gml:Bezier

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.
degree shall be the degree of the polynomial used for interpolation in this spline.
knot shall be the sequence of distinct knots used to define the spline basis functions.
interpolation is fixed as "polynomialSpline".
isPolynomial is fixed as "true".
knotType is not relevant for Bezier curve segments.

Element information

Namespace: http://www.opengis.net/gml/3.2

Schema document: external/ogc/gml/3.2.1/geometryPrimitives.xsd

Type: gml:BezierType

Properties: Global, Qualified

Content

Sequence [1..1]
1. Choice [1..1]
  - Choice [0..*]
    - gml:pos
    - gml:pointPropertyThis property element either references a point via the XLink-attributes or contains the point element. pointProperty is the predefined property which may be used by GML Application Schemas whenever a GML feature has a property with a value that is substitutable for Point.
    - gml:pointRep
  - gml:posList
  - gml:coordinates
2. gml:degree [1..1]
3. gml:knot [2..2]

Attributes

Name	Occ	Type	Notes
numDerivativesAtStart	[0..1]	xsd:integer	Default value is "0". from type gml:AbstractCurveSegmentType
numDerivativesAtEnd	[0..1]	xsd:integer	Default value is "0". from type gml:AbstractCurveSegmentType
numDerivativeInterior	[0..1]	xsd:integer	Default value is "0". from type gml:AbstractCurveSegmentType
interpolation	[0..1]	gml:CurveInterpolationType	Fixed value is "polynomialSpline".
isPolynomial	[0..1]	xsd:boolean	Fixed value is "true".

Used in

Type gml:ArrayAssociationType (Element gml:members)
Type gml:CurveSegmentArrayPropertyType (Element gml:segments)

Substitution hierarchy

gml:AbstractObject
- can be substituted with gml:AbstractCurveSegment
  - can be substituted with gml:BSpline
    - can be substituted with gml:Bezier

Sample instance

<gml:Bezier>
   <gml:pos>1.0 1.0</gml:pos>
   <gml:degree>1</gml:degree>
   <gml:knot>
      <gml:Knot>
         <gml:value>1.0</gml:value>
         <gml:multiplicity>1</gml:multiplicity>
         <gml:weight>1.0</gml:weight>
      </gml:Knot>
   </gml:knot>
</gml:Bezier>