/usr/include/InsightToolkit/Common/itkFourierSeriesPath.h is in libinsighttoolkit3-dev 3.20.1+git20120521-6build1.
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Program: Insight Segmentation & Registration Toolkit
Module: itkFourierSeriesPath.h
Language: C++
Date: $Date$
Version: $Revision$
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#ifndef __itkFourierSeriesPath_h
#define __itkFourierSeriesPath_h
#include "itkParametricPath.h"
#include "itkVectorContainer.h"
#include "itkContinuousIndex.h"
#include "itkIndex.h"
#include "itkOffset.h"
#include "itkVector.h"
namespace itk
{
/** \class FourierSeriesPath
* \brief Represent a closed path through ND Space by its frequency components
*
* This class is intended to represent closed parametric paths through an image
* which are defined by their Fourier coeficients (frequency components). The
* paths must be closed and defined over the interval [0,1], where the paths'
* values at input 0 and input 1 are identical. The user can control how many
* harmonics (how high of frequency components) are represented by a given
* instantiation of this class. Classic applications of this class include
* smoothing other closed paths (by finding and using only the first n harmonics
* of their frequency components) and interpolating exact derivatives of other
* closed paths by first converting the other paths to FourierSeriesPaths, which
* have an exactly defined algebraic derivative. (As many harmonics as are
* necessary to adequately approximate the original path should be used when
* approximating derivatives.)
*
* \sa OrthogonallyCorrectedParametricPath
* \sa EllipseParametricPath
* \sa PolyLineParametricPath
* \sa ParametricPath
* \sa ChainCodePath
* \sa Path
* \sa ContinuousIndex
* \sa Index
* \sa Offset
* \sa Vector
*
* \ingroup PathObjects
*/
template <unsigned int VDimension>
class ITK_EXPORT FourierSeriesPath : public
ParametricPath< VDimension >
{
public:
/** Standard class typedefs. */
typedef FourierSeriesPath Self;
typedef ParametricPath<VDimension> Superclass;
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
/** Run-time type information (and related methods). */
itkTypeMacro(FourierSeriesPath, ParametricPath);
/** Input type */
typedef typename Superclass::InputType InputType;
/** Output type */
typedef typename Superclass::OutputType OutputType;
/** Basic data-structure types used */
typedef ContinuousIndex<double,VDimension> ContinuousIndexType;
typedef Index< VDimension > IndexType;
typedef Offset< VDimension > OffsetType;
typedef Vector<double,VDimension> VectorType;
typedef VectorContainer<unsigned, VectorType> CoefficientsType;
typedef typename CoefficientsType::Pointer CoefficientsPointer;
/** Return the location of the parametric path at the specified location. */
virtual OutputType Evaluate( const InputType & input ) const;
/** Evaluate the first derivative of the ND output with respect to the 1D
* input. This is an exact, algebraic function. */
virtual VectorType EvaluateDerivative(const InputType & input) const;
/** Add another harmonic's frequency coefficients. */
void AddHarmonic( const VectorType & CosCoefficients,
const VectorType & SinCoefficients );
/** Clear all frequency coefficients (including the "DC" coefficients). */
void Clear()
{
m_CosCoefficients->Initialize();
m_SinCoefficients->Initialize();
this->Modified();
}
/** New() method for dynamic construction */
itkNewMacro( Self );
/** Needed for Pipelining */
virtual void Initialize(void)
{
this->Clear();
}
protected:
FourierSeriesPath();
~FourierSeriesPath(){}
void PrintSelf(std::ostream& os, Indent indent) const;
private:
FourierSeriesPath(const Self&); //purposely not implemented
void operator=(const Self&); //purposely not implemented
CoefficientsPointer m_CosCoefficients;
CoefficientsPointer m_SinCoefficients;
};
} // end namespace itk
// Define instantiation macro for this template.
#define ITK_TEMPLATE_FourierSeriesPath(_, EXPORT, x, y) namespace itk { \
_(1(class EXPORT FourierSeriesPath< ITK_TEMPLATE_1 x >)) \
namespace Templates { typedef FourierSeriesPath< ITK_TEMPLATE_1 x > \
FourierSeriesPath##y; } \
}
#if ITK_TEMPLATE_EXPLICIT
# include "Templates/itkFourierSeriesPath+-.h"
#endif
#if ITK_TEMPLATE_TXX
# include "itkFourierSeriesPath.txx"
#endif
#endif
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