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Gradient-Based Enhancement of Tubular Structures in Medical Images
Linköping University, Department of Medical and Health Sciences, Division of Radiological Sciences. Linköping University, Faculty of Medicine and Health Sciences. Linköping University, Center for Medical Image Science and Visualization (CMIV). KTH Royal Institute of Technology.ORCID iD: 0000-0001-5765-2964
Linköping University, Department of Medical and Health Sciences, Division of Radiological Sciences. Linköping University, Center for Medical Image Science and Visualization (CMIV). Östergötlands Läns Landsting, Center for Diagnostics, Department of Radiology in Linköping. Linköping University, Faculty of Medicine and Health Sciences. KTH Royal Institute of Technology.ORCID iD: 0000-0002-7750-1917
2015 (English)In: Medical Image Analysis, ISSN 1361-8415, E-ISSN 1361-8423, Vol. 26, no 1, 19-29 p.Article in journal (Refereed) Published
Abstract [en]

Vesselness filters aim at enhancing tubular structures in medical images. The most popular vesselness filters are based on eigenanalyses of the Hessian matrix computed at different scales. However, Hessian-based methods have well-known limitations, most of them related to the use of second order derivatives. In this paper, we propose an alternative strategy in which ring-like patterns are sought in the local orientation distribution of the gradient. The method takes advantage of symmetry properties of ring-like patterns in the spherical harmonics domain. For bright vessels, gradients not pointing towards the center are filtered out from every local neighborhood in a first step. The opposite criterion is used for dark vessels. Afterwards, structuredness, evenness and uniformness measurements are computed from the power spectrum in spherical harmonics of both the original and the half-zeroed orientation distribution of the gradient. Finally, the features are combined into a single vesselness measurement. Alternatively, a structure tensor that is suitable for vesselness can be estimated before the analysis in spherical harmonics. The two proposed methods are called Ring Pattern Detector (RPD) and Filtered Structure Tensor (FST) respectively. Experimental results with computed tomography angiography data show that the proposed filters perform better compared to the state-of-the-art.

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 26, no 1, 19-29 p.
Keyword [en]
Vesselness, Structure Tensor, Spherical Harmonics
National Category
Medical Image Processing
Identifiers
URN: urn:nbn:se:liu:diva-120389DOI: 10.1016/j.media.2015.07.001ISI: 000367490800002OAI: oai:DiVA.org:liu-120389DiVA: diva2:844173
Funder
Swedish Research Council, 2014-6153Swedish Research Council, 2012-3512Swedish Heart Lung Foundation, 2011-0376
Available from: 2015-08-04 Created: 2015-08-04 Last updated: 2017-12-04Bibliographically approved

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Moreno, RodrigoSmedby, Örjan

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Division of Radiological SciencesFaculty of Medicine and Health SciencesCenter for Medical Image Science and Visualization (CMIV)Department of Radiology in Linköping
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