LECTURE 13 - FOURIER TRANSFORMATION IN DIGITAL IMAGE PROCESSING | GATE GEOMATICS ENGINEERING |

LECTURE 13 - FOURIER TRANSFORMATION IN DIGITAL IMAGE PROCESSING | GATE GEOMATICS ENGINEERING | #gate
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[@harsh-up74]

please tell me about K space frequencies transformation into fourier equation........If K space is dimensionless than is it possible to form algoritm through this eqn?

[@geomatics_engineering_sheelu]

taking an example of MRI ...Regarding your question about the dimensionlessness of k-space and the possibility of using the Discrete Fourier Transform (DFT) equation, it's important to note that the DFT is typically used for discrete, periodic signals. In the context of MRI, the k-space data is not periodic, and it represents a continuous distribution of spatial frequencies. Therefore, while the concept of k-space can be related to Fourier analysis, the specific mathematical transformations used in MRI reconstruction are more complex and involve non-uniform Fourier Transform algorithms.
In summary, k-space represents the spatial frequencies of MRI data, and the Fourier Transform is used to convert this data from the spatial domain to the frequency domain for image reconstruction. While the DFT equation is not directly applicable to k-space in MRI, more advanced algorithms are used to handle the non-uniform data and transform it into an image.

[@harsh-up74]

@@geomatics_engineering_sheelu Exactly I agree to you