Mostofa Hisham

Document Type

Honors Thesis


Imaging techniques have a wide array of applications in various fields of technology. One such application is medical imaging, such as the use of Computerized Axial Tomography (CAT) or Magnetic Resonance Imaging (MRI). The mathematical techniques behind such imaging technologies will be discussed, such as the transformation of a given set of data representing an object into a mathematical function. This data will be transformed through as Radon transform that shows certain characteristics of a set of data in terms of two variables that completely describe the data set. However, the Radon transform only transfers the data into a sinusoidal form, which must then be transformed into the image of the object by Fourier and inverse Fourier transform of the Radon Transform. The Back projection will be applied on this transformed set of data. This final data set should reflect the original object provided by the data set.

Publication Date






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