Effect of choosing different interaction potentials. \\textbf{Top row:} The\noriginal image (left) is segmented into $12$ regions corresponding to prototypical colors vectors.\nThe Potts interaction potential penalizes the boundary length independently of the labels (right), which leads\nto a uniformly smooth segmentation. \\textbf{Bottom row:} By modifying the interaction potential,\nthe regularization strength is selectively adjusted to suppress\nbackground (left) or foreground (right) structures while allowing\nfor fine details in the other regions.\n