MATLAB Code Implementation with Image Descriptions

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Resource Overview

Image descriptions: A: Spectrum after Fourier transform; B: Spectrum after notch filter application; C: Filtered image after inverse transform (results not optimal). Ifft2: To validate the custom FFT program's correctness, used MATLAB's built-in ifft2 function for inverse transformation - output matches original image, confirming proper FFT implementation.

Detailed Documentation

The image descriptions mentioned in the text include the following components:

A: Fourier-transformed spectrum diagram showing frequency domain representation after applying 2D FFT (fft2) function

B: Spectrum after notch filter processing, demonstrating frequency domain filtering using custom notch transfer functions to eliminate specific frequency components

C: Filtered image after inverse Fourier transform (ifft2), though the restoration results are suboptimal, indicating potential issues in filter parameter selection or implementation

Ifft2: To verify the correctness of the custom Fast Fourier Transform program implementation, used MATLAB's built-in inverse transform function (ifft2) to process the spectrum. The resulting image matched the original input, validating the algorithm implementation and confirming proper handling of complex number operations and frequency shifting during the FFT process.

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