Counteracting geometrical attacks on robust image watermarking by constructing a deformable pyramid transform

EURASIP Journal on Advances in Signal Processing

Table 4 Performances against global geometrical attacks in StirMark 4.1

Attack	Tank		Globe		Lena		Man		Zelda
Attack	DMST	DPT	DMST	DPT	DMST	DPT	DMST	DPT	DMST	DPT
RotCrp.	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok
RotScl.	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok	Ok
Scaling	0.5 to 1.81	0.6 to 2	0.5 to 1.5	0.6 to 2	0.5 to 1.63	0.7 to 1.9	0.5 to 1.51	0.7 to 1.9	0.5 to 1.57	0.7 to 1.85
Crop	0.62 to 1	0.51 to 1	0.61 to 1	0.55 to 1	0.59 to 1	0.51 to 1	0.76 to 1	0.59 to 1	0.51 to 1	0.51 to 1

In the table, ‘RotCrp’ and ‘RotScl.’ denote the attacks of rotation with auto-cropping and rotation with auto-cropping and scaling, respectively. The ‘Ok’ has the same meaning as Table 3, and the given values for ‘Scaling’ and ‘Crop’ are ranges of scaling factors and cropping ratios that DMST or DPT can successfully resist, respectively.