Which transformation converts the raw MRI data into an image?

• A. Fourier transform
• B. Convolution
• C. Differentiation
• D. Integration

Answer: (A)

MRI data is collected in k-space, a frequency-domain representation that encodes how image intensity varies across space. To turn that frequency information into a visible image, you convert it back to the spatial domain using the inverse Fourier transform. This step is the mathematical bridge that reconstructs the image from the measured frequency data, which is why the Fourier transform (specifically its inverse for reconstruction) is the correct choice. Convolution would apply a filter, differentiation highlights changes but doesn’t assemble the image from frequency data, and integration would accumulate values without reconstructing the spatial structure.