  Multi-dimensional magnetic resonance spectroscopy is an important tool for
studying molecular structures, interactions and dynamics in bio-engineering.
The data acquisition time, however, is relatively long and non-uniform sampling
can be applied to reduce this time. To obtain the full spectrum,a
reconstruction method with Vandermonde factorization is proposed.This method
explores the general signal property in magnetic resonance spectroscopy: Its
time domain signal is approximated by a sum of a few exponentials. Results on
synthetic and realistic data show that the new approach can achieve faithful
spectrum reconstruction and outperforms state-of-the-art low rank Hankel matrix
method.
