Figure 3
\(1/f^\alpha\) textures generated from the same white Gaussian noise seed. (a–c) Quantile representations over 255 levels of \(1/f^\alpha\) random fields with respective roughness \(\text {H} = -0.5, 0, 0.5\) and spatial resolution \(512\times 512\). (d) Azimuthally averaged power spectrum \(\langle S(f,\theta ) \rangle _\theta\). Black dashed lines indicate the theoretical power spectrum decay \(1/f^{2 \alpha }\) with \(\alpha = 1+\text {H}\).
