EPFL | Biomedical Imaging Group | Multiscale Orientations

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

D. Van De Ville, D. Sage, K. Balać, M. Unser

Proceedings of the Sixteenth European Signal Processing Conference (EUSIPCO'08), Lausanne VD, Swiss Confederation, August 25-29, 2008.

The “Marr wavelet pyramid” is a wavelet decomposition that implements a multiscale version of the complex gradient-Laplace operator. It is closely linked to a multiresolution analysis of L₂(ℝ²) and it has a fast filterbank implementation. We show how the Marr wavelets, which are essentially steerable, can be used to extract a multiscale version of the structure tensor. This yields a multiscale characterization of an image in terms of various features such as local gradient energy, orientation, and coherency.

We provide an implementation of the proposed system as a Java plug-in for ImageJ, and we illustrate its applicability to directional image analysis which is useful in domains such as biological imaging and material science.

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