Chromatic Aberration of lenses is becoming increasingly visible with the rise of sensor resolution, and methods
to algorithmically correct it are becoming increasingly common in commercial systems. A popular class of
algorithms undo the geometric distortions after demosaicking. Since most demosaickers require high frequency
correlation of primary colors to work effectively, the result is artifact-ridden as Chromatic Aberration destroys
this correlation.
The other existing approach of undistorting primary color images before demosaicking requires resampling
of sub-sampled primary color images and is prone to aliasing. Furthermore, this algorithm cannot be applied to
panchromatic CFAs.
We propose a joint demosaicking and Chromatic Aberration correction algorithm that is applicable to both
panchromatic and primary color CFAs and suffers from none of the above problems. Our algorithm treats
the mosaicing process as a linear transform that is invertible if luminance and chrominance are appropriately
bandlimited. We develop and incorporate Chromatic Aberration corrections to this model of the mosaicing
process without altering its linearity or invertibility. This correction works for both space variant linear filter
demosaicking and the more aggressive compressive sensing reconstruction.
We present CFA designs that faithfully capture images with specified luminance and chrominance bandwidths.
Previous academic research has mostly been concerned with maximizing PSNR of reconstructed images without
regard to chrominance bandwidth and cross-talk. Commercial systems, on the other hand, pay close attention
to both these parameters as well as to the visual quality of reconstructed images. They commonly sacrifice
resolution by using a sufficiently aggressive OLPF to achieve low cross-talk and artifact free images.
In this paper, we present the so called Chrominance Bandwidth Ratio, r, model in an attempt to capture
both the chrominance bandwidth and the cross-talk between the various signals. Next, we examine the effect
of tuning photosite aspect ratio, a hitherto neglected design parameter, and show the benefit of setting it at a
different value than the pixel aspect ratio of the display. We derive panchromatic CFA patterns that provably
minimize the photo-site count for all values of r.
An interesting outcome is a CFA design that captures full chrominance bandwidth, yet uses fewer photosites
than the venerable color-stripe design. Another interesting outcome is a low cost practical CFA design that
captures chrominance at half the resolution of luminance using only 4 unique filter colors, that lends itself to
efficient linear demosaicking, and yet vastly outperforms the Bayer CFA with identical number of photosites
demosaicked with state of the art compute-intensive nonlinear algorithms.
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