Integer fast lapped transforms based on direct-lifting of DCTs for lossy-to-lossless image coding

Suzuki, Taizo; Ikehara, Masaaki

doi:10.1186/1687-5281-2013-65

EURASIP Journal on Image and Video Processing

Table 3 Comparison of lossy image coding (PSNR (dB))

From: Integer fast lapped transforms based on direct-lifting of DCTs for lossy-to-lossless image coding

	Comp.	LiftLT	9/7-DWT	HLT	Conventional FLTs				Proposed FLTs
	Ratio	[12]	[14]	[16]	(A)	(B)	(C)	(D)	(E)	(F)	(G)	(H)
Baboon	1:32	22.72	22.90	22.38	22.86	22.88	22.88	22.89	22.87	22.91	22.89	22.91
	1:16	24.98	25.11	24.67	25.11	25.17	25.14	25.15	25.13	25.19	25.16	25.19
	1:8	28.31	28.55	28.10	28.49	28.45	28.48	28.42	28.55	28.53	28.52	28.51
Barbara	1:32	28.01	27.56	27.01	27.80	28.72	28.02	28.84	27.83	28.77	28.03	28.90
	1:16	32.02	31.49	30.85	31.70	32.55	32.02	32.65	31.76	32.67	32.08	32.80
	1:8	37.07	36.28	36.00	36.33	36.65	36.60	36.66	36.59	37.13	36.84	37.19
Boat	1:32	29.20	29.43	28.80	28.93	28.98	29.21	29.08	28.97	29.04	29.23	29.13
	1:16	32.36	32.45	32.02	32.05	32.00	32.26	32.08	32.13	32.13	32.33	32.22
	1:8	35.70	35.50	35.21	35.20	35.07	35.23	35.04	35.44	35.43	35.46	35.40
Elaine	1:32	31.83	31.99	31.54	31.28	31.29	31.55	31.42	31.32	31.35	31.61	31.50
	1:16	32.86	32.98	32.20	32.39	32.63	32.53	32.74	32.49	32.78	32.62	32.87
	1:8	35.00	34.77	34.24	34.46	34.97	34.44	34.94	34.67	35.32	34.69	35.26
Finger	1:32	23.42	23.69	22.95	23.56	23.94	23.71	23.99	23.57	23.97	23.72	24.02
	1:16	26.62	26.92	26.31	26.76	27.27	26.92	27.29	26.79	27.32	26.94	27.34
	1:8	30.67	30.50	30.12	30.57	31.29	30.76	31.30	30.64	31.44	30.82	31.44
Finger2	1:32	24.36	24.63	23.27	24.40	24.72	24.62	24.79	24.42	24.76	24.63	24.82
	1:16	27.73	28.04	27.09	27.84	28.19	28.09	28.26	27.86	28.25	28.12	28.32
	1:8	31.83	31.85	31.39	31.80	32.24	32.10	32.23	31.89	32.42	32.19	32.39
Goldhill	1:32	29.72	30.06	29.62	29.39	29.53	29.66	29.62	29.43	29.59	29.69	29.68
	1:16	32.35	32.37	32.02	31.97	32.06	32.15	32.10	32.05	32.20	32.22	32.25
	1:8	35.57	35.36	35.17	35.03	34.98	35.06	34.93	35.26	35.36	35.29	35.30
Grass	1:32	24.44	24.63	24.26	24.58	24.62	24.66	24.63	24.61	24.66	24.68	24.65
	1:16	26.65	26.73	26.37	26.76	26.87	26.81	26.87	26.78	26.92	26.84	26.92
	1:8	29.67	29.62	29.39	29.74	29.90	29.77	29.86	29.80	30.00	29.81	29.98
Lena	1:32	32.80	33.46	32.76	32.27	32.44	32.83	32.69	32.37	32.55	32.89	32.83
	1:16	36.04	36.32	35.90	35.42	35.42	35.92	35.65	35.59	35.71	36.08	35.96
	1:8	39.02	38.83	38.62	37.95	37.57	38.09	37.64	38.47	38.53	38.55	38.50
Pepper	1:32	32.35	32.89	32.52	31.62	31.73	32.33	31.99	31.68	31.84	32.38	32.13
	1:16	34.69	35.13	34.71	34.13	33.78	34.58	34.09	34.29	34.02	34.73	34.34
	1:8	37.07	36.79	36.39	36.18	35.94	36.21	35.91	36.50	36.44	36.53	36.41

A, the conventional 8 × 16 FLOT; B, the conventional 16 × 32 FLOT; C, the conventional 8 × 16 FLBT; D, the conventional 16 × 32 FLOT; E, the proposed 8 × 16 FLOT; F, the proposed 16 × 32 FLOT; G, the proposed 8 × 16 FLBT; and H, the proposed 16 × 32 FLBT.

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