Synthetic Example

Figure 3: Filtering a set of noisy step edges (constant regions) with a variety of coarsening filters.

Input Image Visualization

Gaussian: simga_s = 4 Gaussian: simga_s = 12

BLF: sigma_s = 4, sigma_r = 0.15 BLF: sigma_s = 12, sigma_r = 0.15

BLF: sigma_s = 12, sigma_r = 0.3 BLF: sigma_s = 12, sigma_r = 0.45

WLS: alpha = 1.2, lambda = 0.25 WLS: alpha = 1.8, lambda = 0.35

Input Image	Visualization

Gaussian: simga_s = 4	Gaussian: simga_s = 12

BLF: sigma_s = 4, sigma_r = 0.15	BLF: sigma_s = 12, sigma_r = 0.15

BLF: sigma_s = 12, sigma_r = 0.3	BLF: sigma_s = 12, sigma_r = 0.45

WLS: alpha = 1.2, lambda = 0.25	WLS: alpha = 1.8, lambda = 0.35