Differentiation and regularization

Abstract

Regularization is the technique to make data behave well when an operator is applied to them. Such data could e.g. be functions, that are impossible or difficult to differentiate, or discrete data where a derivative seems to be not defined at all. In scale-space theory, we realize that we do physics. This implies that when we consider a system, a small variation of the input data should lead to small change in the output data.