Illustration of wavelet decomposition and multiresolution support of an astronomical image. Left panels: true image and true image with additional Gaussian noise; middle panels: Wavelet decomposition of the noised image with the DoG wavelet dictionary computed with filter sizes σ₀ = 1,σ₁ = 2, σ₂ = 4,…,σ₅ = 32 pixels; right panels: multiresolution support computed by thresholding the wavelet scales to the scale-dependent noise plotted as a mask with value 1 (coefficient in the support) or 0 (coefficient not in the multiresolution support).