Image restoration deals with functions of two variables. A function of two variables can be described by two
variations, namely total variation and linear variation. Linear variation is a topological characteristic of a
function of two variables. In this text we compare possible approaches to calculation of linear variation: the
straightforward one, based on conventional algorithms for connected component labeling, and also we present a
modification that exploits specificity of the problem to dramatically reduce complexity by reusing of intermediate
results. Possibilities for further optimizations are also discussed.
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