Correlation

Phase correlation vs. normalized cross-correlation

Phase correlation vs. normalized cross-correlation
  1. What's the difference between normalized correlation and regular cross-correlation?
  2. What is phase cross-correlation?
  3. What is normalized cross-correlation?
  4. What is Normalised correlation?

What's the difference between normalized correlation and regular cross-correlation?

Cross-correlation is the comparison of two different time series to detect if there is a correlation between metrics with the same maximum and minimum values. For example: “Are two audio signals in phase?” Normalized cross-correlation is also the comparison of two time series, but using a different scoring result.

What is phase cross-correlation?

Phase correlation is an approach to estimate the relative translative offset between two similar images (digital image correlation) or other data sets. It is commonly used in image registration and relies on a frequency-domain representation of the data, usually calculated by fast Fourier transforms.

What is normalized cross-correlation?

Description. Normalized Cross-Correlation (NCC) is by definition the inverse Fourier transform of the convolution of the Fourier transform of two (in this case) images, normalized using the local sums and sigmas (see below).

What is Normalised correlation?

Normalized correlation is one of the methods used for template matching, a process used for finding instances of a pattern or object within an image. It is also the 2-dimensional version of Pearson product-moment correlation coefficient.

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