Convolution

Convolution v.s. Cross Correlation in Digital Image Processing

Convolution v.s. Cross Correlation in Digital Image Processing

Cross-correlation and convolution are both operations applied to images. Cross-correlation means sliding a kernel (filter) across an image. Convolution means sliding a flipped kernel across an image.

  1. What is difference between convolution and correlation in digital image processing?
  2. Why use convolution instead of cross-correlation?
  3. Why convolution and correlation is used in image processing?
  4. What is cross-correlation in image?

What is difference between convolution and correlation in digital image processing?

Convolution is just like correlation, except we flip over the filter before correlating. Figure 7. Convolution Operation in 1-D. In the case of 2D convolution, we flip the filter both horizontally and vertically.

Why use convolution instead of cross-correlation?

Which one you use depends on the application. If you are performing a linear, time-invariant filtering operation, you convolve the signal with the system's impulse response. If you are "measuring the similarity" between two signals, then you cross-correlate them.

Why convolution and correlation is used in image processing?

A convolution is also a mathematical tool that is used to combine two things in order to produce the result. In image processing, convolution is a process by which we transform an input image by applying a kernel over it in a pixel-wise fashion.

What is cross-correlation in image?

Use cross-correlation to find where a section of an image fits in the whole. Cross-correlation enables you to find the regions in which two signals most resemble each other. For two-dimensional signals, like images, use xcorr2 .

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