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Rician noise estimation for 3D Magnetic Resonance Images based on Benford's Law

This repository contains the source code of the paper Rician noise estimation for 3D Magnetic Resonance Images based on Benford's Law (URL doi paper https://doi.org/10.1007/978-3-030-87231-1_33.

This project consist of 3 directories:

  • input: it contains 2 3D-MRI brain images form the NKI-RS repository.
  • output: the folder where the results will have save it.
  • src: the code consist in 2 Jupyter files:
    • 01_loadMRI_boxplot.ipynb
    • 02_randomData_method.ipynb

Easily you can download the code and ejecute each Jupyter to visualize:

Files obtained from the '01_loadMRI_boxplot.ipynb' file:

  • 1 csv file:
    • 10 equal spaced noise added to each MRI, Bhattacharyya Coefficient and Kullback.Leibler divergence values for each noise added.
  • 2 boxplots, to represent the values of each colum of the csv above:
    • Bhattacharyya Coefficient vs noise.
    • Kullback.Leibler divergence vs noise.

Files obtained from the '02_randomData_method.ipynb' file:

  • 1 csv file:
    • 20 random noise added to each MRI, Bhattacharyya Coefficient and Kullback.Leibler divergence values for each noise added.
  • 2 tables with MSE value for each regressor:
    • Bhattacharyya Coefficient.
    • Kullback.Leibler divergence.
  • 2 tables with R2 value for each regressor:
    • Bhattacharyya Coefficient.
    • Kullback.Leibler divergence.
  • 2 scatterplot with the regressors:
    • Bhattacharyya Coefficient.
    • Kullback.Leibler divergence.

The content you should be able to see is in the 'output_should_be_appear' directory.

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