Wavelet coefficents of the input and output dust maps for the component separation applied on the Herschel Spider map. The PDFs of the real part of the wavelet coefficients of d_S, , and are compared at scales θ = 0.4, 0.8, and 1.6′. They are displayed as a function of I * ψ_θ/σ_θ where ψ_θ is the wavelet at scale θ and σ_θ is the standard deviation of the wavelet coefficients. We employed the same oriented wavelets as those used to calculate WPH statistics. The PDFs are computed over all the pixels of the eight convolution maps obtained using the wavelets of different orientations. The colored bands represent ±1σ error-bars.