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Proceedings Paper

Optimization of orthonormal wavelet decomposition: implication of data accuracy, feature preservation, and compression effects
Author(s): Shih-Chung Benedict Lo; Huai Li; Yue Joseph Wang; Matthew T. Freedman M.D.; Seong Ki Mun
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Paper Abstract

A neural network based framework has been developed to search for an optimal wavelet kernel that is most suitable for a specific image processing task. In this paper, we demonstrate that only the low-pass filter, hu, is needed for orthonormal wavelet decomposition. A convolution neural network can be trained to obtain a wavelet that minimizes errors and maximizes compression efficiency for an image or a defined image pattern such as microcalcifications on mammograms. We have used this method to evaluate the performance of tap-4 orthonormal wavelets on mammograms, CTs, MRIs, and Lena image. We found that Daubechies' wavelet (or those wavelets possessing similar filtering characteristics) produces satisfactory compression efficiency with the smallest error using a global measure (e.g., mean- square-error). However, we found that Harr's wavelet produces the best results on sharp edges and low-noise smooth areas. We also found that a special wavelet, whose low-pass filter coefficients are (0.32252136, 0.85258927, 0.38458542, -0.14548269), can greatly preserve the microcalcification features such as signal-to-noise ratio during a course of compression. Several interesting wavelet filters (i.e., the g filters) were reviewed and explanations of the results are provided. We believe that this newly developed optimization method can be generalized to other image analysis applications where a wavelet decomposition is employed.

Paper Details

Date Published: 15 April 1996
PDF: 14 pages
Proc. SPIE 2707, Medical Imaging 1996: Image Display, (15 April 1996); doi: 10.1117/12.238448
Show Author Affiliations
Shih-Chung Benedict Lo, Georgetown Univ. Medical Ctr. (United States)
Huai Li, Georgetown Univ. Medical Ctr. (United States)
Yue Joseph Wang, Georgetown Medical Univ. (United States)
Matthew T. Freedman M.D., Georgetown Univ. Medical Ctr. (United States)
Seong Ki Mun, Georgetown Univ. Medical Ctr. (United States)

Published in SPIE Proceedings Vol. 2707:
Medical Imaging 1996: Image Display
Yongmin Kim, Editor(s)

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