How Does Fourier Math Apply to Image Processing?

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SUMMARY

Fourier mathematics, specifically Fourier series and transforms, is essential in image processing as it allows for the representation of images as combinations of sine and cosine waves. This mathematical framework aids in understanding the wave components that form an image. Tools such as MATLAB and OpenCV can be utilized to visualize and analyze these components effectively. Beginners in image processing can greatly benefit from grasping these concepts to enhance their understanding of signal representation.

PREREQUISITES
  • Understanding of Fourier series and Fourier transforms
  • Familiarity with image processing concepts
  • Basic knowledge of MATLAB or OpenCV
  • Ability to interpret sinusoidal functions
NEXT STEPS
  • Research "Fourier Transform applications in image processing"
  • Explore "MATLAB image processing toolbox" for practical examples
  • Learn "OpenCV Fourier Transform functions" for implementation
  • Study "Signal representation using sine and cosine functions"
USEFUL FOR

This discussion is beneficial for beginners in image processing, students studying signal processing, and developers looking to implement Fourier analysis in image-related projects.

ramdas
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I am beginer in image processing.
Any signal whether it is 1D,2D or
any multidimensional signal can be represented using combination of number of sine and cosine
waves.Similerly any image can be
termed as a sinusoidal function.
Fourier series and transform plays
vital role in image processing. So I
want to know the Fourier math
behind any Image which can
help to understand wave
components used in forming an
image for example basis or
functions etc.
Also,are there any matlab/
OpenCV code or results to
understand easily these
components(sine and cosine
functions) present in image ?
 
Mathematics news on Phys.org
Am i asking wrong question?if yes please correct me. Also can anyone shift my question to suitable forum if I am in wrong forum.thank you.
ramdas said:
I am beginer in image processing.
Any signal whether it is 1D,2D or
any multidimensional signal can be represented using combination of number of sine and cosine
waves.Similerly any image can be
termed as a sinusoidal function.
Fourier series and transform plays
vital role in image processing. So I
want to know the Fourier math
behind any Image which can
help to understand wave
components used in forming an
image for example basis or
functions etc.
Also,are there any matlab/
OpenCV code or results to
understand easily these
components(sine and cosine
functions) present in image ?
 
ramdas said:
So I want to know the Fourier math behind any Image which can help to understand wave components used in forming an image for example basis or functions etc.

Have you searched for any books or articles on Fourier transformations or Fourier math as it is used in image processing?

ramdas said:
Am i asking wrong question?

I think it's more that you're asking a very specific question which may not be easily answerable. And the formatting of your first post is bad and makes it difficult to read. Please don't make a new line of text when you're still in the middle of a sentence.
 

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