Eight new phenylisoxazole isoniazid derivatives, 3-(2′-fluorophenyl)isoxazole-5-carbaldehyde isonicotinylhydrazone (1), 3-(2′-methoxyphenyl)isoxazole-5-carbaldehyde (2), 3-(2′-chlorophenyl)isoxazole-5-carbaldehyde (3), 3-(3′-clorophenyl)isoxazole-5-carbaldehyde (4), 3-(4′-bromophenyl)isoxazole-5-carbaldehyde (5), 5-(4′-methoxiphenyl)isoxazole-3-carbaldehyde (6), 5-(4′-methylphenyl)isoxazole-3-c...

We consider the task of filtering the noise from images and other types of inputs which are assumed to be piecewise continuous and piecewise monotone. We show that nonlinear diffusion of the data, a powerful filtering method, is too restrictive for such a case, leading to piecewise constant functions. We claim that the piecewise monotonicity can be enhanced by nonlinear diffusion of first parti...