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Computed tomography

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Description

This project was a part of a Informatics in Medicine university class. The idea was to implement a filtered back projection algorithm.

Used libraries

  • numpy
  • opencv
  • matplotlib & seaborn
  • streamlit
  • pydicom
  • scikit-image
  • scikit-learn

Our approach

We used a parallel tomography model in which there are n emitters and detectors placed right in front of each other.

The distance between emitters/detectors is fixed and is equal to $l/n$. The rotation angle is equal to $\alpha$.

To find which points are on the line between a pair of an emitter and a detector, we used a bresenham algorithm. The average value of all the points of the line is then one pixel of a sinogram. We later applied convolution on the sinogram and normalized it.

The reconstruction is done by applying the inverse Radon transform.

Results

CT_ScoutView

Input

Reconstruction

SADDLE_PE

Input

Output

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