radon.c File Reference

NFFT-based discrete Radon transform. More...

`#include <stdio.h>`
`#include <math.h>`
`#include <stdlib.h>`
`#include <string.h>`
`#include <complex.h>`
`#include "nfft3mp.h"`
Include dependency graph for radon.c:

Go to the source code of this file.

## Macros

#define | NFFT_PRECISION_DOUBLE
#define | KERNEL(r) (NFFT_K(1.0)-NFFT_M(fabs)((NFFT_R)(r))/((NFFT_R)S/2))
| define weights of kernel function for discrete Radon transform

## Functions

static int | polar_grid (int T, int S, NFFT_R *x, NFFT_R *w)
| generates the points x with weights w for the polar grid with T angles and R offsets
static int | linogram_grid (int T, int S, NFFT_R *x, NFFT_R *w)
| generates the points x with weights w for the linogram grid with T slopes and R offsets
static int | Radon_trafo (int(*gridfcn)(), int T, int S, NFFT_R *f, int NN, NFFT_R *Rf)
| computes the NFFT-based discrete Radon transform of f on the grid given by gridfcn() with T angles and R offsets
int | main (int argc, char **argv)
| simple test program for the discrete Radon transform

## Detailed Description

NFFT-based discrete Radon transform.

Computes the discrete Radon transform

by taking the 2D-NFFT of ( ) at the points of the polar or linogram grid followed by 1D-iFFTs for every direction , where are the weights of the Dirichlet- or Fejer-kernel.

Author
  Markus Fenn

Date
  2005

Definition in file radon.c.