Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. ©...
Transcript of Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. ©...
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Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 2: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/2.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 3: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/3.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 4: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/4.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 5: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/5.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
1. Multiply image by (-1)x+y
2. Compute DFT H(u,v)
3. Multiply F(u,v) by filter H(u,v)
4. Compute IDFT
5. Take the real part of result
6. Multiply result in 5. by (-1)x+y
![Page 6: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/6.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 7: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/7.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 8: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/8.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 9: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/9.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 10: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/10.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 11: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/11.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 12: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/12.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 13: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/13.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 14: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/14.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 15: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/15.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 16: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/16.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 17: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/17.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 18: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/18.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 19: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/19.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 20: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/20.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 21: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/21.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 22: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/22.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 23: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/23.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 24: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/24.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 25: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/25.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 26: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/26.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 27: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/27.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 28: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/28.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 29: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/29.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 30: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/30.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 31: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/31.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 32: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/32.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 33: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/33.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 34: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/34.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
![Page 35: Chapter 4 Image Enhancement in the Frequency Domain€¦ · Digital Image Processing, 2nd ed. © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain](https://reader033.fdocuments.us/reader033/viewer/2022051321/5fecd062f55ab44e871d425e/html5/thumbnails/35.jpg)
Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain