IfcBSplineCurveWithKnots

Natural language names
deBézier-Spline-Kurve mit (gegebenen) Kontrollpunkten
enBSpline Curve With Knots
Change log
ItemSPFXMLChangeDescription
IFC2x3 to IFC4
    IfcBSplineCurveWithKnotsADDED
IFC4 Addendum 1
    IfcBSplineCurveWithKnots
      DegreeMODIFIEDType changed from INTEGER to IfcInteger.
      ClosedCurveMODIFIEDType changed from LOGICAL to IfcLogical.
      SelfIntersectMODIFIEDType changed from LOGICAL to IfcLogical.
      KnotMultiplicitiesMODIFIEDType changed from INTEGER to IfcInteger.
Semantic definitions at the entity
Entity definition

The IfcBSplineCurveWithKnots is a spline curve parameterized by spline functions for which the knot values are explicitly given.

NOTE  Definition according to ISO/CD 10303-42:1992
This is the type of b-spline curve for which the knot values are explicitly given. This subtype shall be used to represent non-uniform B-spline curves and may be used for other knot types.
Let L denote the number of distinct values amongst the d+k+2 knots in the knot list; L will be referred to as the ‘upper index on knots’. Let mj denote the multiplicity (i.e., number of repetitions) of the jth distinct knot. Then:

formula

All knot multiplicities except the first and the last shall be in the range 1,...,d; the first and last may have a maximum value of d + 1. In evaluating the basis functions, a knot u of, e.g., multiplicity 3 is interpreted as a sequence u, u, u,; in the knot array.
NOTE  Entity adapted from b_spline_curve_with_knots defined in ISO10303-42.
HISTORY  New entity in IFC4.
Attribute definitions
#AttributeTypeCardinalityDescription C
6KnotMultiplicitiesIfcIntegerL[2:?] The multiplicities of the knots. This list defines the number of times each knot in the knots list is to be repeated in constructing the knot array.X
7KnotsIfcParameterValueL[2:?] The list of distinct knots used to define the B-spline basis functions.X
8KnotSpecIfcKnotType[1:1] The description of the knot type. This is for information only.X
UpperIndexOnKnots
:=SIZEOF(Knots)
IfcInteger[1:1]The upper index on the knot arrays; the lower index is 1. X
Formal Propositions
RuleDescription
ConsistentBSplineThe function IfcConstraintsParamBSpline returns TRUE if no inconsistencies in the parametrisation of the B-spline are found.
CorrespondingKnotListsThe number of elements in the knot multiplicities list shall be equal to the number of elements in the knots list.
Inherited definitions from supertypes
Entity inheritance IfcRationalBSplineCurveWithKnots IfcBSplineCurve IfcBoundedCurve IfcCurve IfcGeometricRepresentationItem IfcRepresentationItem
Attribute inheritance
#AttributeTypeCardinalityDescriptionC
IfcRepresentationItem
LayerAssignmentIfcPresentationLayerAssignment
@AssignedItems
S[0:1]Assignment of the representation item to a single or multiple layer(s). The LayerAssignments can override a LayerAssignments of the IfcRepresentation it is used within the list of Items. X
StyledByItemIfcStyledItem
@Item
S[0:1]Reference to the IfcStyledItem that provides presentation information to the representation, e.g. a curve style, including colour and thickness to a geometric curve. X
IfcGeometricRepresentationItem
IfcCurve
Dim
:=IfcCurveDim(SELF)
IfcDimensionCount[1:1]The space dimensionality of this abstract class, defined differently for all subtypes, i.e. for IfcLine, IfcConic and IfcBoundedCurve. X
IfcBoundedCurve
IfcBSplineCurve
1DegreeIfcInteger[1:1] The algebraic degree of the basis functions.X
2ControlPointsListIfcCartesianPointL[2:?] The list of control points for the curve.X
3CurveFormIfcBSplineCurveForm[1:1] Used to identify particular types of curve; it is for information only.X
4ClosedCurveIfcLogical[1:1] Indication of whether the curve is closed; it is for information only.X
5SelfIntersectIfcLogical[1:1] Indication whether the curve self-intersects or not; it is for information only.X
UpperIndexOnControlPoints
:=(SIZEOF(ControlPointsList) - 1)
IfcInteger[1:1]The upper index on the array of control points; the lower index is 0. This value is derived from the control points list. X
ControlPoints
:=IfcListToArray(ControlPointsList,0,UpperIndexOnControlPoints)
IfcCartesianPointA[0:UpperIndexOnControlPoints]The array of control points used to define the geometry of the curve. This is derived from the list of control points. X
IfcBSplineCurveWithKnots
6KnotMultiplicitiesIfcIntegerL[2:?] The multiplicities of the knots. This list defines the number of times each knot in the knots list is to be repeated in constructing the knot array.X
7KnotsIfcParameterValueL[2:?] The list of distinct knots used to define the B-spline basis functions.X
8KnotSpecIfcKnotType[1:1] The description of the knot type. This is for information only.X
UpperIndexOnKnots
:=SIZEOF(Knots)
IfcInteger[1:1]The upper index on the knot arrays; the lower index is 1. X
Formal representations
XSD Specification
 <xs:element name="IfcBSplineCurveWithKnots" type="ifc:IfcBSplineCurveWithKnots" substitutionGroup="ifc:IfcBSplineCurve" nillable="true"/>
 <xs:complexType name="IfcBSplineCurveWithKnots">
  <xs:complexContent>
   <xs:extension base="ifc:IfcBSplineCurve">
    <xs:attribute name="KnotMultiplicities" use="optional">
     <xs:simpleType>
      <xs:restriction>
       <xs:simpleType>
        <xs:list itemType="ifc:IfcInteger"/>
       </xs:simpleType>
       <xs:minLength value="2"/>
      </xs:restriction>
     </xs:simpleType>
    </xs:attribute>
    <xs:attribute name="Knots" use="optional">
     <xs:simpleType>
      <xs:restriction>
       <xs:simpleType>
        <xs:list itemType="ifc:IfcParameterValue"/>
       </xs:simpleType>
       <xs:minLength value="2"/>
      </xs:restriction>
     </xs:simpleType>
    </xs:attribute>
    <xs:attribute name="KnotSpec" type="ifc:IfcKnotType" use="optional"/>
   </xs:extension>
  </xs:complexContent>
 </xs:complexType>
EXPRESS Specification
ENTITY IfcBSplineCurveWithKnots
 SUPERTYPE OF(IfcRationalBSplineCurveWithKnots)
 SUBTYPE OF (IfcBSplineCurve);
  KnotMultiplicities : LIST [2:?] OF IfcInteger;
  Knots : LIST [2:?] OF IfcParameterValue;
  KnotSpec : IfcKnotType;
 DERIVE
  UpperIndexOnKnots : IfcInteger := SIZEOF(Knots);
 WHERE
  ConsistentBSpline : IfcConstraintsParamBSpline(Degree, UpperIndexOnKnots, UpperIndexOnControlPoints, KnotMultiplicities, Knots);
  CorrespondingKnotLists : SIZEOF(KnotMultiplicities) = UpperIndexOnKnots;
END_ENTITY;

Link to EXPRESS-G diagram EXPRESS-G diagram

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