Fourier ptychographic microscopy (FPM) is a recently developed imaging method, which stitches together a sequence of
low-resolution images in Fourier space in the iterative manner. However, the high-resolution color image super-resolved
by this method always has problems of dispersion when compared to the high-resolution image observed under highmagnification
lens. In this paper, we propose a new method for super-resolving multi-channel images. Instead of simply
applying the FPM algorithm to RGB channels respectively, the method considers the relationship among each channel,
which is employed to correct the result. Experimental results demonstrate that the dispersion can be eliminated,
compared with the super-resolving multi-channel image got from original FPM algorithm. Besides, the robustness of
Fourier ptychographic imaging is improved and the running time of the super-resolution of color images is reduced.