Scatter Plot from Scientific Research

The reduced persistence transformation in comparison to the persistence diagram. Mid : There are two real-valued functions f:M-> R (blue) and g:M-> R (red) plotted with x in M on the x -axis and y in R on the y -axis. Left hand : The persistence transformation of the functions f (blue) and g (red) are displayed with the x values on the x -axis and the persistence values on the y -axis. The features of g are distinct from the features of f (blue). Right hand : The persistence diagram of the functions f (blue) and g (red) are shown. The y -axis indicates the birth values, while the x -axis shows the death values. The features of g (red) cannot be distinguished from the features of f (blue)

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