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Hybrid neural- fuzzy analysis Harvey Cohen Achan (Software) harveycohen@aanet.au

Hybrid neural- fuzzy analysis Harvey Cohen Achan (Software) harveycohen@aanet.com.au. A case study based on edge detection in image processing. continued. What is fuzzy-neural PR ? Approach of Bezdek How to go beyond Thoughts for future. Membership fns = a priori probability

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Hybrid neural- fuzzy analysis Harvey Cohen Achan (Software) harveycohen@aanet.au

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  1. Hybrid neural- fuzzy analysis Harvey CohenAchan (Software)harveycohen@aanet.com.au

  2. A case study based on edge detection in image processing.continued • What is fuzzy-neural PR ? • Approach of Bezdek • How to go beyond • Thoughts for future

  3. Membership fns = a priori probability Rules for combining Predictions after defuzzification NN with hidden layers Trained on prototypes Sigmoids Outputs perhaps fuzzy Fuzzy V Neural

  4. NN: Role of Sigmoid Fns

  5. Binary 3x3 Prototypes 8 non-central locations 28 /2 = 128

  6. Sobel Edge Detector Assigns numeric value 0 -1 to each pixel in image • Usually thresholded at about 0.65 • Natural “edgedness” membership fn

  7. Bezdek et al • Neural-fuzzy edge detector • Train NN to give same values as Sobel for ALL (=128) binary prototypes • Good results

  8. Harvey A Cohen

  9. Achan (Software) Pty Ltd.

  10. Bezdek Fuzzy- Neural Sobel

  11. Cohen-McKinnon FuzzyNN Sobel

  12. 512 (!) 3x3 binary exemplars NN trained 2 min f0r Sobel 225 5x5 binary exemplars NN training will take 45 days  no possible application to large scale features as in biology

  13. But worse – have assumed N linearity – On 3x3 Sobel scores have only 4 values, but larger scale operators have many values in range 0 ..1

  14. One idea – in previous paper (DICTA NZ 1997) – score to crisp values: speeds up computation greatly, yet has similar output for fuzzy neural 3x3.

  15. Train on small number of super quality artificial (=binary) exemplars plus 1000scored ‘natural’ examples

  16. 5x5 exemplars for Plessy

  17. Around Harvey

  18. Eclipse over Africa Frames from MeteoSat6, June 21, 2001

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