Which analytic methods are used in CT image reconstruction?

The correct analytic methods used in CT image reconstruction are filtered back-projection and Fourier Transformation. Filtered back-projection is a widely utilized algorithm in CT imaging that reconstructs the original image from the raw data obtained during the scanning process. This method involves filtering the projection data to enhance the quality and then back-projecting that data into image space to create a visual representation of the scanned object.

Fourier Transformation plays a crucial role in image reconstruction as well. It converts the spatial domain data collected during a CT scan into the frequency domain. This transformation allows for the effective manipulation of the data, enabling the reconstruction of the image through techniques such as the inverse Fourier Transform, which converts the frequency data back to the spatial domain for visualization.

Both methods are fundamental in accurately reconstructing images from the raw data collected in CT scans, contributing to improved image clarity and detail, which is essential for diagnostic purposes. Understanding these methods is critical for radiologic technologists working in CT imaging, as they underline the principles of how images are produced from the radiation data collected during scans.