Totalvariasjonen
Totalvariasjonen, also known as total variation in English, is a concept primarily used in the fields of image processing, signal analysis, and variational calculus. It measures the extent of variation within a given dataset or function, quantifying how much the values change across a domain. The total variation is often employed to identify regions with significant changes, such as edges in images, and to smooth data while preserving important features.
Mathematically, for a function defined on a domain, the total variation is the integral of the magnitude
Total variation regularization is a common application that involves incorporating the total variation term into optimization
The concept of total variation was popularized in the context of variational models for image processing, with
Would you like more details on mathematical formulations or specific applications?