Variance and skewness for the target image (in red) and the emulated image (in blue) obtained using a tophat scaling function to derive the wavelet. The emulated image was created by an algorithm that matched the wavelet ℓ₁-norm of the target image from the SLICS simulation. Benchmarking was conducted by smoothing both images with different radii via a tophat filter, partitioning them into patches, and calculating skewness, variance, kurtosis, and their associated error bars by taking the standard deviation of the values obtained from four different patches of the maps. The x-axis represents the smoothing scale in arcminutes.