Is maximum cross-correlation achieved at the origin?

1. What is maximum cross-correlation?
2. What is the correct way to perform cross-correlation?
3. What is the difference between cross-correlation and Pearson correlation?
4. How does cross-correlation work in image processing?

What is maximum cross-correlation?

Cross-correlation is generally used when measuring information between two different time series. The possible range for the correlation coefficient of the time series data is from -1.0 to +1.0.

What is the correct way to perform cross-correlation?

To detect a level of correlation between two signals we use cross-correlation. It is calculated simply by multiplying and summing two-time series together.

What is the difference between cross-correlation and Pearson correlation?

In the realm of statistics, cross-correlation functions provide a measure of association between signals. The Pearson product-moment correlation coefficient is simply a normalized version of a cross-correlation. When two times series data sets are cross-correlated, a measure of temporal similarity is achieved.

How does cross-correlation work in image processing?

Cross-Correlation:

Correlation is the process of moving a filter mask often referred to as kernel over the image and computing the sum of products at each location. Correlation is the function of displacement of the filter.