PolyBasis Namespace Reference

refer to CAGD by Sederburg for mathematical definitions More...

Functions
double	Bernstein1D (int indx, int degree, double t)
	1D Bernstein basis functions More...
double	DerivBernstein1D (int indx, int degree, double t)
	Bernstein basis derivatives in 1D, w.r.t. the t coordinates.
double	Lagrange1D (int indx, int degree, double t)
	1D Lagrange basis functions. note: this function assumes equally spaced param coords
double	BernsteinTri (int indx1, int indx2, int degree, double l1, double l2)
	2D Bernstein basis of degree n over a triangle More...
double	DerivBernsteinTri (int indx1, int indx2, int degree, double u, double v, int dir)
	Bernstein polynomial derivatives. More...

Detailed Description

refer to CAGD by Sederburg for mathematical definitions

Function Documentation

double PolyBasis::Bernstein1D	(	int	i,
		int	n,
		double	t
	)

1D Bernstein basis functions

bernstein1D, left -> right: t = 0 -> 1 input: i – index; n – degree; t – coordinate

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double PolyBasis::BernsteinTri	(	int	indx1,
		int	indx2,
		int	degree,
		double	u,
		double	v
	)

2D Bernstein basis of degree n over a triangle

Bernstein polynomials of degree n over a triangle u, v, w coordinates are identical to the barycentric coordinates

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double PolyBasis::DerivBernsteinTri	(	int	indx1,
		int	indx2,
		int	degree,
		double	u,
		double	v,
		int	dir
	)

Bernstein polynomial derivatives.

Bernstein basis derivatives on a triangle, w.r.t. the barycentric coordinates.

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