This paper presents Bayesian edge inference (BEI), a
single-frame super-resolution method explicitly grounded in
Bayesian inference that addresses issues common to existing
methods. Though the best give excellent results at modest
magnification factors, they suffer from gradient stepping
and boundary coherence problems by factors of 4x. Central
to BEI is a causal framework that allows image capture
and recapture to be modeled differently, a principled
way of undoing downsampling blur, and a technique for
incorporating Markov random field potentials arbitrarily
into Bayesian networks. Besides addressing gradient and
boundary issues, BEI is shown to be competitive with existing
methods on published correctness measures. The model
and framework are shown to generalize to other reconstruction
tasks by demonstrating BEI’s effectiveness at CCD demosaicing
and inpainting with only trivial changes.
Bryan S. Morse, Dan Ventura, Kevin D. Seppi, Neil