Use of the wavelet transform to investigate differences in brain PET images between patient groups

Urs E. Ruttimann; Michael A. Unser; Daniel E. Rio; Robert R. Rawlings

doi:10.1117/12.146601

23 June 1993 Use of the wavelet transform to investigate differences in brain PET images between patient groups

Urs E. Ruttimann, Michael A. Unser, Daniel E. Rio, Robert R. Rawlings

Author Affiliations +

Proceedings Volume 2035, Mathematical Methods in Medical Imaging II; (1993) https://doi.org/10.1117/12.146601
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Suitability of the wavelet transform was studied for the analysis of glucose utilization differences between subject groups as displayed in PET images. To strengthen statistical inference, it was of particular interest investigating the tradeoff between signal localization and image decomposition into uncorrelated components. This tradeoff is shown to be controlled by wavelet regularity, with the optimal compromise attained by third-order orthogonal spline wavelets. Testing of the ensuing wavelet coefficients identified only about 1.5% as statistically different (p < .05) from noise, which then served to resynthesize the difference images by the inverse wavelet transform. The resulting images displayed relatively uniform, noise-free regions of significant differences with, due to the good localization maintained by the wavelets, very little reconstruction artifacts.

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Urs E. Ruttimann, Michael A. Unser, Daniel E. Rio, and Robert R. Rawlings "Use of the wavelet transform to investigate differences in brain PET images between patient groups", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); https://doi.org/10.1117/12.146601

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