What does the term spatial correlation and spatial convolution mean with respect to digital image processing ?


These terms exist mainly for historical reasons. In signal processing the signal is a one-dimensional function of time. So people talk about the time domain vs. the frequency domain. On the other hand, in image processing you are looking at a 2D function of $x$ and $y$, and there is no notion of time. Instead your are talking about spatial frequencies. Hence, spatial correlation and spatial convolution.

Typically, in image processing you simply talk about convolution and correlation. The term spatial usually shows up when 2-D convolution and correlation are introduced to people with background in signal processing.

  • $\begingroup$ If you could please explain these terms extensively. I don't have a feel of what do these terms mean $\endgroup$ – Suhail Gupta Nov 19 '13 at 4:23
  • $\begingroup$ To get a feel for those terms you would need to read up on Fourier transform. $\endgroup$ – Dima Nov 19 '13 at 14:21

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