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Proceedings Paper

2-D wavelet with position controlled resolution
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Paper Abstract

Wavelet transformation localizes all irregularities in the scene. It is most effective in the case when intensities in the scene have no sharp details. It is the case often present in a medical imaging. To identify the shape one has to extract it from the scene as typical irregularity. When the scene does not contain sharp changes then common differential filters are not efficient tool for a shape extraction. The new 2-D wavelet for such task has been proposed. Described wavelet transform is axially symmetric and has varied scale in dependence on the distance from the centre of the wavelet symmetry. The analytical form of the wavelet has been presented as well as its application for details extraction in the scene. Most important feature of the wavelet transform is that it gives a multi-scale transformation, and if zoom is on the wavelet selectivity varies proportionally to the zoom step. As a result, the extracted shape does not change during zoom operation. What is more the wavelet selectivity can be fit to the local intensity gradient properly to obtain best extraction of the irregularities.

Paper Details

Date Published: 23 September 2005
PDF: 10 pages
Proc. SPIE 5959, Medical Imaging, 59590S (23 September 2005); doi: 10.1117/12.622783
Show Author Affiliations
Andrzej Walczak, Institute of Applied Physics MUT (Poland)
Leszek Puzio, Univ. of Information Technology and Management (Poland)

Published in SPIE Proceedings Vol. 5959:
Medical Imaging
Andrzej Kowalczyk; Adolf F. Fercher; Valery V. Tuchin, Editor(s)

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