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dc.contributor.author Johnson, Michael J. en
dc.contributor.author Johnson, Michael J. en
dc.date.accessioned 2007-08-06T21:24:04Z
dc.date.accessioned 2007-08-06T21:24:04Z
dc.date.available 2007-08-06T21:24:04Z
dc.date.available 2007-08-06T21:24:04Z
dc.date.issued 2007-07
dc.date.issued 2007-07
dc.identifier.citation Johnson, M. J. and Dougherty, G. "Robust measures of three-dimensional vascular tortuosity based on the minimum curvature of approximating polynomial spline fits to the vessel mid-line." Medical Engineering & Physics. (2007). v. 29 no. 6: 677-690. en
dc.identifier.citation Johnson, M. J. and Dougherty, G. "Robust measures of three-dimensional vascular tortuosity based on the minimum curvature of approximating polynomial spline fits to the vessel mid-line." Medical Engineering & Physics. (2007). v. 29 no. 6: 677-690. en
dc.identifier.issn 1350-4533
dc.identifier.issn 1350-4533
dc.identifier.uri http://hdl.handle.net/10139/419
dc.identifier.uri http://hdl.handle.net/10139/419
dc.description.abstract The clinical recognition of abnormal vascular tortuosity is important in the diagnosis of many diseases. This paper presents a novel approach to the quantification of vascular tortuosity, using robust metrics based on unit speed parameterizations of three-dimensional (3D) curvature. The use of approximating polynomial spline-fitting obviates the need for arbitrary filtering of mid-line data which is necessary with other tortuosity indices. The metrics were tested using both two-dimensional and three-dimensional synthesized images that mimicked clinically significant pathologies: two of the three metrics were scale invariant, additive, and produced tortuosity values tailored to be independent of the resolution of the imaging system. Our methodology is designed to explicitly handle the challenge of noisy data, and is largely tolerant of the inaccuracies in the mid-line extraction. While all the proposed metrics are sensitive to gently curved vessels, the rms curvature of the smoothest path was more effective in recognizing abnormalities involving high-frequency coiling such as occurs in malignant tumors. We have also indicated how values from two projection images, such as acquired in biplane angiography, can be combined to give an accurate approximation of the 3D value of this metric. Our proposed methodology is well-suited to automated detection and measurement, which are a prerequisite for clinical implementation. en
dc.description.abstract The clinical recognition of abnormal vascular tortuosity is important in the diagnosis of many diseases. This paper presents a novel approach to the quantification of vascular tortuosity, using robust metrics based on unit speed parameterizations of three-dimensional (3D) curvature. The use of approximating polynomial spline-fitting obviates the need for arbitrary filtering of mid-line data which is necessary with other tortuosity indices. The metrics were tested using both two-dimensional and three-dimensional synthesized images that mimicked clinically significant pathologies: two of the three metrics were scale invariant, additive, and produced tortuosity values tailored to be independent of the resolution of the imaging system. Our methodology is designed to explicitly handle the challenge of noisy data, and is largely tolerant of the inaccuracies in the mid-line extraction. While all the proposed metrics are sensitive to gently curved vessels, the rms curvature of the smoothest path was more effective in recognizing abnormalities involving high-frequency coiling such as occurs in malignant tumors. We have also indicated how values from two projection images, such as acquired in biplane angiography, can be combined to give an accurate approximation of the 3D value of this metric. Our proposed methodology is well-suited to automated detection and measurement, which are a prerequisite for clinical implementation. en
dc.language.iso en en
dc.language.iso en en
dc.publisher Elsevier en
dc.publisher Elsevier en
dc.subject Tortuosity en
dc.subject Blood vessels en
dc.subject Vessel mid-line en
dc.subject Spline fitting en
dc.subject Tortuosity en
dc.subject Blood vessels en
dc.subject Vessel mid-line en
dc.subject Spline fitting en
dc.title Robust measures of three-dimensional vascular tortuosity based on the minimum curvature of approximating polynomial spline fits to the vessel mid-line en
dc.title Robust measures of three-dimensional vascular tortuosity based on the minimum curvature of approximating polynomial spline fits to the vessel mid-line en
dc.type Postprint en
dc.type Postprint en
dc.contributor.csuciauthor Dougherty, Geoffrey en
dc.contributor.csuciauthor Dougherty, Geoffrey en


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