#include <otbTimeSeriesLeastSquareFittingFunctor.h>

Public Types
typedef TTimeFunction::CoefficientsType	CoefficientsType

Public Member Functions
TTimeFunction	EstimateTimeFunction (const TSeriesType &series) const

CoefficientsType	GetCoefficients (const TSeriesType &series) const

TSeriesType	operator() (const TSeriesType &series)

void	SetDates (const TDateType &doy)

void	SetWeights (const TWeightType &weights)

	TimeSeriesLeastSquareFittingFunctor ()

virtual	~TimeSeriesLeastSquareFittingFunctor ()

Private Attributes
TDateType	m_DoySeries

TWeightType	m_WeightSeries

Detailed Description

template<class TSeriesType, class TTimeFunction, class TDateType = TSeriesType, class TWeightType = TSeriesType>
class otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >

Implements a least squares fitting of a time profile.

This functor implements a least squares fitting of a time profile. The time series as well as the date series are supposed to accept the [] syntax to get the values and the Size() method to get their length. The fitting is performed using a time function which is just a weighted sum of basis functions : $f(t) = c_0 * \phi_0(t) + c_1 * \phi_1(t) + c_1 * \phi_1(t) + \cdots$ Using a matrix notation, this can be written as follows : $F = \Phi c$ $ F = ( f(t_i) ) $ $ c = ( c_j ) $ $\Phi_{ij} = ( \phi_j(t_i) )$ If information about the error of each measure is available, it can be provided using a weight series $\sigma_i$ (the higher the error, the higher the $\sigma_i$ . The problem then becomes: $ b = A c $ $b = (\frac{ f(t_i) }{\sigma_i})$ $A_{ij} = \frac{\Phi_{ij}}{\sigma_i}$

Definition at line 59 of file otbTimeSeriesLeastSquareFittingFunctor.h.

Member Typedef Documentation

◆ CoefficientsType

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

typedef TTimeFunction::CoefficientsType otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::CoefficientsType

Definition at line 62 of file otbTimeSeriesLeastSquareFittingFunctor.h.

Constructor & Destructor Documentation

◆ TimeSeriesLeastSquareFittingFunctor()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::TimeSeriesLeastSquareFittingFunctor ( )

inline

Constructor.

Definition at line 65 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_WeightSeries.

◆ ~TimeSeriesLeastSquareFittingFunctor()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

virtual otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::~TimeSeriesLeastSquareFittingFunctor ( )

inlinevirtual

Destructor.

Definition at line 71 of file otbTimeSeriesLeastSquareFittingFunctor.h.

Member Function Documentation

◆ EstimateTimeFunction()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

TTimeFunction otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::EstimateTimeFunction ( const TSeriesType & series ) const

inline

Definition at line 101 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_DoySeries, and otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_WeightSeries.

Referenced by otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::GetCoefficients(), and otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::operator()().

◆ GetCoefficients()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

CoefficientsType otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::GetCoefficients ( const TSeriesType & series ) const

inline

Definition at line 96 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::EstimateTimeFunction().

◆ operator()()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

TSeriesType otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::operator() ( const TSeriesType & series )

inline

Definition at line 75 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::EstimateTimeFunction(), and otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_DoySeries.

◆ SetDates()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

void otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::SetDates ( const TDateType & doy )

inline

Definition at line 84 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References GapFilling::doy(), and otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_DoySeries.

Referenced by otb::Functor::SavitzkyGolayInterpolationFunctor< Radius, TSeries, TDates, TSeries >::operator()().

◆ SetWeights()

template<class TSeriesType , class TTimeFunction , class TDateType = TSeriesType, class TWeightType = TSeriesType>

void otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::SetWeights ( const TWeightType & weights )

inline

Definition at line 90 of file otbTimeSeriesLeastSquareFittingFunctor.h.

References otb::Functor::TimeSeriesLeastSquareFittingFunctor< TSeriesType, TTimeFunction, TDateType, TWeightType >::m_WeightSeries.

Referenced by otb::Functor::SavitzkyGolayInterpolationFunctor< Radius, TSeries, TDates, TSeries >::operator()().