Digital Topology and Geometry in Medical Imaging: A Survey

Punam K Saha; Robin Strand; Gunilla Borgefors

doi:10.1109/TMI.2015.2417112

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Digital Topology and Geometry in Medical Imaging: A Survey

Journal article

Peer reviewed

Digital Topology and Geometry in Medical Imaging: A Survey

Punam K Saha, Robin Strand and Gunilla Borgefors

IEEE transactions on medical imaging, Vol.34(9), pp.1940-1964

09/2015

DOI: 10.1109/TMI.2015.2417112

PMID: 25879908

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Abstract

Digital topology and geometry refers to the use of topologic and geometric properties and features for images defined in digital grids. Such methods have been widely used in many medical imaging applications, including image segmentation, visualization, manipulation, interpolation, registration, surface-tracking, object representation, correction, quantitative morphometry etc. Digital topology and geometry play important roles in medical imaging research by enriching the scope of target outcomes and by adding strong theoretical foundations with enhanced stability, fidelity, and efficiency. This paper presents a comprehensive yet compact survey on results, principles, and insights of methods related to digital topology and geometry with strong emphasis on understanding their roles in various medical imaging applications. Specifically, this paper reviews methods related to distance analysis and path propagation, connectivity, surface-tracking, image segmentation, boundary and centerline detection, topology preservation and local topological properties, skeletonization, and object representation, correction, and quantitative morphometry. A common thread among the topics reviewed in this paper is that their theory and algorithms use the principle of digital path connectivity, path propagation, and neighborhood analysis.

Digital images

Transforms

distance transform

local topology

Topology

connectivity and tracking

Geometry

Interpolation

digital topology and geometry

minimal path

Connected operators

watersheds

skeletonization

Cavity resonators

simple point

object characterization

Biomedical imaging

Details

Title: Subtitle: Digital Topology and Geometry in Medical Imaging: A Survey
Creators: Punam K Saha - Depts. of Electr. & Comput. Eng. & Radiol., Univ. of Iowa, Iowa City, IA, USA
Robin Strand - Centre for Image Anal., Uppsala Univ., Uppsala, Sweden
Gunilla Borgefors - Centre for Image Anal., Uppsala Univ., Uppsala, Sweden
Resource Type: Journal article
Publication Details: IEEE transactions on medical imaging, Vol.34(9), pp.1940-1964
DOI: 10.1109/TMI.2015.2417112
PMID: 25879908
NLM abbreviation: IEEE Trans Med Imaging
ISSN: 0278-0062
eISSN: 1558-254X
Publisher: Institute of Electrical and Electronics Engineers
Language: English
Date published: 09/2015
Academic Unit: Radiology; Electrical and Computer Engineering
Record Identifier: 9984051871202771

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