Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration...
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Transcript of Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration...
![Page 1: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/1.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 2: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/2.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 3: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/3.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 4: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/4.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 5: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/5.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 6: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/6.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 7: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/7.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 8: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/8.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 9: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/9.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 10: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/10.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 11: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/11.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 12: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/12.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 13: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/13.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 14: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/14.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 15: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/15.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 16: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/16.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 17: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/17.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 18: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/18.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 19: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/19.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 20: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/20.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 21: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/21.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 22: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/22.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 23: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/23.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 24: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/24.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 25: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/25.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 26: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/26.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 27: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/27.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 28: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/28.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Deblurring: Pseudo-Inverse Filtering
h(m,n)
blurring filter
g(m,n)x(m,n) y(m,n)
deblur filter
x(m,n)^
G(u,v) =1
H(u,v)
|),(|0
|),(|),(
1),(
vuH
vuHvuHvuG
Inverse filter: What if at some (u,v), H(u,v) is 0 (or very close to 0) ?
Pseudo-inverse filter: small threshold
![Page 29: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/29.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Inverse and Pseudo-Inverse Filtering
),(1),(
vuHvuG
|),(|0
|),(|),(
1),(
vuH
vuHvuHvuG
= 0.1
blurred image
![Page 30: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/30.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 31: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/31.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 32: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/32.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 33: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/33.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 34: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/34.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 5Image Restoration
![Page 35: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/35.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Wiener (Least Square) Filtering
KvuHvuHvuG
2|),(|),(*),(
2
2
X
WK
• Optimal in the least MSE sense, i.e.G(u, v) is the best possible linear filter that minimizes
noise power
signal power
Wiener filter:
2),(),(ˆ vuXvuXEenergyerror
•Have to estimate signal and noise power
![Page 36: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/36.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Inverse filtering
Radially limited inverse
filteringR = 70
Weiner filtering
Blurred image
From [Gonzalez & Woods]
![Page 37: Digital Image Processing, 2nd ed. 2002 R. C. Gonzalez R. E. Woods Chapter 5 Image Restoration Chapter 5 Image Restoration.](https://reader034.fdocuments.net/reader034/viewer/2022051105/5a4d1b757f8b9ab0599b6bef/html5/thumbnails/37.jpg)
Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Inverse vs. Weiner Filtering
From [Gonzalez & Woods]
distorted inverse filtering
Wiener filtering
motion blur +noise
less noise
less noise