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Integral geometry descriptors for characterizing emphysema and lung fibrosis in HRCT images

Integral geometry descriptprs are used to characterize local textural properties of lung parenchyma from HRCT images. These qualities, known as Minkowski functionals, describe the morphology and topology (connectivity) of 2D and 3D binary structures. They have been shown to be effective in describing properties of complex and disordered media, such as open foams. In this paper we describe the Minkowski functionals and propose their use for detecting and grading emphysema and fibrosis in HRCT images. We show which relevant combinations of the four quantities correlate well with three degrees of severity of emphysema and states of fibrosis. We present some illustrative results and make proposals for the use of these descriptors in a larger validation study.