Cap5415 computer vision spring 2003
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CAP5415 Computer Vision Spring 2003. Khurram Hassan-Shafique. Image Filtering. Modifying the pixels in an image based on some function of a local neighborhood of the pixels. p. N(p). Linear Filtering. The output is the linear combination of the neighborhood pixels

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Cap5415 computer vision spring 2003

CAP5415 Computer VisionSpring 2003

Khurram Hassan-Shafique


Image filtering
Image Filtering

  • Modifying the pixels in an image based on some function of a local neighborhood of the pixels

p

N(p)


Linear filtering
Linear Filtering

  • The output is the linear combination of the neighborhood pixels

  • The coefficients of this linear combination combine to form the “filter-kernel”

=

Kernel

Filter Output

Image









Gaussian vs average
Gaussian Vs Average

Smoothing by Averaging

Gaussian Smoothing


Noise filtering
Noise Filtering

After Averaging

Gaussian Noise

After Gaussian Smoothing


Noise filtering1
Noise Filtering

After Averaging

Salt & Pepper Noise

After Gaussian Smoothing


Shift invariant linear systems
Shift Invariant Linear Systems

  • Superposition

  • Scaling

  • Shift Invariance



Cap5415 computer vision spring 2003

Here u & v are larger than the previous slide

Larger than the upper example


Cap5415 computer vision spring 2003

Cheetah Image

Fourier Magnitude (above)

Fourier Phase (below)


Cap5415 computer vision spring 2003

Zebra Image

Fourier Magnitude (above)

Fourier Phase (below)


Cap5415 computer vision spring 2003

Reconstruction with

Zebra phase,

Cheetah Magnitude


Cap5415 computer vision spring 2003

Reconstruction with

Cheetah phase,

Zebra Magnitude


Suggested reading
Suggested Reading

  • Chapter 7, David A. Forsyth and Jean Ponce, "Computer Vision: A Modern Approach"