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approximationSettings Element

If this element is specified, the given point list is approximated instead of interpolated when creating a b-spline representation of the profile. This has the advantage of more control over the complexity of the resulting b-spline curves, but does not guarantee that the b-spline curve passes through all given points as for the interpolation approach introducing possible imprecisions in the geometrical representation of the profile.

Namespace: Empty

Schema: Empty

Type
Parents
Children
NameOccurrencesDescription
Sequence Sequence
      Choice Choice
            Element controlPointNumber

Defines the number of control points that should be used for approximating the given points with a B-spline curve. The minimal value is 4.

            Element maximumError

Instead of specifying the number of control points, the positive upper bound for the error of the approximation is provided. The number of control points is increased automatically until the approximation error lies below the given maximum approximation error.

      Element interpolatedPointsIndices[0, 1]

Index list of points that should still be interpolated. Each index is in the range [1, npoints].

Attributes
NameTypeRequiredDescription
Attribute errorComputationMethodRestriction string

Here, the approximation error's computation method can be chosen. The error is computed between the defined points (A) and their respective projections on the approximated curve (B). By default, this error is computed as the root mean square error of the distances between (A) and (B). In the following, the currently allowed entries are listed together with their meaning (-> respective computation method): 1. RMSE: Root Mean Square Error 2. MaxError: Maximum Error

See Also