def local_thickness(im, sizes=25, mode='hybrid'):
    r"""
    For each voxel, this functions calculates the radius of the largest sphere
    that both engulfs the voxel and fits entirely within the foreground. This
    is not the same as a simple distance transform, which finds the largest
    sphere that could be *centered* on each voxel.

    Parameters
    ----------
    im : array_like
        A binary image with the phase of interest set to True

    sizes : array_like or scalar
        The sizes to invade.  If a list of values of provided they are used
        directly.  If a scalar is provided then that number of points spanning
        the min and max of the distance transform are used.

    mode : string
        Controls with method is used to compute the result.  Options are:

        'hybrid' - (default) Performs a distance tranform of the void space,
        thresholds to find voxels larger than ``sizes[i]``, trims the resulting
        mask if ``access_limitations`` is ``True``, then dilates it using the
        efficient fft-method to obtain the non-wetting fluid configuration.

        'dt' - Same as 'hybrid', except uses a second distance transform,
        relative to the thresholded mask, to find the invading fluid
        configuration.  The choice of 'dt' or 'hybrid' depends on speed, which
        is system and installation specific.

        'mio' - Using a single morphological image opening step to obtain the
        invading fluid confirguration directly, *then* trims if
        ``access_limitations`` is ``True``.  This method is not ideal and is
        included mostly for comparison purposes.

    Returns
    -------
    image : ND-array
        A copy of ``im`` with the pore size values in each voxel

    See Also
    --------
    porosimetry

    Notes
    -----
    The term *foreground* is used since this function can be applied to both
    pore space or the solid, whichever is set to ``True``.

    This function is identical to ``porosimetry`` with ``access_limited`` set
    to ``False``.

    The way local thickness is found in PoreSpy differs from the traditional
    method (i.e. `used in ImageJ <https://imagej.net/Local_Thickness>`_).
    Our approach is probably slower, but it allows for the same code to be
    used for ``local_thickness`` and ``porosimetry``, since we can 'trim'
    invaded regions that are not connected to the inlets in the ``porosimetry``
    function.  This is not needed in ``local_thickness`` however.

    """
    im_new = porosimetry(im=im, sizes=sizes, access_limited=False, mode=mode)
    return im_new
def local_thickness ( im , sizes = 25 , mode = 'hybrid' ) : im_new = porosimetry ( im = im , sizes = sizes , access_limited = False , mode = mode ) return im_new
r"""
    For each voxel, this functions calculates the radius of the largest sphere
    that both engulfs the voxel and fits entirely within the foreground. This
    is not the same as a simple distance transform, which finds the largest
    sphere that could be *centered* on each voxel.

    Parameters
    ----------
    im : array_like
        A binary image with the phase of interest set to True

    sizes : array_like or scalar
        The sizes to invade.  If a list of values of provided they are used
        directly.  If a scalar is provided then that number of points spanning
        the min and max of the distance transform are used.

    mode : string
        Controls with method is used to compute the result.  Options are:

        'hybrid' - (default) Performs a distance tranform of the void space,
        thresholds to find voxels larger than ``sizes[i]``, trims the resulting
        mask if ``access_limitations`` is ``True``, then dilates it using the
        efficient fft-method to obtain the non-wetting fluid configuration.

        'dt' - Same as 'hybrid', except uses a second distance transform,
        relative to the thresholded mask, to find the invading fluid
        configuration.  The choice of 'dt' or 'hybrid' depends on speed, which
        is system and installation specific.

        'mio' - Using a single morphological image opening step to obtain the
        invading fluid confirguration directly, *then* trims if
        ``access_limitations`` is ``True``.  This method is not ideal and is
        included mostly for comparison purposes.

    Returns
    -------
    image : ND-array
        A copy of ``im`` with the pore size values in each voxel

    See Also
    --------
    porosimetry

    Notes
    -----
    The term *foreground* is used since this function can be applied to both
    pore space or the solid, whichever is set to ``True``.

    This function is identical to ``porosimetry`` with ``access_limited`` set
    to ``False``.

    The way local thickness is found in PoreSpy differs from the traditional
    method (i.e. `used in ImageJ <https://imagej.net/Local_Thickness>`_).
    Our approach is probably slower, but it allows for the same code to be
    used for ``local_thickness`` and ``porosimetry``, since we can 'trim'
    invaded regions that are not connected to the inlets in the ``porosimetry``
    function.  This is not needed in ``local_thickness`` however.