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/***********************************************/
/**
* @file basisSplines.h
*
* @brief Basis Splines.
*
* @author Beate Klinger
* @date 2015-05-30
*
*/
/***********************************************/
#ifndef __GROOPS_BASISSPLINES__
#define __GROOPS_BASISSPLINES__
#include "base/importStd.h"
#include "matrix.h"
/***** CLASS ***********************************/
/** @brief Basis Splines.
* @ingroup base */
namespace BasisSplines
{
/** @brief Basis Splines.
* @param t in [0,1).
* @param degree spline degree.
* @return vector(degree+1) with splines coefficients. */
inline Vector compute(Double t, UInt degree);
}
/***********************************************/
/***** INLINES *********************************/
/***********************************************/
inline Vector BasisSplines::compute(Double t, UInt degree)
{
Vector b(degree+1);
b(0) = 1.;
for(UInt n=1; n<=degree; n++)
{
b(n) = t/n * b(n-1);
for(UInt i=n; i-->1;)
b(i) = (t+n-i)/n * b(i-1) - (t-i-1)/n * b(i);
b(0) *= (1-t)/n;
}
return b;
}
/***********************************************/
#endif /* __GROOPS__ */
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