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Digital Image Processing, 2nd ed. www.imageprocessingbook.com © 2002 R. C. Gonzalez & R. E. Woods Chapter 4 Image Enhancement in the Frequency Domain

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Page 1: 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Digital Image Processing, 2nd ed.www.imageprocessingbook.com

© 2002 R. C. Gonzalez & R. E. Woods

Chapter 4Image Enhancement in the

Frequency Domain

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