last modification: September 10, 2006

Results with Color Images:

Original Images:

GoldHill.png

Lena.png

 

Degraded and Restored Images:

Results with the Proposed CA Formulation

20% salt e pepper noise

50% salt e pepper noise

70% salt e pepper noise

Restored with

Newman radius 1

Restored with

Newman radius 1

Restored with

Newman radius 1

 

 

 

 

 

20% salt e pepper noise

50% salt e pepper noise

70% salt e pepper noise

Restored with Newman radius 1

Restored with Newman radius 1

Restored with Newman radius 1

 

 

Back boxes de 10x10 pixels

covering 25% of the image pixels

Restored with Moore radius 1

Back boxes de 10x10 pixels covering 25% of the image pixels

Restored with Moore radius 1
Remark:

Newman approach means 4 neighbor pixels on consideration

Moore approach means 8 neighbor pixels on consideration

 

Same Images RestoredImages with other approaches:

Results with the Median Filter with Radius 2

20% salt e pepper noise 50% salt e pepper
70% salt e pepper noise 70% salt e pepper

 

 

Reconstruction with Median Filter using the best radius for each image

Imperfection level = 20% Restored with Median radius 2

Imperfection level = 50% Restoredwith Median radius 5

Imperfection level = 70% Restoredwith Median radius 6

Imperfection level = 70% Restored with Median radius 3

 
Imperfection level = 20% Restored with Median radius 2 Imperfection level = 50% Restoredwith Median radius 4 Imperfection level = 70% Restoredwith Median radius 4

 

Results summary for the proposed formulation

Imagem and imperfection level

Method and radius- r

Erms

SNR

PSNR

Lena 70%

salt e pepper noise

Newman      r = 1

5185,9 

13,1  

27,8

Newman      r = 2

6428,4    

10,6    

25,9

Moore          r = 1

5598,6    

12,1    

27,1

Moore          r = 2

7241,0    

9,4    

24,9

Lena 50%

salt e pepper noise

Newman      r = 1

3934,4    

17,3    

30,2

Newman      r = 2

5075,9    

13,4    

28,0

Moore          r = 1

4359,7    

15,6    

29,3

Moore          r = 2

5800,2    

11,7    

26,8

Lena 20%

salt e pepper noise

Newman      r = 1

2328,1    

29,2    

34,8

Newman      r = 2

2999,9    

22,6    

32,6

Moore          r = 1

2616,3    

25,9    

33,8

Moore          r = 2

3629,2    

18,7    

30,9

Lena 25%

Back boxes

0x10 pixels

Newman      r = 1

5098,9    

13,3    

28,0

Newman      r = 2

5441,2    

12,5    

27,4

Moore          r = 1

5135,8    

13,2    

27,9

Moore          r = 2

5622,2    

12,1    

27,1

GoldHill 70%

salt e pepper noise

Newman      r = 1

5818,2    

10,5    

26,8

Newman      r = 2

6775,4    

9,0    

25,5

Moore          r = 1

6259,3    

9,8    

26,2

Moore          r = 2

7618,7    

8,0    

24,5

GoldHill 50%

salt e pepper noise

Newman      r = 1

4572,2    

13,4    

28,9

Newman      r = 2

5411,8    

11,3    

27,4

Moore          r = 1

5037,6    

12,2    

28,1

Moore          r = 2

6232,3    

9,8    

26,2

GoldHill 20%

salt e pepper noise

Newman      r = 1

2675,2    

22,9    

33,6

Newman      r = 2

3282,6    

18,7     

31,8

Moore          r = 1

2994,0    

20,5    

32,6

Moore          r = 2

3834,6    

16,0    

30,4

GoldHill 25%

Back boxes

10x10 pixels

Newman      r = 1

4839,6    

12,7    

28,4

Newman      r = 2

4966,4    

12,3    

28,2

Moore          r = 1

5022,2    

12,2    

28,1

Moore          r = 2

5424,4    

11,3    

27,4

 

Results summary with Median Filter using best radius:

Image, imperfection level and restored, radius, r:

Erms

SNR

PSNR

GoldHill 20% - Median filter r = 2

4933,4     

12,3    

28,2

GoldHill 50% - Median filter r =  5

7226,9

8,4

24,9

GoldHill 70% - Median filter r =  6

8482,5    

7,2    

23,5

Lena 20% -Median filter r = 2

3887,8

17,4

30,3

Lena 50% -Median filter r = 4

6017,6

11,2

26,5

Lena 70% -Median filter r = 3

13020,7

2,3

13,0

Lena 70% -Median filter r = 4

9274,3

7,3

22,8