1. A method for solving inverse imaging problems in an image, the image comprising information on a plurality of channels, the method comprising: minimizing a cost objective function containing a data fitting term and one or more image prior terms to each of the plurality of channels, the one or more image prior terms comprising cross-channel information for the plurality of channels derived from the image; and solving each channel iteratively while holding other channels fixed by: jointly inverse imaging the image into corresponding channel information associated with each channel, said jointly inverse imaging comprising: decomposing the image into image components corresponding to respective channels; reconstructing the image by iteratively minimizing the cost objective function in one channel of the plurality of channels while maintaining the image components in a remaining one or more channels of the plurality of channels, wherein said minimizing the cost objective function comprises a comparison of image components in said one channel to image components in said remaining one or more channels and adjusting said image components accordingly; and outputting a reconstructed image.