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 Contour coding Wavelet Transform Curvature Scale Space representation Fourier Transform Data base retrieval

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

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

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

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

Introduction – Contour – WAVELET – CSS – Fourier – Matching

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

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

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

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

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

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

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

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

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

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

Data Base 107 otoliths Wavelet Fourier CSS

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

Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

Introduction – Contour – Wavelet – CSS – Fourier – MATCHING

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

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

Introduction – Contour – Wavelet – CSS – Fourier– MATCHING

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

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

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

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