Structurally it appears that the radial artery is occluded sacrificing arterial supply to the thumb, index, and middle finger. Without more history or more information, etiology may be difficult to ascertain.
Is it possible that the ulnar artery, as it joins with the communicating arch over the 2nd proximal metacarpal formed an AVM (arterio-venous malformation) diverting flow away from the radial artery? Just wondering.