diff --git a/doc/source/tutorials/radon_transform.txt b/doc/source/tutorials/radon_transform.txt index 7983b414..f7b341f7 100644 --- a/doc/source/tutorials/radon_transform.txt +++ b/doc/source/tutorials/radon_transform.txt @@ -2,7 +2,9 @@ Radon transform *************** -The radon transform is a technique widely used in tomography, where you reconstruct an object from its different projections. A projection for example the scattering data obtained as the output of a tomographic scan. +The radon transform is a technique widely used in tomography, where you +reconstruct an object from its different projections. A projection for example +the scattering data obtained as the output of a tomographic scan. For more information: http://en.wikipedia.org/wiki/Radon_transform @@ -11,7 +13,8 @@ For more information: Forward transform ================= -First we load the Schepp-Logan phantom, a classic test image representing a tomographic scan. +First we load the Schepp-Logan phantom, a classic test image representing a +tomographic scan. .. ipython:: @@ -37,7 +40,8 @@ First we load the Schepp-Logan phantom, a classic test image representing a tomo In [9]: plt.show() -Let us illustrate the transform by looking at projections taken at specific angles. +Let us illustrate the transform by looking at projections taken at specific +angles. .. ipython:: @@ -54,7 +58,8 @@ Let us illustrate the transform by looking at projections taken at specific angl @savefig radon_projection_plot1.png width=4in In [15]: plt.show() -We are going to reconstruct an image from 180 of these projections (the default). +We are going to reconstruct an image from 180 of these projections (the +default). .. ipython:: @@ -74,7 +79,8 @@ We are going to reconstruct an image from 180 of these projections (the default) In [22]: plt.show() -We have now constructed various projections, line integrals of an image, at specific angles. This image is called a sinogram. +We have now constructed various projections, line integrals of an image, at +specific angles. This image is called a sinogram. .. ipython:: @@ -91,6 +97,7 @@ We have now constructed various projections, line integrals of an image, at spec @savefig radon_sinogram.png width=4in In [28]: plt.show() + Inverse transform ================= To reconstruct the image from this sinogram, we apply the inverse transform.