Fourier Transfrom in MRI

“Magnetic resonance imaging (MRI) is a test that uses a magnetic field and pulses of radio wave energy to make pictures of organs and structures inside the body. In many cases, MRI gives different information about structures in the body than can be seen with an X-ray, ultrasound, or computed tomography (CT) scan.”[1]

The signals retrieved from a Magnetic Resonance Imaging (MRI) scan are “a combination of signals from all over the object being imaged.”[2] As we learned in class signals are composed of sine waves with different frequencies. The Fourier transform allows us to understand and interpret those frequencies and amplitudes. “It converts the signals from the time domain into the frequency domain and if we can separate out the frequencies we can say where we should plot the amplitudes on the image.”[2]

 

Capture

Sources:

 

[1] http://www.webmd.com/a-to-z-guides/magnetic-resonance-imaging-mri

[2] http://www.revisemri.com/questions/kspace/fft

http://mriquestions.com/fourier-transform-ft.html

photo source: https://www.quora.com/What-is-the-real-life-application-of-Fourier-transforms-and-Laplace-transforms?no_redirect=1

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