Implementation of analytical reconstruction method in Excel

Abstract

We implemented analytical reconstruction methods based on two-dimensional Fourier transform, filtered back-projection, and convolution using a spreadsheet program (Excel; Microsoft Corp.). The program that we developed comprises: 1) an introduction, 2) making projection (Radon transform from an original image), 3) one-dimensional Fourier transform, 4) two-dimensional Fourier transform, 5) central slice theorem, 6) two-dimensional Fourier transform method, 7) filtered back-projection method, 8) convolution method, and 9) a supplement. This program was devised to implement the analytical-reconstruction-method algorithm and study it efficiently. To verify the program's effectiveness from an education technology perspective, a questionnaire investigation was conducted of students in the Department of Health Sciences. The program was evaluated as very effective for both understanding of the mathematical basis of the analytical reconstruction method and programming using C language. The program is useful for students and engineers who have an interest in the principles and research of computed tomography, or methods for depicting the human bodyAfs interior such as x-ray CT, MRI, SPECT, and PET.