  We propose a method to fit arbitrarily accurate blendshape rig models by
solving the inverse rig problem in realistic human face animation. The method
considers blendshape models with different levels of added corrections and
solves the regularized least-squares problem using coordinate descent, i.e.,
iteratively estimating blendshape weights. Besides making the optimization
easier to solve, this approach ensures that mutually exclusive controllers will
not be activated simultaneously and improves the goodness of fit after each
iteration. We show experimentally that the proposed method yields solutions
with mesh error comparable to or lower than the state-of-the-art approaches
while significantly reducing the cardinality of the weight vector (over 20
percent), hence giving a high-fidelity reconstruction of the reference
expression that is easier to manipulate in the post-production manually. Python
scripts for the algorithm will be publicly available upon acceptance of the
paper.
