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Calculating the first derivative of an image using DFT

Calculating the first derivative of an image using DFT
  1. How can you calculate the derivative of an image?
  2. What is first derivative in image processing?
  3. What does DFT do to an image?

How can you calculate the derivative of an image?

Image derivatives can be computed by using small convolution filters of size 2 × 2 or 3 × 3, such as the Laplacian, Sobel, Roberts and Prewitt operators. However, a larger mask will generally give a better approximation of the derivative and examples of such filters are Gaussian derivatives and Gabor filters.

What is first derivative in image processing?

In image processing and especially edge detection, when we apply sobel convolution matrix to a given image, we say that we got the first derivative of the input image, and when applying the laplacian matrix to the initial image we say that we got the second derivative.

What does DFT do to an image?

In image processing, the samples can be the values of pixels along a row or column of a raster image. The DFT is also used to efficiently solve partial differential equations, and to perform other operations such as convolutions or multiplying large integers.

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