How can I create an equation in matlab for image processing?

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SUMMARY

This discussion focuses on applying the 2D Fast Fourier Transform (2DFFT) in MATLAB for image processing. Users are guided to utilize the MATLAB function fft2 to perform 2DFFT on images. Two primary methods are proposed: computing the inverse of a Gaussian function and convolving it with the image, or performing the FFT on both the image and the Gaussian, then dividing the corresponding elements before applying the inverse FFT.

PREREQUISITES
  • Familiarity with MATLAB programming
  • Understanding of Fast Fourier Transform (FFT) concepts
  • Knowledge of image convolution techniques
  • Basic principles of Gaussian functions in image processing
NEXT STEPS
  • Explore the MATLAB documentation for fft2 to understand its parameters and usage.
  • Research the implementation of Gaussian functions in image processing.
  • Learn about image convolution and its applications in filtering.
  • Study the process of inverse FFT and its significance in image reconstruction.
USEFUL FOR

This discussion is beneficial for image processing engineers, MATLAB developers, and researchers looking to enhance image analysis techniques using Fourier transforms.

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TL;DR
I want to create the inverse gaussian filter equation on MatLab but I have no idea where to start, perhaps learning how to create another equation such as the 2DFFT will help.
Here is the documentation for the 2DFFT:
https://www.mathworks.com/help/matlab/ref/fft2.html
how would I go about creating this formula on MATLAB to apply it on an image? My guess is that I need to create the equation and then multiply it to the image I need such as:
$$U = VI$$
where V is my created equation and I is the image? I don't know if I am making sense at all, any help would be appreciated and any resources would also be appreciated.
 
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