How Does Fourier Math Apply to Image Processing?

In summary, the conversation discusses the use of Fourier series and transformations in image processing, specifically in understanding the wave components used in forming an image. The individual is also seeking resources, such as books or articles, on the topic and asks for assistance with formatting their post. They also express concern about asking the wrong question and inquire about any available MATLAB or OpenCV code for understanding these components.
  • #1
ramdas
79
0
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 ?
 
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  • #2
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 ?
 
  • #3
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.
 

Related to How Does Fourier Math Apply to Image Processing?

1. What is the Fourier transform in image processing?

The Fourier transform is a mathematical operation that is used to analyze the frequency components of a signal or in this case, an image. It decomposes an image into a sum of sinusoidal functions of different frequencies, allowing for a better understanding of the image's spatial frequency content.

2. How is the Fourier transform applied to images?

The Fourier transform is applied to images by converting the image from the spatial domain to the frequency domain. This is achieved by taking the two-dimensional Fourier transform of the image, which results in a two-dimensional frequency spectrum that represents the image's frequency content.

3. What is the difference between the Fourier transform and the Fourier series?

The Fourier transform is used for continuous signals, while the Fourier series is used for periodic signals. In image processing, the Fourier transform is used to analyze the frequency content of an image, while the Fourier series is used to represent an image as a sum of periodic functions.

4. Can the Fourier transform be used for image enhancement?

Yes, the Fourier transform can be used for image enhancement by applying various image filters in the frequency domain. These filters can remove unwanted noise or enhance certain features of the image.

5. How is the inverse Fourier transform used in image processing?

The inverse Fourier transform is used to convert an image back to the spatial domain after it has been processed in the frequency domain. This allows for the reconstructed image to have the desired frequency content and can be used for tasks such as image restoration or reconstruction.

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