Abstract
In this paper, we aim at proving the effectiveness of dictionary learning techniques on the task of retinal blood vessel segmentation. We present three different methods based on dictionary learning and sparse coding that reach state-of-the-art results. Our methods are tested on two, well-known, publicly available datasets: DRIVE and STARE. The methods are compared to many state-of-the-art approaches and turn out to be very promising.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
The \(\ell _q\)-norm (\(q \ge 1\)) of a vector \(\mathbf {x}\) is: \(\Vert \mathbf {x}\Vert _q = [ \sum _i \mid x[i]\mid ^q ]^{1/q}\).
- 2.
The Frobenius-norm of a matrix \(\mathbf {A} \in \mathbb {R}^{m\times n}\) is: \(\Vert \mathbf {A}\Vert _F = \big [\sum _{i=1}^{m} \sum _{j=1}^{n} A[i,j]^2\big ]^{1/2}\).
- 3.
References
Fraz, M., Remagnino, P., Hoppe, A., Uyyanonvara, B., Rudnicka, A., Owen, C., Barman, S.: Blood vessel segmentation methodologies in retinal images - a survey. Comput. Methods Programs Biomed. 108(1), 407–433 (2012)
Mookiah, M.R.K., Acharya, U.R., Chua, C.K., Lim, C.M., Ng, E.Y.K., Laude, A.: Computer-aided diagnosis of diabetic retinopathy: a review. Comp. Bio. and Med. 43(12), 2136–2155 (2013)
Vega, R., Sánchez-Ante, G., Falcón-Morales, L., Sossa, H., Guevara, E.: Retinal vessel extraction using lattice neural networks with dendritic processing. Comp. Bio. and Med. 58, 20–30 (2015)
Javidi, M., Pourreza, H.R., Harati, A.: Vessel segmentation and microaneurysm detection using discriminative dictionary learning and sparse representation. Comput. Methods Programs Biomed. 139, 93–108 (2017)
Wang, S., Yin, Y., Cao, G., Wei, B., Zheng, Y., Yang, G.: Hierarchical retinal blood vessel segmentation based on feature and ensemble learning. Neurocomputing 149, 708–717 (2015)
Liskowski, P., Krawiec, K.: Segmenting retinal blood vessels with deep neural networks. IEEE Trans. Med. Imaging 35(11), 2369–2380 (2016)
Mairal, J., Bach, F., Ponce, J.: Sparse modeling for image and vision processing. Found. Trends Comput. Graph. Vision 8(2–3), 85–283 (2014)
Elad, M.: Sparse and Redundant Representation. Springer, New York, Dordrecht, Heidelberg, London (2010)
Zhang, Q., Li, B.: Discriminative K-SVD for dictionary learning in face recognition. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2691–2698 (2010)
Yang, A.Y., Wright, J., Ma, Y., Sastry, S.S.: Feature selection in face recognition: a sparse representation perspective. Technical Report UCB/EECS-2007-99, EECS Department, University of California, Berkeley (2007)
Nikolova, M.: A variational approach to remove outliers and impulse noise. J. Mathe. Imaging Vision 20(1–2), 99–120 (2004)
Staal, J., Abrmoff, M.D., Niemeijer, M., Viergever, M.A., Ginneken, B.V.: Ridge-based vessel segmentation in color images of the retina. IEEE Trans. Med. Imaging 23, 501–509 (2004)
Hoover, A., Kouznetsova, V., Goldbaum, M.: Locating blood vessels in retinal images by piecewise threshold probing of a matched filter response. IEEE Trans. Med. Imaging 19, 203–210 (2000)
Mairal, J., Bach, F., Ponce, J., Sapiro, G.: Online learning for matrix factorization and sparse coding. J. Mach. Learn. Res. 11, 19–60 (2010)
Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Mathe. Imaging Vision 40(1), 120–145 (2011)
Singh, N.P., Srivastava, R.: Retinal blood vessels segmentation by using Gumbel probability distribution function based matched filter. Comput. Methods Programs Biomed. 129, 40–50 (2016)
Orlando, J.I., Prokofyeva, E., Blaschko, M.B.: A discriminatively trained fully connected conditional random field model for blood vessel segmentation in fundus images. IEEE Trans. Biomed. Eng. 64(1), 16–27 (2017)
Dasgupta, A., Singh, S.: A fully convolutional neural network based structured prediction approach towards the retinal vessel segmentation. In: IEEE International Symposium on Biomedical Imaging (ISBI), pp. 248–251 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Birgui Sekou, T., Hidane, M., Olivier, J., Cardot, H. (2017). Segmentation of Retinal Blood Vessels Using Dictionary Learning Techniques. In: Cardoso, M., et al. Fetal, Infant and Ophthalmic Medical Image Analysis. OMIA FIFI 2017 2017. Lecture Notes in Computer Science(), vol 10554. Springer, Cham. https://doi.org/10.1007/978-3-319-67561-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-67561-9_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67560-2
Online ISBN: 978-3-319-67561-9
eBook Packages: Computer ScienceComputer Science (R0)