Proceedings of the Ophthalmic Medical Image Analysis Second International Workshop 2015
DOI: 10.17077/omia.1034
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Curvature Based Biomarkers for Diabetic Retinopathy via Exponential Curve Fits in SE(2)

Abstract: Abstract. We propose a robust and fully automatic method for the analysis of vessel tortuosity. Our method does not rely on pre-segmentation of vessels, but instead acts directly on retinal image data. The method is based on theory of best-fit exponential curves in the roto-translation group SE(2). We lift 2D images to 3D functions called orientation scores by including an orientation dimension in the domain. In the extended domain of positions and orientations (identified with SE(2)) we study exponential curv… Show more

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Cited by 26 publications
(32 citation statements)
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“…Right Orientation score model with orientation on the vertical axis, and cortical columns with horizontal contextual (association field) connections. From [66] local vessel curvature analysis [11], and enhancement methods [31,66] …”
Section: Multi-orientation Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Right Orientation score model with orientation on the vertical axis, and cortical columns with horizontal contextual (association field) connections. From [66] local vessel curvature analysis [11], and enhancement methods [31,66] …”
Section: Multi-orientation Analysismentioning
confidence: 99%
“…Most methods require pre-segmentation and center line extraction, but our brain-inspired orientation score method [11] works directly on the image data by fitting so-called exponential curves in the orientation score. An exponential curve is a curve whose spatial projection has a constant curvature (Fig.…”
Section: Curvature/tortuositymentioning
confidence: 99%
“…By finding the vascular skeleton, splitting the skeleton at junction positions, fitting a curve to each segment and parameterization of these curves, the local curvatures of these segments are obtained. To avoid propagation of errors in each step of such pipelines, a new alternative local curvature extraction method was proposed in [3]. The method relies on the theory of exponential curve fits in orientation scores [7].…”
Section: Curvature Measurementmentioning
confidence: 99%
“…Retinal vascular tortuosity is measured by a novel robust and fully automatic quantitative method developed by E. Bekkers et al [14]. This brain-inspired method is based on the theory of best-fit exponential curves in the roto-translation group SE (2) developed by Duits, Franken and Janssen [15]- [17], and, importantly, does not rely on explicit segmentation of the blood vessels.…”
Section: Measurement Of Retinal Vascular Tortuositymentioning
confidence: 99%