Law_BSpline.hxx File Reference

#include <Standard.hxx>
#include <Standard_DefineHandle.hxx>
#include <Handle_Law_BSpline.hxx>
#include <Standard_Boolean.hxx>
#include <GeomAbs_BSplKnotDistribution.hxx>
#include <GeomAbs_Shape.hxx>
#include <Standard_Integer.hxx>
#include <Handle_TColStd_HArray1OfReal.hxx>
#include <Handle_TColStd_HArray1OfInteger.hxx>
#include <MMgt_TShared.hxx>
#include <Standard_Real.hxx>

Data Structures
class	Law_BSpline
	Definition of the 1D B_spline curve. Uniform or non-uniform Rational or non-rational Periodic or non-periodic a b-spline curve is defined by : The Degree (up to 25) The Poles (and the weights if it is rational) The Knots and Multiplicities The knot vector is an increasing sequence of reals without repetition. The multiplicities are the repetition of the knots. If the knots are regularly spaced (the difference of two consecutive knots is a constant), the knots repartition is : Uniform if all multiplicities are 1. Quasi-uniform if all multiplicities are 1 but the first and the last which are Degree+1. PiecewiseBezier if all multiplicites are Degree but the first and the last which are Degree+1. The curve may be periodic. On a periodic curve if there are k knots and p poles. the period is knot(k) - knot(1) the poles and knots are infinite vectors with : knot(i+k) = knot(i) + period pole(i+p) = pole(i) References : . A survey of curve and surface methods in CADG Wolfgang BOHM CAGD 1 (1984) . On de Boor-like algorithms and blossoming Wolfgang BOEHM cagd 5 (1988) . Blossoming and knot insertion algorithms for B-spline curves Ronald N. GOLDMAN . Modelisation des surfaces en CAO, Henri GIAUME Peugeot SA . Curves and Surfaces for Computer Aided Geometric Design, a practical guide Gerald Farin More...