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Surfaces of organs in discrete three-dimensional space. (English) Zbl 0541.92006

Mathematical aspects of computerized tomography, Proc., Oberwolfach 1980, Lect. Notes Med. Inf. 8, 204-224 (1981).
Summary: [For the entire collection see Zbl 0538.00034.]
Computerized tomography provides representations of the human body by assigning values (CT numbers) to volume elements (voxels) which are abutting parallelepipeds filling a portion of three-dimensional space. Organs can be distinguished from their immediate surrounding if the CT numbers of voxels just inside the organ are different from those of adjacent voxels just outside the organ. The boundary between the organ and its surrounding is then representable by a set of faces separating pairs of voxels.
In this paper we give a set of topological definitions for organ surfaces and associated concepts. We also prove some results which allow us to detect organ surfaces in multilayered computerized tomograms in a computationally efficient way.

MSC:

92C50 Medical applications (general)
51M20 Polyhedra and polytopes; regular figures, division of spaces
57M15 Relations of low-dimensional topology with graph theory
68U99 Computing methodologies and applications

Citations:

Zbl 0538.00034