ABiLiTieS Fourier Descriptors Analysis Team

Fourier descriptorsFourier descriptors

Ahmad Alkhodre & Mostefa BelarbiInsa Lyon

Georg Langs & Srdan Tosovic

Vienna University

Nicolas Sicard Pavia University

ABiLiTieS Fourier Descriptors Analysis Team

Contents IntroductionFourier descriptorsClassification Occlusion problem

First approaches Final reslts

Conclusion

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Introduction

Using shapes Advantages Drawbacks

?

Image classificationDifferent means

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Fourier descriptors

original picture borderdecomposed toreal + imaginary part

Fourier coefficients Fourier descriptors

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Elliptic Fourier descriptors

Defining a curve in the complex plane

c(t)=x(t)+j y(t)t = arc length

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Fourier decomposition

...

=

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Fourier decomposition?

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Invariance (Rotation)

2y1

2x1

2yk

2xk

2y1

2x1

2yk

2xk

kbb

bb

aa

aaD

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Fourier decomposition(of Nicolas)

Processing

Processing

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Invariance (congruent)work in progresswork in progress

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Invariance (Rotation)work in progresswork in progress

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Reconstruction

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Classificationwork in progresswork in progress

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Occlusion problem work in progresswork in progress

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Conclusion