This invention presents a super-resolution image reconstruction from a
sequence of aliased imagery. The sub-pixel shifts (displacement) among
the images are unknown due to uncontrolled natural jitter of the imager.
A correlation method is utilized to estimate sub-pixel shifts between
each low resolution aliased image with respect to a reference image. An
error-energy reduction algorithm is derived to reconstruct the
high-resolution alias-free output image. The main feature of this
proposed error-energy reduction algorithm is that we treat the spatial
samples from low-resolution images that possess unknown and irregular
(uncontrolled) sub-pixel shifts as a set of constraints to populate an
over-sampled (sampled above the desired output bandwidth) processing
array. The estimated sub-pixel locations of these samples and their
values constitute a spatial domain constraint. Furthermore, the bandwidth
of the alias-free image (or the sensor imposed bandwidth) is the
criterion used as a spatial frequency domain constraint on the
over-sampled processing array.