chebyshev_smooth Class Template Reference
A chebyshev polynome with gibbs damping. More...
#include <chebyshev.h>
Inheritance diagram for chebyshev_smooth:
Public Member Functions | |
| chebyshev_smooth (std::size_t const &n_terms, FloatType const &low_limit, FloatType const &high_limit) | |
| chebyshev_smooth (std::size_t const &n_terms, FloatType const &low_limit, FloatType const &high_limit, scitbx::af::const_ref< FloatType > const &cheb_coefs) | |
| void | replace_and_smooth (scitbx::af::const_ref< FloatType > const &coefs) |
| scitbx::af::shared< FloatType > | smooth_coefs () |
| In python this accesible as smooth_coefs. | |
Detailed Description
template<typename FloatType = double>
class scitbx::math::chebyshev::chebyshev_smooth< FloatType >
A chebyshev polynome with gibbs damping.
The Gibbs damping in this chebyshev polynome takes the form of g = 0.5*(1-tanh( (z-1)/(z*(1-z)))) where z = ii/(n_terms_+1), and f(x) 0.5*g_0c_0 + sum_{ii=0}^{M} g_ii c_ii T_ii(x) It ensures that the effective last coefficients are small This will large oscilations of a small period in the final function in the hope that it will prevent overfitting of data.
The documentation for this class was generated from the following file:
- scitbx/math/chebyshev.h
