Before revision: Detrending moving average (DMA)  is a widely used method to quantify the correlation of non-stationary signals. We generalize DMA to multifractal detrending moving average (MFDMA) , and then extend one-dimensional MFDMA to two-dimensional version.
After revision: Detrending moving average (DMA) is a widely used method to quantify the correlation of non-stationary time series and the long-range correlations of fractal surfaces, which contains a parameter \theta determining the position of the detrending window. We develop multifractal detrending moving average (MFDMA) , and then extend one-dimensional MFDMA to two-dimensional version.