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Image Texture and Fourier Analysis in a Polar Spatial Frequency System: methods illustration

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posted on 2020-12-23, 05:03 authored by John HeineJohn Heine, Steven Eschrich, Erin Fowler
Abstract
We illustrate the connection between image-texture and defined regions in a polar spatial frequency coordinate system. This is provided within the context of describing a non-parametric method for characterizing two-dimensional
spectra of gray scaled images, described in part previously. The spectrum is divided into concentric radial bands of fixed bandwidth. Each band is summarized, producing a set of measures characterizing the image as a function of radial spatial frequency. This set of measures has a parallel multiscale description as texture in the image domain. This approach was modified to capture texture with directional attributes. This is a data reduction technique that gives a full accounting of the image variance as function of image texture and direction indexed to regions in the polar frequency plane. Application examples include analyzing the summarized spectrum graphically, making inter/intra image spectral comparisons, and evaluating spectral models. Simulated noise images, an image of peppers, and a gray scale image with well-defined linear structure were used to illustrate the principles.

Funding

Automated Quantitative Measures of Breast Density

National Cancer Institute

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Automated Density Measures for Estimating Breast Cancer Risk and Therapy Response

National Cancer Institute

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Moffitt Imaging Biomarker VAlidation Center

National Cancer Institute

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History

Email Address of Submitting Author

John.Heine@moffitt.org

ORCID of Submitting Author

0000-0003-1967-0701

Submitting Author's Institution

H. Lee Moffitt Cancer Center & Research Institute

Submitting Author's Country

  • United States of America