Bounds of a band pass filter for image processing

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SUMMARY

This discussion centers on the application of band pass filters in image processing for noise reduction and frequency domain transformation. The participant, Jeff, seeks clarity on determining the cutoff frequencies and the rate of cutoff growth for effective filtering. It is established that low-pass filters are typically more effective for noise reduction, as most noise is high frequency while the signal is low frequency. The conversation highlights the importance of understanding pixel frequency changes in assessing filter bounds.

PREREQUISITES
  • Understanding of frequency domain transformation in image processing
  • Knowledge of band pass and low-pass filter concepts
  • Familiarity with pixel frequency analysis
  • Basic programming skills for implementing filtering algorithms
NEXT STEPS
  • Research the mathematical foundations of band pass filter design
  • Learn about low-pass filter implementation techniques in image processing
  • Explore advanced topics in frequency domain analysis for images
  • Investigate resources on noise reduction strategies in digital images
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This discussion is beneficial for image processing researchers, computer vision engineers, and anyone involved in noise reduction techniques in digital imaging.

jsr9119
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Hi all,

I'm working on some image analysis as a part of my research, specifically trying to match images. The method I am using transforms the image into the frequency domain and then applies a band pass (or mesa) filter to eliminate noise and the dc component of the image.

I have never done this kind of work before so maybe I am on the wrong track, but for the filter, I don't understand how the bounds of the filter should be assessed, i.e where the cutoff frequencies should be or how fast the cutoff should grow. I've basically been running for-loops to check all the different values, but my gut is telling me there should be a way to calculate these values. Am I wrong? Any insight is greatly appreciated.

Thank you,

Jeff
 
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There frequency for an image filter refers to the frequency of change of pixels as a function of x and y. Something that is minimum frequency (~0) will be when a pixel level is constant across the entire axis. The maximum frequency (~1/N) will be when pixels alternate.

If your noise is pixel-by-pixel (and if your image doesn't change that fast, then that would be where you've put your cut-off frequency (between the two). Generally you'll probably use a low-pass filter rather than a band-pass filter (most noise is high frequency while most signal is low frequency - though there is no hard-and-fast rule about that).
 
That's very helpful, thank you. Do you know of any good books or articles that would go further in depth?
 

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