Question

4. Implement by yourself in Matlab simplest backprojection

algorithm (without filtration) (you may use functions repmat,
imrotate) for the obtained sinograms.

Answer 1

The backprojection algorithm is a simple method to reconstruct an image from a sinogram. In MATLAB, you can implement it using functions like repmat and imrotate. The algorithm involves creating a zero matrix, rotating and adding the projections, and normalizing the result.

Step-by-step explanation:

The backprojection algorithm is a method used in computed tomography to reconstruct an image from a sinogram. In MATLAB, you can implement a simple backprojection algorithm without filtration using functions like repmat and imrotate. Here is an example of how to do it:

Create a matrix of zeros with the same size as the target image.For each projection in the sinogram, rotate it to the corresponding angle and add it to the reconstruction matrix using the imrotate functionNormalize the resulting matrix by dividing each element by the number of projectionsThis algorithm will provide a basic reconstruction of the image, but it will not take into account any filtering techniques that can improve the quality of the reconstruction.After processing all angles, the backprojection image will approximate the original object, but will be blurred due to the lack of filtration usually applied in the Radon transform.