Normalized Cross Correlation Operation

1. What is Normalised cross-correlation?
2. How do you calculate normalized cross-correlation?
3. What is Normalised correlation?
4. What is NCC formula?

What is Normalised cross-correlation?

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).

How do you calculate normalized cross-correlation?

Normalized cross-correlation can detect the correlation of two signals with different amplitudes: norma_corr(a, a/2) = 1. Notice we have perfect correlation between signal A and the same signal with half the amplitude!

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.

What is NCC formula?

As shown in (1), the NCC calculation consists of three terms, i.e., the energy of the reference window ( ∑ n = u u + W - 1 f 2 ( n ) ) in the denominator, the energy of the comparison window ( ∑ n = u u + W - 1 g 2 ( n + τ ) ) in the denominator, and the standard (i.e., non-normalized) CC between these two windows ( ∑ ...