1. Otolith Shape Analysis using Wavelet Transfoms and Curvature Scale Space
Vicenç Parisi Baradad, Joan Cabestany, Jaume Piera
Emili Garcia-Ladona, Toni Lombarte

2. INTRODUCTION – Contour – Wavelet – CSS – Fourier – Matching
Contour coding
Wavelet Transform
Curvature Scale Space representation
Fourier Transform
Data base retrieval

3. Introduction – CONTOUR – Wavelet – CSS – Fourier– Matching
Coordinates (x,y)

4. Introduction – CONTOUR – Wavelet – CSS – Fourier – Matching
Equiangle coordinates

5. Introduction – CONTOUR – Wavelet – CSS – Fourier – Matching
Chain code

6. Introduction – Contour – WAVELET – CSS – Fourier – Matching
Wavelet Transform

7. Introduction – Contour – WAVELET – CSS – Fourier – Matching

8. Introduction – Contour – WAVELET – CSS – Fourier – Matching
Mother wavelet: smoothing function second derivative

9. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Curvature Scale Space
Invariance to image translation, scale and rotation changes
Robust to shear
Good performance against high frequency noise

10. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Contour Smoothing

11. Curvature Inflection Points
Introduction – Contour – Wavelet – CSS – Fourier– Matching
Curvature Inflection Points

12. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Sampling Invariance
150 samples
512 samples
CSS normalized

13. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Noise inmunity
Low scales elimination increases noise inmunity

14. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Scaling invariance

15. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Rotation invariance
Rotation = Maxima translation

16. Introduction – Contour – Wavelet – CSS – Fourier– Matching
Shear "invariance"
Shear produces slight changes

17. Introduction – Contour – Wavelet – CSS – FOURIER – Matching
Fourier Transform
Integral covers whole contour
Singularities not located
Cosinus
Sinus

18. Data Base
107 otoliths
Wavelet
Fourier
CSS

19. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING
Wavelet Matching
Energy conservation
Wavelet distance
Zero Crossing distance

20. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

21. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

22. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

23. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

24. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING
CSS Matching
Image
Model

25. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING
Noise, Rotation and Shear

26. Introduction – Contour – Wavelet – CSS – Fourier– MATCHING

27. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING
Fourier Matching under Rotation

28. Introduction – Contour – Wavelet – CSS – Fourier – MATCHING
Fourier Matching under Shear

29. Introduction – Contour – Wavelet – CSS – Fourier– MATCHING
Fourier Matching under Noise

30. Introduction – Contour – Wavelet – CSS – Fourier – Matching
Conclusions
(Wavelet + chain code) and CSS robust under affine transformations and Shear
Wavelet and CSS locate Singularities
Wavelet + CSS allow database compression
Wavelet allows perfect contour reconstruction