Characterizing non-Gaussian properties of breast images with a noisy-Laplacian distribution

Craig K. Abbey; Anita Nosratieh; Sheng Zhang; Miguel P. Eckstein; John M. Boone

doi:10.1117/12.878687

3 March 2011 Characterizing non-Gaussian properties of breast images with a noisy-Laplacian distribution

Craig K. Abbey, Anita Nosratieh, Sheng Zhang, Miguel P. Eckstein, John M. Boone

Proceedings Volume 7966, Medical Imaging 2011: Image Perception, Observer Performance, and Technology Assessment; 796611 (2011) https://doi.org/10.1117/12.878687
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

It is generally well known that the appearance of breast tissue in a mammogram is considerably more complex in a statistical sense than a simple random Gaussian texture, even when the correlation structure of the Gaussian has been set to match the power-law power spectrum of mammograms. However there has not been a systematic way to characterize the extent of departure from a Gaussian process. We address this topic here by proposing a noisy-Laplacian distribution to model response histograms derived from digital (or digitized) mammograms. We describe the distribution in terms of the probability density function and cumulative density function, as well as moments up to fourth order. We also demonstrate the usefulness of the new distribution by fitting it to responses from digital mammography.

Citation Download Citation

Craig K. Abbey, Anita Nosratieh, Sheng Zhang, Miguel P. Eckstein, and John M. Boone "Characterizing non-Gaussian properties of breast images with a noisy-Laplacian distribution", Proc. SPIE 7966, Medical Imaging 2011: Image Perception, Observer Performance, and Technology Assessment, 796611 (3 March 2011); https://doi.org/10.1117/12.878687

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