Wavelet Frame Based Color Image Demosaicing

Photosensitive device: Charge Coupled Device (CCD) and Complementary Met-al Oxide Semiconductor (CMOS) are the core of digital camera devices. When tak-ing pictures, single sensor digital cameras capture only one out of three RGB primarycolors, the sample data amounts only1/3of the whole data, the full-resolution col-or image is reconstructed from the incomplete data, and this process is called colorimage demosaicing. Most of the existing methods interpolate the color image basedon inter-channel correlation and local geometry, however, these methods would faildue to the low inter-channel correlation and complex texture structures. In this paper,we propose a two-stage wavelet frame based color image demosaicing method, it canrobustly reconstruct the color image and complex geometry based on the intra-andinter-channel correlation. The proposed method can be efciently solved by the Breg-manizedoperatorsplittingmethod, andnumericalresultshowsthatonthetwostandarddata sets: Kodak PhotoCD and McMaster data set, our proposed method achieves thestate-of-the-art demosaicing result.