| | BSplCLib B-spline curve Library.
The BSplCLib package is a basic library for BSplines. It
provides three categories of functions.
* Management methods to process knots and multiplicities.
* Multi-Dimensions spline methods. BSpline methods where
poles have an arbitrary number of dimensions. They divides
in two groups :
- Global methods modifying the whole set of poles. The
poles are described by an array of Reals and a
Dimension. Example : Inserting knots.
- Local methods computing points and derivatives. The
poles are described by a pointer on a local array of
Reals and a Dimension. The local array is modified.
* 2D and 3D spline curves methods.
Methods for 2d and 3d BSplines curves rational or not
rational.
Those methods have the following structure :
- They extract the pole informations in a working array.
- They process the working array with the
multi-dimension methods. (for example a 3d rational
curve is processed as a 4 dimension curve).
- They get back the result in the original dimension.
Note that the bspline surface methods found in the
package BSplSLib uses the same structure and rely on
BSplCLib.
In the following list of methods the 2d and 3d curve
methods will be described with the corresponding
multi-dimension method.
The 3d or 2d B-spline curve is defined with :
. its control points : TColgp_Array1OfPnt(2d) Poles
. its weights : TColStd_Array1OfReal Weights
. its knots : TColStd_Array1OfReal Knots
. its multiplicities : TColStd_Array1OfInteger Mults
. its degree : Standard_Integer Degree
. its periodicity : Standard_Boolean Periodic
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1.6.3