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Otolith Shape Analysis using Wavelet Transfoms and Curvature Scale Space

Otolith Shape Analysis using Wavelet Transfoms and Curvature Scale Space. Vicenç Parisi Baradad, Joan Cabestany, Jaume Piera Emili Garcia-Ladona, Toni Lombarte. INTRODUCTION – Contour – Wavelet – CSS – Fourier – Matching. Introduction. Contour coding Wavelet Transform

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Otolith Shape Analysis using Wavelet Transfoms and Curvature Scale Space

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  1. Otolith Shape Analysisusing Wavelet TransfomsandCurvature Scale Space Vicenç Parisi Baradad, Joan Cabestany, Jaume Piera Emili Garcia-Ladona, Toni Lombarte

  2. INTRODUCTION – Contour – Wavelet – CSS – Fourier – Matching Introduction • 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. 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 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

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