Zero mean normalization / unit norm normalization

Zero-mean normalization

When zero-mean normalization is applied, all the data in each profile are slid vertically so that their average is zero:


Zero-Mean Normalization

The blue profile was obtained from the red one by a vertical translation so that the average of the profile be zero.


Unit-norm normalization

When unit-norm normalization is applied, all the data in each profile are multiplied so that the length of the associated vector be equal to 1. The length of the vector is the square root of the sum of squares of all values.


Normalization toward 1