A INFLUÊNCIA DAS BASES
NA COMPRESSÃO DE
IMAGEM POR WAVELETS
Marcello Santos da Fonseca
Aura Conci
Instituto de Computação
UFF
COMPRESSÃO E DESCOMPRESSÃO
H
H’
2
2
cD
cD
S
S
L
cA
2
Decomposição
L’
cA
2
Reconstrução
PROCESSAMENTO
IMAGENS DE TESTE
Lena 128X128
Lena 256X256
Peppers 128X128
Camer 128X128
Camer 256X256
Círculo 256X256
Goldhill 128X128
Goldhill 256X256
Senoidal 256X256
Peppers 512X512
Xadrez 256X256
Texto 256X256
AS BASES
Haar
Coiflets
Biortogonal
Daubechies
Symlets
s y m8
s y m7
s y m6
s y m5
s y m4
s y m3
c oif 5
s y m2
c oif 4
c oif 3
c oif 2
bior5
.5
bior6
.8
c oif 1
bior3
.7
bior3
.9
bior4
.4
bior3
.1
bior3
.3
bior3
.5
bior2
.4
bior2
.6
bior2
.8
db9
db10
bior1
.3
bior1
.5
bior2
.2
db8
db7
db6
db5
db4
db3
haar
db2
PSNR (dB)
s y m4
s y m5
s y m6
s y m7
s y m8
s y m4
s y m5
s y m6
s y m7
s y m8
bior5
.5
bior6
.8
c oif 1
bior3
.7
bior3
.9
bior4
.4
bior3
.1
bior3
.3
bior3
.5
bior2
.4
bior2
.6
bior2
.8
db9
db10
bior1
.3
bior1
.5
bior2
.2
db8
db7
db6
db5
db4
db3
haar
bd2
s y m3
0
s y m3
50
c oif 5
s y m2
100
c oif 5
s y m2
150
c oif 4
200
c oif 4
250
c oif 3
300
c oif 3
350
c oif 2
Xadrez 256X256
c oif 2
c oif 1
bior4
.4
bior5
.5
bior6
.8
bior3
.5
bior3
.7
bior3
.9
bior2
.4
bior2
.6
bior2
.8
bior3
.1
bior3
.3
bior1
.3
bior1
.5
bior2
.2
db9
db10
db8
db7
db6
db5
db3
db4
haar
db2
PSNR (dB)
PSNR (dB)
COMPARAÇÃO ENTRE BASES
Lena 128X128
52
50
48
46
44
EQUAÇÕES
Texto 256X256
50
 1
erms  
 MN
40
10
0
M 1 N 1
 Gx, y   F x, y  
x 0 y 0
M1N1
30
SNRms  M1N1
20
x0 y0
2
Gx, yFx, y
2
SNRrms  SNRms
 2n 1
PSNR  20 log 10 

 erms 


(1)
Gx, y
x0 y0
2
(2)
(3)
(4)
RESUMO DOS RESULTADOS
Lena 128X128
Lena 256X256
160
Pepper 218X128
60
140
Pepper 512X512
180
160
160
140
50
140
120
40
100
120
120
100
100
80
30
80
80
60
20
40
40
40
10
20
20
20
0
haar
bior3.1
60
60
0
SNRrms
PSNR
139,1239922
88,06799136
51,40310344
46,8160336
haar
bior3.1
Camer 128X128
SNRrms
PSNR
55,86645614
35,18470294
44,70830572
38,77424804
0
0
haar
bior1.3
Camer 256X256
250
PSNR
51,13331916
51,12250674
coif1
bior3.1
Círculo 256X256
60
200
50
PSNR
49,49948083
45,15882335
4,5E+15
900
4E+15
800
3,5E+15
700
3E+15
600
40
SNRrms
133,7159752
82,67085839
Xadrez 256X256
1000
70
150
SNRrms
149,3632715
154,9864986
2,5E+15
500
30
100
1,5E+15
300
1E+15
200
50
10
SNRrms
PSNR
218,4355898
133,4936817
55,17175161
50,80962942
haar
bior3.1
Goldhill 128X128
5E+14
100
0
0
db9
bior3.1
2E+15
400
20
SNRrms
PSNR
63,12815912
38,50931922
45,91508712
39,70081771
0
0
haar
db10
SNRrms
PSNR
940,0245117
128,3621039
78,64802531
51,27205881
haar
db10
Senoidal 256X256
Goldhill 256X256
80
45
100
80
70
40
90
35
80
30
70
60
60
50
40
40
30
30
15
30
20
10
10
10
5
0
0
0
20
SNRrms
PSNR
83,90485681
49,94473141
47,49372507
42,38624849
bd2
bior3.1
50
20
40
haar
bior3.1
60
25
50
PSNR
318,8126541
50,60110379
Texto 256X256
90
70
SNRrms
3,96364E+15
133,519274
SNRrms
PSNR
72,75275584
44,03800617
45,77216272
41,16302058
haar
bior3.1
20
10
SNRrms
PSNR
36,12545688
27,80478466
40,21802906
36,26067313
0
haar
bior1.3
SNRrms
PSNR
86,93968495
73,94884024
47,17820867
42,21790173