  In this paper, we consider the problem of finding dense intrinsic
correspondence between manifolds using the recently introduced functional
framework. We pose the functional correspondence problem as matrix completion
with manifold geometric structure and inducing functional localization with the
$L_1$ norm. We discuss efficient numerical procedures for the solution of our
problem. Our method compares favorably to the accuracy of state-of-the-art
correspondence algorithms on non-rigid shape matching benchmarks, and is
especially advantageous in settings when only scarce data is available.
