Hutchinson metric

In mathematics, the Hutchinson metric is a function which measures "the discrepancy between two images for use in fractal image processing" and "can also be applied to describe the similarity between DNA sequences expressed as real or complex genomic signals".

Consider only nonempty, compact, and finite metric spaces. For a space ${\displaystyle X}$, let ${\displaystyle P(X)}$ denote the space of Borel probability measures on ${\displaystyle X}$, with

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