Demosaicking is a method to restore the mosaicked image generated by the color filter array to a full-color image. The performance of the demosaicking algorithm is crucial to the reconstruction of high-quality color images. However, current demosaicking algorithms inevitably cause zipper effects or false color artifacts in the process of demosaicking. We combine low-rank constraint based on spectral domain with image non-local similarity to correct the interpolation errors. Our method is applicable to various existing demosaicking algorithms and can further improve the quality of full color image reconstruction. Experimental results demonstrate that the proposed algorithm can improve the color peak signal to noise ratio of the reconstructed images.