Journal
COMPUTERS IN BIOLOGY AND MEDICINE
Volume 72, Issue -, Pages 120-131Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compbiomed.2016.03.008
Keywords
Curve skeleton; Medial axis transform (MAT); Vascular network; Computed tomography (CT); Tortuosity; Local thickness
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Funding
- EPSRC for the Manchester X-ray Imaging Facility [EP/F007906/1, EP/M010619/1, EP/F028431/1]
- Collaborative Computational Project on Tomographic Imaging, CCPi [EP/J010456/1]
- Zeiss XRM
- Engineering and Physical Sciences Research Council [EP/J010456/1, EP/F007906/1, EP/F028431/1, EP/J021229/1, EP/M010619/1] Funding Source: researchfish
- EPSRC [EP/F007906/1, EP/M010619/1, EP/F028431/1, EP/J021229/1, EP/J010456/1] Funding Source: UKRI
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Interconnected 3-D networks occur widely in biology and the geometry of such branched networks can be described by curve-skeletons, allowing parameters such as path lengths, path tortuosities and cross-sectional thicknesses to be quantified. However, curve-skeletons are typically sensitive to small scale surface features which may arise from noise in the imaging data. In this paper, new post-processing techniques for curve-skeletons are presented which ensure that measurements of lengths and thicknesses are less sensitive to these small scale surface features. The techniques achieve sub-voxel accuracy and are based on a minimal sphere-network representation in which the object is modelled as a string of minimally overlapping spheres, and as such samples the object on a scale related to the local thickness. A new measure of cross-sectional dimension termed the modal radius is defined and shown to be more robust in comparison with the standard measure (the internal radius), while retaining the desirable feature of capturing the size of structures in terms of a single measure. The techniques are demonstrated by application to trabecular bone and tumour vascular network case studies where the volumetric data was obtained by high resolution computed tomography. (C) 2016 The Authors. Published by Elsevier Ltd.
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