A variety of medical image reconstruction methods are very relevant to cancer research and diagnosis. 

Prime examples are: [Positron Emission Tomography (PET)][1], [CT][2], [MRI][3], etc.; In particular, all of these famous and successful technologies depend on solutions to inverse problems where one must reconstruct an image from a set of noisy measurements. 


  [1]: https://en.wikipedia.org/wiki/Positron_emission_tomography
  [2]: https://en.wikipedia.org/wiki/Computed_tomography
  [3]: https://en.wikipedia.org/wiki/Magnetic_resonance_imaging