Some Definitions
Some Definitions
For an image X and its restored image Y,
with pixel indices 1 £ i £ M and
1 £ j £ N, image size N×M pixels, and n bits per pixel:
- Mean Square Error (MSE):
|
MSE = |
1
MN
|
|
M
å
i = 1
|
|
N
å
j = 1
|
[X(i,j)-Y(i,j)]2. |
|
- Mean Absolute Error (MAE):
|
MAE = |
1
MN
|
|
M
å
i = 1
|
|
N
å
j = 1
|
|X(i,j)-Y(i,j)|. |
|
- Peak Signal-to-Noise Ratio (PSNR):
|
PSNR = 20log10 |
æ
ç
è
|
|
2n
MSE1/2
|
|
ö
÷
ø
|
. |
|
File translated from TEX by TTH, version 1.94.
On 26 Feb 2004, 12:55.