Full-color imaging is of critical importance in digital pathology for analyzing labeled tissue sections. In our previous cover story [Sci. China: Phys., Mech. Astron.64, 114211 (2021)SCPMCL1674-734810.1007/s11433-021-1730-x], a color transfer approach was implemented on Fourier ptychographic microscopy (FPM) for achieving high-throughput full-color whole slide imaging without mechanical scanning. The approach was able to reduce both acquisition and reconstruction time of FPM by three-fold with negligible trade-off on color accuracy. However, the method cannot properly stain samples with two or more dyes due to the lack of spatial constraints in the color transfer process. It also requires a high computation cost in histogram matching of individual patches. Here we report a modified full-color imaging algorithm for FPM, termed color-transfer filtering FPM (CFFPM). In CFFPM, we replace the original histogram matching process with a combination of block processing and trilateral spatial filtering. The former step reduces the search of the solution space for colorization, and the latter introduces spatial constraints that match the low-resolution measurement. We further adopt an iterative process to refine the results. We show that this method can perform accurate and fast color transfer for various specimens, including those with multiple stains. The statistical results of 26 samples show that the average root mean square error is only 1.26% higher than that of the red-green-blue sequential acquisition method. For some cases, CFFPM outperforms the sequential method because of the coherent artifacts introduced by dust particles. The reported CFFPM strategy provides a turnkey solution for digital pathology via computational optical imaging.