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Annotations
Attributes
Diagrams
Facets
Properties
Source
Used by
Element gml:BSplineType/gml:degree
Namespace http://www.opengis.net/gml
Annotations
 
The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.
Diagram
Diagram
Type nonNegativeInteger
Properties
content: simple
Source
 
<element name="degree" type="nonNegativeInteger">
  <annotation>
    <documentation>The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.</documentation>
  </annotation>
</element>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
Element gml:BSplineType/gml:knot
Namespace http://www.opengis.net/gml
Annotations
 
The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.
Diagram
Diagram docindex2.tmp#id527 docindex2.tmp#id526
Type gml:KnotPropertyType
Properties
content: complex
minOccurs: 2
maxOccurs: unbounded
Model gml:Knot
Children gml:Knot
Source
 
<element name="knot" type="gml:KnotPropertyType" minOccurs="2" maxOccurs="unbounded">
  <annotation>
    <documentation>The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.</documentation>
  </annotation>
</element>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
Complex Type gml:BSplineType
Namespace http://www.opengis.net/gml
Annotations
 
A B-Spline is a piecewise parametric polynomial or rational curve described in terms of control points and basis functions. Knots are breakpoints on the curve that connect its pieces. They are given as a non-decreasing sequence of real numbers. If the weights in the knots are equal then it is a polynomial spline. The degree is the algebraic degree of the basis functions.
Diagram
Diagram docindex25.tmp#id463 docindex25.tmp#id464 docindex25.tmp#id465 docindex25.tmp#id462 docindex393.tmp#id531 docindex393.tmp#id532 docindex393.tmp#id533 docindex27.tmp#id75 docindex28.tmp#id247 docindex29.tmp#id428 docindex30.tmp#id429 docindex31.tmp#id76 docindex393.tmp#id529 docindex393.tmp#id530
Type extension of gml:AbstractCurveSegmentType
Type hierarchy
Used by
Element gml:BSpline
Complex Type gml:BezierType
Model (gml:pos | gml:pointProperty | gml:pointRep | gml:posList | gml:coordinates) , gml:degree , gml:knot{2,unbounded}
Children gml:coordinates, gml:degree, gml:knot, gml:pointProperty, gml:pointRep, gml:pos, gml:posList
Attributes
QName Type Fixed Default Use Annotation
interpolation gml:CurveInterpolationType polynomialSpline optional 
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 BSpline the interpolation can be either "polynomialSpline" or "rationalSpline", default is "polynomialSpline".
isPolynomial boolean optional 
The attribute isPolynomial is set to true if this is a polynomial spline.
knotType gml:KnotTypesType optional 
The attribute "knotType" gives the type of knot distribution used in defining this spline. This is for information only
and is set according to the different construction-functions.
numDerivativeInterior integer 0 optional 
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.
numDerivativesAtEnd integer 0 optional 
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.
numDerivativesAtStart integer 0 optional 
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.
Source
 
<complexType name="BSplineType">
  <annotation>
    <documentation>A B-Spline is a piecewise parametric polynomial or rational curve described in terms of control points and basis functions. Knots are breakpoints on the curve that connect its pieces. They are given as a non-decreasing sequence of real numbers. If the weights in the knots are equal then it is a polynomial spline. The degree is the algebraic degree of the basis functions.</documentation>
  </annotation>
  <complexContent>
    <extension base="gml:AbstractCurveSegmentType">
      <sequence>
        <choice>
          <annotation>
            <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.</documentation>
          </annotation>
          <choice minOccurs="0" maxOccurs="unbounded">
            <element ref="gml:pos"/>
            <element ref="gml:pointProperty"/>
            <element ref="gml:pointRep">
              <annotation>
                <documentation>Deprecated with GML version 3.1.0. Use "pointProperty" instead. Included for backwards compatibility with GML 3.0.0.</documentation>
              </annotation>
            </element>
          </choice>
          <element ref="gml:posList"/>
          <element ref="gml:coordinates">
            <annotation>
              <documentation>Deprecated with GML version 3.1.0. Use "posList" instead.</documentation>
            </annotation>
          </element>
        </choice>
        <element name="degree" type="nonNegativeInteger">
          <annotation>
            <documentation>The attribute "degree" shall be the degree of the polynomial used for interpolation in this spline.</documentation>
          </annotation>
        </element>
        <element name="knot" type="gml:KnotPropertyType" minOccurs="2" maxOccurs="unbounded">
          <annotation>
            <documentation>The property "knot" shall be the sequence of distinct knots used to define the spline basis functions.</documentation>
          </annotation>
        </element>
      </sequence>
      <attribute name="interpolation" type="gml:CurveInterpolationType" default="polynomialSpline">
        <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 BSpline the interpolation can be either "polynomialSpline" or "rationalSpline", default is "polynomialSpline".</documentation>
        </annotation>
      </attribute>
      <attribute name="isPolynomial" type="boolean" use="optional">
        <annotation>
          <documentation>The attribute isPolynomial is set to true if this is a polynomial spline.</documentation>
        </annotation>
      </attribute>
      <attribute name="knotType" type="gml:KnotTypesType" use="optional">
        <annotation>
          <documentation>The attribute "knotType" gives the type of knot distribution used in defining this spline. This is for information only and is set according to the different construction-functions.</documentation>
        </annotation>
      </attribute>
    </extension>
  </complexContent>
</complexType>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
Attribute gml:BSplineType/@interpolation
Namespace No namespace
Annotations
 
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 BSpline the interpolation can be either "polynomialSpline" or "rationalSpline", default is "polynomialSpline".
Type gml:CurveInterpolationType
Properties
default: polynomialSpline
Facets
enumeration linear, geodesic, circularArc3Points, circularArc2PointWithBulge, circularArcCenterPointWithRadius, elliptical, clothoid, conic, polynomialSpline, cubicSpline, rationalSpline
Used by
Complex Type gml:BSplineType
Source
 
<attribute name="interpolation" type="gml:CurveInterpolationType" default="polynomialSpline">
  <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 BSpline the interpolation can be either "polynomialSpline" or "rationalSpline", default is "polynomialSpline".</documentation>
  </annotation>
</attribute>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
Attribute gml:BSplineType/@isPolynomial
Namespace No namespace
Annotations
 
The attribute isPolynomial is set to true if this is a polynomial spline.
Type boolean
Properties
use: optional
Used by
Complex Type gml:BSplineType
Source
 
<attribute name="isPolynomial" type="boolean" use="optional">
  <annotation>
    <documentation>The attribute isPolynomial is set to true if this is a polynomial spline.</documentation>
  </annotation>
</attribute>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
Attribute gml:BSplineType/@knotType
Namespace No namespace
Annotations
 
The attribute "knotType" gives the type of knot distribution used in defining this spline. This is for information only
and is set according to the different construction-functions.
Type gml:KnotTypesType
Properties
use: optional
Facets
enumeration uniform, quasiUniform, piecewiseBezier
Used by
Complex Type gml:BSplineType
Source
 
<attribute name="knotType" type="gml:KnotTypesType" use="optional">
  <annotation>
    <documentation>The attribute "knotType" gives the type of knot distribution used in defining this spline. This is for information only and is set according to the different construction-functions.</documentation>
  </annotation>
</attribute>
Schema location http://schemas.opengis.net/gml/3.1.1/base/geometryPrimitives.xsd
XML Schema documentation generated by ® XML Editor.