As I indicated in my comment:
- You need the amino acid sequence and values for bond lengths before you could determine the atomic co-ordinates from the dihedral angles.
- Originally the dihedral angles are calculated from the experimentally atomic co-ordinates (with the help of the sequence), so that what you propose is in its nature an academic exercise.
There is, however, a situation in which I have — in effect — done that, in exploring the structures that would be produced if the dihedral angles were varied. Rather than a command-line tool, there is a graphical tool that allows you to vary the angles interactively and see the results. This is the excellent Ramachandran Plot Explorer (Rama) by Bosco Ho. And yes, it can also generate the co-ordinates — you can save the results in PDB format to reopen or to visualize with other protein graphic software, such as JSmol.
The only problem is that the last version of this software was released in 2006, and is not 64-bit, so it will not run on the next version of Mac OS X (no idea about Windows). Bosco’s blog is still active, so perhaps he could be persuaded…