ITK  4.6.0
Insight Segmentation and Registration Toolkit
itkSymmetricEigenAnalysis.h
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18 #ifndef __itkSymmetricEigenAnalysis_h
19 #define __itkSymmetricEigenAnalysis_h
20 
21 #include "itkMacro.h"
22 
23 namespace itk
24 {
60 template< typename TMatrix, typename TVector, typename TEigenMatrix = TMatrix >
62 {
63 public:
64  typedef enum
65  {
69  }
71 
73  m_Dimension(0),
74  m_Order(0),
76 
77  SymmetricEigenAnalysis(const unsigned int dimension):
78  m_Dimension(dimension),
79  m_Order(dimension),
81 
83 
84  typedef TMatrix MatrixType;
85  typedef TEigenMatrix EigenMatrixType;
86  typedef TVector VectorType;
87 
101  unsigned int ComputeEigenValues(
102  const TMatrix & A,
103  TVector & EigenValues) const;
104 
125  unsigned int ComputeEigenValuesAndVectors(
126  const TMatrix & A,
127  TVector & EigenValues,
128  TEigenMatrix & EigenVectors) const;
129 
131  void SetOrder(const unsigned int n)
132  {
133  m_Order = n;
134  }
135 
139  unsigned int GetOrder() const { return m_Order; }
140 
144  void SetOrderEigenValues(const bool b)
145  {
146  if ( b ) { m_OrderEigenValues = OrderByValue; }
147  else { m_OrderEigenValues = DoNotOrder; }
148  }
150 
151  bool GetOrderEigenValues() const { return ( m_OrderEigenValues == OrderByValue ); }
152 
156  void SetOrderEigenMagnitudes(const bool b)
157  {
158  if ( b ) { m_OrderEigenValues = OrderByMagnitude; }
159  else { m_OrderEigenValues = DoNotOrder; }
160  }
162 
164 
167  void SetDimension(const unsigned int n)
168  {
169  m_Dimension = n;
170  if ( m_Order == 0 )
171  {
173  }
174  }
176 
179  unsigned int GetDimension() const { return m_Dimension; }
180 
181 private:
182  unsigned int m_Dimension;
183  unsigned int m_Order;
185 
205  void ReduceToTridiagonalMatrix(double *inputMatrix, VectorType & d,
206  double *e, double *e2) const;
207 
230  double *inputMatrix, VectorType & diagonalElements,
231  double *subDiagonalElements, double *transformMatrix) const;
232 
262  unsigned int ComputeEigenValuesUsingQL(
263  VectorType & d, double *e) const;
264 
303  VectorType & d, double *e, double *z) const;
304 };
305 
306 template< typename TMatrix, typename TVector, typename TEigenMatrix >
307 std::ostream & operator<<(std::ostream & os,
309 {
310  os << "[ClassType: SymmetricEigenAnalysis]" << std::endl;
311  os << " Dimension : " << s.GetDimension() << std::endl;
312  os << " Order : " << s.GetOrder() << std::endl;
313  os << " OrderEigenValues: " << s.GetOrderEigenValues() << std::endl;
314  os << " OrderEigenMagnitudes: " << s.GetOrderEigenMagnitudes() << std::endl;
315  return os;
316 }
317 } // end namespace itk
318 
319 #ifndef ITK_MANUAL_INSTANTIATION
320 #include "itkSymmetricEigenAnalysis.hxx"
321 #endif
322 
323 #endif
Find Eigen values of a real 2D symmetric matrix. It serves as a thread-safe alternative to the class:...
void ReduceToTridiagonalMatrix(double *inputMatrix, VectorType &d, double *e, double *e2) const
unsigned int ComputeEigenValuesAndVectors(const TMatrix &A, TVector &EigenValues, TEigenMatrix &EigenVectors) const
std::ostream & operator<<(std::ostream &os, const Array< TValue > &arr)
Definition: itkArray.h:184
void SetOrder(const unsigned int n)
static const double e
The base of the natural logarithm or Euler&#39;s number
Definition: itkMath.h:45
unsigned int ComputeEigenValues(const TMatrix &A, TVector &EigenValues) const
void SetDimension(const unsigned int n)
unsigned int ComputeEigenValuesAndVectorsUsingQL(VectorType &d, double *e, double *z) const
unsigned int ComputeEigenValuesUsingQL(VectorType &d, double *e) const
void ReduceToTridiagonalMatrixAndGetTransformation(double *inputMatrix, VectorType &diagonalElements, double *subDiagonalElements, double *transformMatrix) const
SymmetricEigenAnalysis(const unsigned int dimension)