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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkFourierSeriesPath.h.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:35 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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DEF |
#ifndef _itkFourierSeriesPath_h |
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#define _itkFourierSeriesPath_h |
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#include "itkParametricPath.h" |
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#include "itkVectorContainer.h" |
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#include "itkContinuousIndex.h" |
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#include "itkIndex.h" |
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#include "itkOffset.h" |
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#include "itkVector.h" |
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namespace itk |
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{ |
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/** \class FourierSeriesPath |
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* \brief Represent a closed path through ND Space by its frequency components |
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* |
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* This class is intended to represent closed parametric paths through an image |
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* which are defined by their Fourier coeficients (frequency components). The |
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* paths must be closed and defined over the interval [0,1], where the paths' |
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* values at input 0 and input 1 are identical. The user can control how many |
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* harmonics (how high of frequency components) are represented by a given |
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* instantiation of this class. Classic applications of this class include |
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* smoothing other closed paths (by finding and using only the first n harmonics |
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* of their frequency components) and interpolating exact derivatives of other |
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* closed paths by first converting the other paths to FourierSeriesPaths, which |
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* have an exactly defined algebraic derivative. (As many harmonics as are |
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* necessary to adequately approximate the original path should be used when |
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* approximating derivatives.) |
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* |
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* \sa OrthogonallyCorrectedParametricPath |
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* \sa EllipseParametricPath |
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* \sa PolyLineParametricPath |
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* \sa ParametricPath |
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* \sa ChainCodePath |
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* \sa Path |
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* \sa ContinuousIndex |
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* \sa Index |
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* \sa Offset |
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* \sa Vector |
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* |
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* \ingroup PathObjects |
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*/ |
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template <unsigned int VDimension> |
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class ITK_EXPORT FourierSeriesPath : public |
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ParametricPath< VDimension > |
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{ |
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public: |
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/** Standard class typedefs. */ |
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typedef FourierSeriesPath Self; |
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typedef ParametricPath<VDimension> Superclass; |
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typedef SmartPointer<Self> Pointer; |
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typedef SmartPointer<const Self> ConstPointer; |
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/** Run-time type information (and related methods). */ |
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itkTypeMacro(FourierSeriesPath, ParametricPath); |
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/** Input type */ |
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typedef typename Superclass::InputType InputType; |
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/** Output type */ |
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typedef typename Superclass::OutputType OutputType; |
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/** Basic data-structure types used */ |
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typedef ContinuousIndex<double,VDimension> ContinuousIndexType; |
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typedef Index< VDimension > IndexType; |
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typedef Offset< VDimension > OffsetType; |
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typedef Vector<double,VDimension> VectorType; |
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typedef VectorContainer<unsigned, VectorType> CoefficientsType; |
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typedef typename CoefficientsType::Pointer CoefficientsPointer; |
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/** Return the location of the parametric path at the specified location. */ |
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virtual OutputType Evaluate( const InputType & input ) const; |
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/** Evaluate the first derivative of the ND output with respect to the 1D |
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***** input. This is an exact, algebraic function. */ |
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virtual VectorType EvaluateDerivative(const InputType & input) const; |
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/** Add another harmonic's frequency coefficients. */ |
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void AddHarmonic( const VectorType & CosCoefficients, |
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const VectorType & SinCoefficients ); |
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/** Clear all frequency coefficients (including the "DC" coefficients). */ |
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void Clear() |
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{ |
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m_CosCoefficients->Initialize(); |
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m_SinCoefficients->Initialize(); |
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this->Modified(); |
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} |
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/** New() method for dynamic construction */ |
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itkNewMacro( Self ); |
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****/** Needed for Pipelining */ |
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virtual void Initialize(void) |
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{ |
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this->Clear(); |
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} |
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protected: |
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FourierSeriesPath(); |
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~FourierSeriesPath(){} |
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void PrintSelf(std::ostream& os, Indent indent) const; |
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private: |
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FourierSeriesPath(const Self&); //purposely not implemented |
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void operator=(const Self&); //purposely not implemented |
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CoefficientsPointer m_CosCoefficients; |
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CoefficientsPointer m_SinCoefficients; |
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}; |
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} // namespace itk |
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#ifndef ITK_MANUAL_INSTANTIATION |
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#include "itkFourierSeriesPath.txx" |
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#endif |
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#endif |
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