Stochastic modeling and estimation of multispectral image data

The application of a monochromatic restoration algorithm to each channel within a multispectral image does not result in an estimate which takes into account cross-channel correlation. A non-Gaussian prior model is proposed for multispectral images, using the Gibbs distribution. The density accounts for both spatial (within channel) and spectral (between channel) information. Spatial components use a nonlinear operator to preserve discontinuities within each channel, while spectral components incorporate cross-channel information in the model. The prior density is used in a maximum a posteriori (MAP) estimation algorithm for the restoration of color images. The resulting nonlinear estimates are shown to be quantitatively superior to linear estimates produced by multichannel Wiener and least squares restoration, which implicitly use Gaussian priors.<
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