Wavelet Analysis of Visualized Image

Abstract

This paper describes an example of image analysis by dyadic wavelet transform. Wavelet modulus maxima on transformed plane gives the Lipschitz exponent expression, which is useful to examine the characteristics of singularity of signal or the edge of an image. It is possible to reconstruct the original image only using the few maxima points. It means that the conventional image analysis would be performed on the transformed plane with maxima points. The fractal analysis is tried as an example of the approach The visualized image of oil flow on a ship model is analyzed.