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MRI_INH


Data Structures

struct  mri_inh_2d1d_plan
 The structure for the transform plan. More...
struct  mri_inh_3d_plan
 The structure for the transform plan. More...

Functions

void mri_inh_2d1d_trafo (mri_inh_2d1d_plan *ths)
 Executes a mri transformation considering the field inhomogeneity with the 2d1d method, i.e.
void mri_inh_2d1d_adjoint (mri_inh_2d1d_plan *ths)
 Executes an adjoint mri transformation considering the field inhomogeneity with the 2d1d method, i.e.
void mri_inh_2d1d_init_guru (mri_inh_2d1d_plan *ths, int *N, int M, int *n, int m, double sigma, unsigned nfft_flags, unsigned fftw_flags)
 Creates a transform plan.
void mri_inh_2d1d_finalize (mri_inh_2d1d_plan *ths)
 Destroys a plan.
void mri_inh_3d_trafo (mri_inh_3d_plan *ths)
 Executes a mri transformation considering the field inhomogeneity with the 3d method, i.e.
void mri_inh_3d_adjoint (mri_inh_3d_plan *ths)
 Executes an adjoint mri transformation considering the field inhomogeneity with the 3d method, i.e.
void mri_inh_3d_init_guru (mri_inh_3d_plan *ths, int *N, int M, int *n, int m, double sigma, unsigned nfft_flags, unsigned fftw_flags)
void mri_inh_3d_finalize (mri_inh_3d_plan *ths)
 Destroys a plan.

Function Documentation

void mri_inh_2d1d_adjoint (  mri_inh_2d1d_plan *  ths  ) 
 

Executes an adjoint mri transformation considering the field inhomogeneity with the 2d1d method, i.e.

computes for $k \in I_N^2$

\[ \hat{f}(k) = \sum_{j=0}^{M_{total}-1} f(x_j) {\rm e}^{\mbox{\rm\scriptsize i} t_j \omega(k)} {\rm e}^{-2 \pi \mbox{\rm\scriptsize i} k x_j} \]

  • ths_plan The plan
Author:
Tobias Knopp

void mri_inh_2d1d_finalize (  mri_inh_2d1d_plan *  ths  ) 
 

Destroys a plan.

  • ths_plan The plan
Author:
Tobias Knopp

void mri_inh_2d1d_init_guru (  mri_inh_2d1d_plan *  ths,
int *  N,
int  M,
int *  n,
int  m,
double  sigma,
unsigned  nfft_flags,
unsigned  fftw_flags
) 
 

Creates a transform plan.

  • ths_plan The plan for the transform
  • N The bandwidth $N$
  • M_total The number of nodes $x$
  • n The oversampled bandwidth $N$
  • m The cut-off parameter
  • sigma The oversampling factor
  • nnfft_flags The flags
Author:
Tobias Knopp

void mri_inh_2d1d_trafo (  mri_inh_2d1d_plan *  ths  ) 
 

Executes a mri transformation considering the field inhomogeneity with the 2d1d method, i.e.

computes for $j=0,...,M_{total}-1$

\[ f(x_j) = \sum_{k \in I_N^2} \hat{f}(k) {\rm e}^{\mbox{\rm\scriptsize i} t_j \omega(k)} {\rm e}^{-2 \pi \mbox{\rm\scriptsize i} k x_j} \]

  • ths_plan The plan
Author:
Tobias Knopp

void mri_inh_3d_adjoint (  mri_inh_3d_plan *  ths  ) 
 

Executes an adjoint mri transformation considering the field inhomogeneity with the 3d method, i.e.

computes for $k \in I_N^2$

\[ \hat{f}(k) = \sum_{j=0}^{M_{total}-1} f(x_j) {\rm e}^{\mbox{\rm\scriptsize i} t_j \omega(k)} {\rm e}^{-2 \pi \mbox{\rm\scriptsize i} k x_j} \]

  • ths_plan The plan
Author:
Tobias Knopp

void mri_inh_3d_finalize (  mri_inh_3d_plan *  ths  ) 
 

Destroys a plan.

  • ths_plan The plan
Author:
Tobias Knopp

void mri_inh_3d_trafo (  mri_inh_3d_plan *  ths  ) 
 

Executes a mri transformation considering the field inhomogeneity with the 3d method, i.e.

computes for $j=0,...,M_{total}-1$

\[ f(x_j) = \sum_{k \in I_N^2} \hat{f}(k) {\rm e}^{\mbox{\rm\scriptsize i} t_j \omega(k)} {\rm e}^{-2 \pi \mbox{\rm\scriptsize i} k x_j} \]

  • ths_plan The plan
Author:
Tobias Knopp

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