Abstract
We propose a robust and fully automatic matched filter-based method for retinal vessel segmentation. Different from conventional filters in 2D image domains, we construct a new matched filter based on second-order Gaussian derivatives in so-called orientation scores, functions on the coupled space of position and orientations \(\mathbb {R}^2 \rtimes S^1\). We lift 2D images to 3D orientation scores by means of a wavelet-type transform using an anisotropic wavelet. In the domain \(\mathbb {R}^2 \rtimes S^1\), we set up rotation and translation invariant second-order Gaussian derivatives. By locally matching the multi-scale second order Gaussian derivative filters with data in orientation scores, we are able to enhance vessel-like structures located in different orientation planes accordingly. Both crossings and tiny vessels are well-preserved due to the proposed multi-scale and multi-orientation filtering method. The proposed method is validated on public databases DRIVE and STARE, and we show that the method is both fast and reliable. With respectively a sensitivity and specificity of 0.7744 and 0.9708 on DRIVE, and 0.7940 and 0.9707 on STARE, our method gives improved performance compared to state-of-the-art algorithms.
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Zhang, J., Bekkers, E., Abbasi, S., Dashtbozorg, B., ter Haar Romeny, B. (2015). Robust and Fast Vessel Segmentation via Gaussian Derivatives in Orientation Scores. In: Murino, V., Puppo, E. (eds) Image Analysis and Processing — ICIAP 2015. ICIAP 2015. Lecture Notes in Computer Science(), vol 9279. Springer, Cham. https://doi.org/10.1007/978-3-319-23231-7_48
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