chapter 4 image enhancement in the frequency domain
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Chapter 4 Image Enhancement in the Frequency Domain. Chapter 4 Image Enhancement in the Frequency Domain. Chapter 4 Image Enhancement in the Frequency Domain. MATLAB/Image Processing Toolbox. MATLAB Fourier transforms >> f=imread(‘Figure_Rectangle.jpg’); % load in spatial rectangle - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/1.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 2: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/2.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 3: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/3.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 4: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/4.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
MATLAB/Image Processing ToolboxMATLAB/Image Processing Toolbox
MATLAB Fourier transforms
>> f=imread(‘Figure_Rectangle.jpg’); % load in spatial rectangle>> F=fft2(f); % do 2D FFT>> S=abs(F); % determine magnitude for display>> imshow(S, [ ]) % shows in four corners of display>> Fc=fftshift(F); % shift FFT to center>> imshow(abs(Fc), [ ]); % show magnitude of FFT in center
% much tougher to do display transform>> g=im2unit8(mat2gray(log(1+double(f))));>> imshow(g)% double converts the image to double precision floating point% mat2gray brings the values to the range [0,1]% im2unit8 brings the values back to the range [0,255]
% general log transform>> g=im2unit8(mat2gray(c*log(1+double(f))));
SEE GWE, Section 4.2 Computing and Visualizing the 2-D DFT in MATLABGWE, Section 3.2.2 Logarithmic and Contrast Stretching Transformations
![Page 5: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/5.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 6: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/6.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 7: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/7.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 8: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/8.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 9: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/9.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 10: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/10.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 11: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/11.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 12: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/12.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 13: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/13.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 14: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/14.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 15: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/15.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 16: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/16.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 17: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/17.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 18: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/18.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 19: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/19.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 20: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/20.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 21: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/21.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 22: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/22.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 23: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/23.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 24: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/24.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 25: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/25.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 26: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/26.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 27: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/27.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 28: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/28.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 29: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/29.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 30: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/30.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 31: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/31.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 32: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/32.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 33: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/33.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 34: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/34.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 35: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/35.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 36: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/36.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 37: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/37.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 38: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/38.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 39: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/39.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 40: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/40.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 41: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/41.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 42: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/42.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 43: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/43.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 44: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/44.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain
![Page 45: Chapter 4 Image Enhancement in the Frequency Domain](https://reader038.vdocuments.site/reader038/viewer/2022102517/568139aa550346895da145cd/html5/thumbnails/45.jpg)
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed.www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 4Image Enhancement in the
Frequency Domain
Chapter 4Image Enhancement in the
Frequency Domain