WAVELET TRANSFORM AND LIP MODEL

Authors

  • Guy Courbebaisse
  • Frederic Trunde
  • Michel Jourlin

DOI:

https://doi.org/10.5566/ias.v21.p121-125

Keywords:

logarithmic image processing, logarithmic wavelet transform, wavelet transform

Abstract

The Fourier transform is well suited to the study of stationary functions. Yet, it is superseded by the Wavelet transform for the powerful characterizations of function features such as singularities. On the other hand, the LIP (Logarithmic Image Processing) model is a mathematical framework developed by Jourlin and Pinoli, dedicated to the representation and processing of gray tones images called hereafter logarithmic images. This mathematically well defined model, comprising a Fourier Transform "of its own", provides an effective tool for the representation of images obtained by transmitted light, such as microscope images. This paper presents a Wavelet transform within the LIP framework, with preservation of the classical Wavelet Transform properties. We show that the fast computation algorithm due to Mallat can be easily used. An application is given for the detection of crests.

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Published

2011-05-03

Issue

Section

Original Research Paper

How to Cite

Courbebaisse, G., Trunde, F., & Jourlin, M. (2011). WAVELET TRANSFORM AND LIP MODEL. Image Analysis and Stereology, 21(2), 121-125. https://doi.org/10.5566/ias.v21.p121-125