Documentation for Geography Markup Language
Definition Type: ComplexType
Name: BSplineType
Namespace: http://www.opengis.net/gml
Type: gml:AbstractCurveSegmentType
Containing Schema: geometryPrimitives.xsd
Abstract
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.
Collapse XSD Schema Diagram:
Drilldown into knot in schema geometryprimitives_xsd Drilldown into degree in schema geometryprimitives_xsd Drilldown into coordinates in schema geometrybasic0d1d_xsd Drilldown into pointRep in schema geometrybasic0d1d_xsd Drilldown into pos in schema geometrybasic0d1d_xsd Drilldown into numDerivativeInterior in schema geometryprimitives_xsd Drilldown into numDerivativesAtEnd in schema geometryprimitives_xsd Drilldown into numDerivativesAtStart in schema geometryprimitives_xsd Drilldown into AbstractCurveSegmentType in schema geometryprimitives_xsd Drilldown into knotType in schema geometryprimitives_xsd Drilldown into isPolynomial in schema geometryprimitives_xsd Drilldown into interpolation in schema geometryprimitives_xsdXSD Diagram of BSplineType in schema geometryprimitives_xsd (Geography Markup Language)
Collapse XSD Schema Code: 
<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 "pointRep" (PointPropertyType) elements. "pos" elements are control points that are only part of this curve segment, "pointRep" 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 "coordinates" 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:pointRep" />
                    </choice>
                    <element ref="gml:coordinates" />
                </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>
Collapse Child Elements:
Name Type Min Occurs Max Occurs
pos gml:pos (1) (1)
pointRep gml:pointRep (1) (1)
coordinates gml:coordinates (1) (1)
degree gml:degree (1) (1)
knot gml:knot 2 unbounded
Collapse Child Attributes:
Name Type Default Value Use
numDerivativesAtStart gml:numDerivativesAtStart 0 Optional
numDerivativesAtEnd gml:numDerivativesAtEnd 0 Optional
numDerivativeInterior gml:numDerivativeInterior 0 Optional
interpolation gml:interpolation polynomialSpline (Optional)
isPolynomial gml:isPolynomial Optional
knotType gml:knotType Optional
Collapse Derivation Tree:
Collapse References:
gml:BezierType, gml:BSpline
Documentation for Geography Markup Language

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