml:KnotTypesType" use="prohibited">
  <xs:annotation>
    <xs:documentation>The property "knotType" is not relevant for Bezier curve segments.</xs:documentation>
  </xs:annotation>
</xs:attribute>

element BezierType/degree
diagram index_p1506.png
namespace http://www.opengis.net/gml
type xs:nonNegativeInteger
properties
isRef 0
content simple
annotation
documentation
The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.
source <xs:element name="degree" type="nonNegativeInteger">
  <xs:annotation>
    <xs:documentation>The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.</xs:documentation>
  </xs:annotation>
</xs:element>

element BezierType/knot
diagram index_p1507.png
namespace http://www.opengis.net/gml
type gml:KnotPropertyType
properties
isRef 0
minOcc 2
maxOcc 2
content complex
children gml:Knot
annotation
documentation
The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.
source <xs:element name="knot" type="gml:KnotPropertyType" minOccurs="2" maxOccurs="2">
  <xs:annotation>
    <xs:documentation>The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.</xs:documentation>
  </xs:annotation>
</xs:element>


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