.

    Scales the output so that maximum radius rests on the edge of the axes
    circle and the origin is mapped to (0.5, 0.5). The transform applied is
    the same to x and y components and given by:

    .. math::

        x_{1} = 0.5 \left [ \frac{x_{0}}{(r_{\max} - r_{\min})} + 1 \right ]

    :math:`r_{\min}, r_{\max}` are the minimum and maximum radial limits after
    any scaling (e.g. log scaling) has been removed.
    c