University of São Paulo Institute of Mathematics and Statistics Department of Computer Science

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University of São Paulo Institute of Mathematics and Statistics Department of Computer Science Tracking Facial Features Using Gabor Wavelet Networks. Rogério Schmidt Feris Roberto Marcondes Cesar Junior {rferis,cesar}@ime.usp.br. Outline. Motivation Wavelet Transforms - PowerPoint PPT Presentation

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University of São Paulo

Institute of Mathematics and Statistics

Department of Computer Science

Tracking Facial Features Using Gabor Tracking Facial Features Using Gabor Wavelet NetworksWavelet Networks

Rogério Schmidt Feris

Roberto Marcondes Cesar Junior{rferis,cesar}@ime.usp.br

OutlineOutline

Motivation

Wavelet Transforms

Face Representation Using GWNs

Facial Feature Tracking

Experimental Results

Future Work

MotivationMotivation

Face Recognition from Video Sequences

Problem Assumptions

Wavelet TransformsWavelet Transforms

Continuous Wavelet Transform

Discrete Wavelet Transform

Wavelet Networks

f x w xi ni

i

~

( ) ( )

Face Representation Using GWNsFace Representation Using GWNs

)2()2

1exp()( xusinxxx TT

Mother Wavelet: Odd-Gabor Function

Face Representation Using GWNsFace Representation Using GWNs

cossin

sin-cos RRotation

ysDilation

0

0sS

x

y

x

c

cc nTranslatio

))(()( cxSRxn

},...,,{21 Mnnn

),,,,( yxyx ssccn

Face Representation Using GWNsFace Representation Using GWNs2

,)(min

i

niiwn

fwfEi

ii

Original Image Wavelet Representation

Wavelet parameters are chosen from the continuous parameters space !!

Face Representation Using GWNsFace Representation Using GWNs

Progressive Attention

Interest32, 52, 100 and 320 wavelets

Direct Calculation of Weights

Facial Feature TrackingFacial Feature Tracking

Repositioning

Facial Feature TrackingFacial Feature Tracking

Superwavelet

))(()( cxSRwxi

nin i

),,,,,( xyyxyx sssccn

y

xyx

s

ssS

0

Reparametrization

2min n

ngE

Facial Feature TrackingFacial Feature Tracking

Initialization

Repositioning in each Frame

Facial Feature Tracking

2min

tt

ntn

JE

Experimental ResultsExperimental Results

Efficiency and Robustness

http://www.ime.usp.br/~rferis

Future WorkFuture Work

Tracking Based on Wavelet Weights

Face Detection Using GWNs

3D Wavelet Model

http://www.ime.usp.br/~rferis

Questions ?Questions ?

rferis@ime.usp.br

Rogério Schmidt Feris

Experimental ResultsExperimental Results

http://www.ime.usp.br/~rferis

Efficiency and Robustness