1999
DOI: 10.1109/42.811279
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Model-based quantitation of 3-D magnetic resonance angiographic images

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Cited by 338 publications
(308 citation statements)
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“…When representing images as gray-level landscapes, such structures manifest themselves as ridges. It is known (15)(16)(17)(18) that ridge-like image structures are well detected by means of second-order differential operators. Specifically, the local principal ridge directions at any point in an image are given by the eigenvectors of the second-derivative matrix computed from the intensity values around that point.…”
Section: Materials and Methods Tracing Techniquementioning
confidence: 99%
“…When representing images as gray-level landscapes, such structures manifest themselves as ridges. It is known (15)(16)(17)(18) that ridge-like image structures are well detected by means of second-order differential operators. Specifically, the local principal ridge directions at any point in an image are given by the eigenvectors of the second-derivative matrix computed from the intensity values around that point.…”
Section: Materials and Methods Tracing Techniquementioning
confidence: 99%
“…Some of the approaches aim at coronary tree analysis [5][6][7], late enhancement detection [8,9], and analysis of time intensity curves [10,11]. These methods use low-level information from the data without incorporating prior knowledge.…”
Section: Introductionmentioning
confidence: 99%
“…Let the eigenvalues of ∇ 2 f (x; σ) be λ 1 , λ 2 , λ 3 (λ 1 ≥ λ 2 ≥ λ 3 ) and their corresponding eigenvectors be e 1 , e 2 , e 3 (|e 1 | = |e 2 | = |e 3 | = 1), respectively. e 1 is expected to give the tangential direction of the line and the line filter response is obtained as the combination of λ 2 and λ 3 [9], directional second derivatives orthogonal to e 1 .…”
Section: Extracting a Sequence Of Multiscale Line Filter Responses Onmentioning
confidence: 99%
“…A typical method is to extract medial axes of the structures and then quantitate the width of the contour of cross-section orthogonal to the axis [1], [2], [3]. The diameters of small-diameter structures are known to be overestimated when they are measured based on the cross-sectional contours [3].…”
Section: Introductionmentioning
confidence: 99%