The big thing to understand here is that there are a couple of different ways for a design to be represented, and each may be machined in a different fashion, or used in a different way.
To begin, the original pixel image:
is a pixel image rendering of a bas-relief 3D design which is available commercially:
https://www.etsy.com/listing/662739335/3d-stl-models-for-cnc-router-dove
under a very specific license.
Contrast this with a 3D model of a bird:
which may be downloaded and opened in a 3D program:
(and also repaired if need be)
as a 3D model it could be imported into a 3D CAM tool and cut in the round:
(with suitable stock and fixturing and so forth)
If one rotated it it would be possible to get a bas-relief version which would look like to the rendering:
(coming full circle)
Interestingly, there is now a utility program specifically for this sort of thing:
(mentioned at: CC Pro - What do you want to make in 3D? - #16 by robgrz )
As noted, if one wants to do a V carving, one will want a 2D vector representation:
Image by starline on Freepik
which once downloaded and converted and traced:
may be assigned a V carving toolpath:
