I have a cartopy GeoAxesSubplot with some points, and potentially lines or polygons. The projection could be any that is supported by cartopy, including orthographic.

I can plot using different transformations, as explained

I would like to transform geographical coordinates to get the cartesian coordinates of the object in the axis (e.g. a subplot). That is, the coordinates in the range [0,1] in the axes of the figure, with (0,0) in the lower-left corner, and (1,1) in the upper-right.

In the case above, b should be converted to (0.5, 0, 5) as it is in the center of the map.

Something similar can be done using