hybrid neural- fuzzy analysis harvey cohen achan (software) [email protected]

23
Hybrid neural- fuzzy analysis Harvey Cohen Achan (Software) [email protected]

Upload: tirza

Post on 10-Jan-2016

34 views

Category:

Documents


0 download

DESCRIPTION

Hybrid neural- fuzzy analysis Harvey Cohen Achan (Software) [email protected]. 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 - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Hybrid neural- fuzzy analysis

Harvey Cohen

Achan (Software)[email protected]

Page 2: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.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

Page 3: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Fuzzy V Neural

Membership fns = a priori probability

Rules for combining

Predictions after defuzzification

NN with hidden layers

Trained on prototypes

Sigmoids

Outputs perhaps

fuzzy

Page 4: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

NN: Role of Sigmoid Fns

Page 5: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Binary 3x3 Prototypes

8 non-central locations 28 /2 = 128

Page 6: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Sobel Edge Detector

Assigns numeric value 0 -1 to each pixel in image

Usually thresholded at about 0.65

Natural “edgedness” membership fn

Page 7: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Bezdek et al

Neural-fuzzy edge detector

Train NN to give same values as Sobel for ALL (=128) binary prototypes

Good results

Page 8: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au
Page 9: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Harvey A Cohen

Page 10: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Achan (Software) Pty Ltd.

Page 11: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Bezdek Fuzzy- Neural Sobel

Page 12: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Cohen-McKinnon FuzzyNN Sobel

Page 13: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

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

Page 14: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

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

Page 15: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

One idea – in previous paper (DICTA NZ 1997) – score to

crisp values: speeds up computation greatly, yet has

similar output for fuzzy neural 3x3.

Page 16: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au
Page 17: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Train on small number of super quality artificial (=binary)

exemplars plus 1000

scored ‘natural’ examples

Page 18: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au
Page 19: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

5x5 exemplars for Plessy

Page 20: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au
Page 21: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au
Page 22: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Around Harvey

Page 23: Hybrid  neural- fuzzy analysis  Harvey Cohen Achan (Software) harveycohen@aanet.au

Eclipse over Africa

Frames from MeteoSat6, June 21, 2001