linear_least_squares.hpp File Reference

Provides some linear least square algorithms. More...

#include "Vector.hpp"
#include "Matrix.hpp"
#include "Array2d.hpp"
#include "linear_algebra_svd.hpp"
#include "polynomial_algo.hpp"

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Namespaces
	slip
	This namespace corresponds to the kernel of the Simple Library on Image Processing (SLIP). That is to say that it contains the data structures and the algorithms needed by these data strucutres.

Functions
1d linear least square algorithms
template<typename RandomAccessIterator1 , typename RandomAccessIterator2 , typename RandomAccessIterator3 , typename RandomAccessIterator4 >
double	slip::svd_least_square (RandomAccessIterator1 x_first, RandomAccessIterator1 x_last, RandomAccessIterator2 y_first, RandomAccessIterator3 s_first, RandomAccessIterator4 p_first, RandomAccessIterator4 p_last, slip::EvalBasis< typename std::iterator_traits< RandomAccessIterator1 >::value_type, RandomAccessIterator2 > &basis_fun)
	Linear Least Square fitting using SVD. More...
template<typename Vector1 , typename Vector2 , typename Vector3 , typename Vector4 >
double	slip::svd_least_square (Vector1 &X, Vector2 &Y, Vector3 &S, Vector4 &P, slip::EvalBasis< typename Vector1::value_type, typename Vector2::iterator > &basis_fun)
	Linear Least Square fitting using SVD. More...
template<typename RandomAccessIterator1 , typename RandomAccessIterator2 , typename RandomAccessIterator3 >
double	slip::svd_least_square (RandomAccessIterator1 x_first, RandomAccessIterator1 x_last, RandomAccessIterator2 y_first, RandomAccessIterator3 p_first, RandomAccessIterator3 p_last, slip::EvalBasis< typename std::iterator_traits< RandomAccessIterator1 >::value_type, RandomAccessIterator2 > &basis_fun)
	Linear Least Square fitting using SVD. More...
template<typename Vector1 , typename Vector2 , typename Vector3 >
double	slip::svd_least_square (Vector1 &X, Vector2 &Y, Vector3 &P, slip::EvalBasis< typename Vector1::value_type, typename Vector2::iterator > &basis_fun)
	Linear Least Square fitting using SVD. More...
Multidimensional linear least square algorithms
template<typename RandomAccessIterator1 , typename RandomAccessIterator2 , typename RandomAccessIterator3 , typename RandomAccessIterator4 >
double	slip::svd_least_square_nd (RandomAccessIterator1 x_first, RandomAccessIterator1 x_last, RandomAccessIterator2 y_first, RandomAccessIterator3 s_first, RandomAccessIterator4 p_first, RandomAccessIterator4 p_last, const std::size_t order, slip::EvalBasis< typename std::iterator_traits< RandomAccessIterator1 >::value_type, RandomAccessIterator2 > &basis_fun)
	nd Linear Least Square fitting using SVD. More...
template<typename RandomAccessIterator1 , typename RandomAccessIterator2 , typename RandomAccessIterator3 >
double	slip::svd_least_square_nd (RandomAccessIterator1 x_first, RandomAccessIterator1 x_last, RandomAccessIterator2 y_first, RandomAccessIterator3 p_first, RandomAccessIterator3 p_last, const std::size_t order, slip::EvalBasis< typename std::iterator_traits< RandomAccessIterator1 >::value_type, RandomAccessIterator2 > &basis_fun)
	nd Linear Least Square fitting using SVD. More...
template<typename Vector1 , typename Vector2 , typename Vector3 >
double	slip::svd_least_square_nd (Vector1 &X, Vector2 &Y, Vector3 &P, const std::size_t order, slip::EvalBasis< typename Vector1::value_type, typename Vector2::iterator > &basis_fun)
	nd Linear Least Square fitting using SVD. More...

Detailed Description

Provides some linear least square algorithms.

Definition in file linear_least_squares.hpp.