Reconstruction of images from their observation through Bayer and honeycomb color filter arrays

The general theory of consistent sampling by Unser and Aldroubi is applied to reconstruction of color images from their non-ideally observed data through Bayer and honeycomb color filter arrays. An image is assumed to be represented by bivariate box splines over the orthogonal or hexagonal mesh for the case of Bayer or honeycomb arrays, respectively. Then its reconstruction is made by computing the coefficients for its box spline representation so that mathematical re-observation of the spline representation through the array be the same as the observed data.