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Problem 1 Write a python script to import a DICOM CT image and plot 3 different 2 - dimensional cross sectional image views: axial, sagittal,

Problem 1
Write a python script to import a DICOM CT image and plot 3 different 2-dimensional cross sectional
image views: axial, sagittal, and coronal. On each 2D dimensional image, include axes with correct coor-
dinates/units. Enable functionality such that, after plotting the initial 3 views, the user of the script can
somehow determine visually a new cross-sectional point of interest, enter those coordinates, and replot the 3
images to cross the volumetric dataset at the desired new point coordinate. For the homework assignment,
include screenshots and text descriptions of the code output along with the code itself.
Problem 2
Initialize a list/array to contain conversion factors for CT Hounsfield Unit to Stopping-Power-Ratio. Search
the literature, pubmed, etc, to find an appropriate conversion table.
Choose a single axial slice of the CT for this problem. Write a computer script to compute the 2D (xz)
dose distribution from a single proton pencil beam of 100MeV incident on an axial slice of the patient CT.
You can choose whatever slice you wish and you can choose the beam angle of the proton pencil beam.
You will please calculate dose in every CT voxel in this slice. Assume the proton beam is initially 1-mm
wide, perfectly parallel, and incident in the beam direction you have chosen. As in the previous homework
assignment, use the equations from Schardt et al.2010 to model the depth dose Bragg peak, range straggling,
and off-axis Gaussian functions. Compute the composite 2D dose distribution within this CT slice. Plot this
dose distribution as a 2D colormap image, with a legend for dose value vs. color scale. Label all coordinate
axes.
Bonus: Overlay a color image of the dose map over the colormap of the CT image. (So that we can see
where the dose falls within the patient
Problem 3
Same as problem 2, but make the proton beam wider. Recompute 2D dose (xz) for a 100-mm wide proton
beam (everything the same as above except the initial beam width is 100-mm). Can you demonstrate that
your dose algorithm "sees" the heterogeneities inside the patient affecting the range of the proton beam,
which likely varies off axis?
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