An Exact Algorithm For Determining Protein Backbone Structure From NH 
Residual Dipolar Couplings

Lincong Wang, Ramgopal R. Mettu, Ryan Lilien, Bruce Randall Donald

We have developed a novel algorithm for protein backbone
structure determination using global orientational restraints
on internuclear bond vectors derived from residual
dipolar couplings (RDCs) measured in solution NMR. The
algorithm is a depth-first search (DFS) strategy that is built
upon two low-degree polynomial equations for computing
the backbone $(\phi,\psi)$ angles, exactly and in constant time,
from two bond vectors in consecutive peptide planes.