Retinal vessel segmentation using the 2-D Gabor wavelet and supervised classification

We present a method for automated segmentation of the vasculature in retinal images. The method produces segmentations by classifying each image pixel as vessel or nonvessel, based on the pixel's feature vector. Feature vectors are composed of the pixel's intensity and two-dimensional Gabor wavelet transform responses taken at multiple scales. The Gabor wavelet is capable of tuning to specific frequencies, thus allowing noise filtering and vessel enhancement in a single step. We use a Bayesian classifier with class-conditional probability density functions (likelihoods) described as Gaussian mixtures, yielding a fast classification, while being able to model complex decision surfaces. The probability distributions are estimated based on a training set of labeled pixels obtained from manual segmentations. The method's performance is evaluated on publicly available DRIVE (Staal et al.,2004) and STARE (Hoover et al.,2000) databases of manually labeled images. On the DRIVE database, it achieves an area under the receiver operating characteristic curve of 0.9614, being slightly superior than that presented by state-of-the-art approaches. We are making our implementation available as open source MATLAB scripts for researchers interested in implementation details, evaluation, or development of methods

[1]  Tai Sing Lee,et al.  Image Representation Using 2D Gabor Wavelets , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Liang Zhou,et al.  The detection and quantification of retinopathy using digital angiograms , 1994, IEEE Trans. Medical Imaging.

[3]  Herbert F. Jelinek,et al.  Comparison of various methods to delineate blood vessels in retinal images , 2005 .

[4]  Ying Sun,et al.  Back-propagation network and its configuration for blood vessel detection in angiograms , 1995, IEEE Trans. Neural Networks.

[5]  Rogério Schmidt Feris,et al.  Wavelet Subspace Method for Real-Time Face Tracking , 2001, DAGM-Symposium.

[6]  Paul Wintz,et al.  Digital image processing (2nd ed.) , 1987 .

[7]  Xiaoyi Jiang,et al.  Adaptive Local Thresholding by Verification-Based Multithreshold Probing with Application to Vessel Detection in Retinal Images , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  A. Grossmann,et al.  Wavelet Transforms and Edge Detection , 1988 .

[9]  Roberto Marcondes Cesar Junior,et al.  Retinal Vessel Segmentation Using the 2-D Morlet Wavelet and Supervised Classification , 2005, ArXiv.

[10]  Dimitri Van De Ville,et al.  Integrated wavelet processing and spatial statistical testing of fMRI data , 2004, NeuroImage.

[11]  Bin Fang,et al.  Reconstruction of vascular structures in retinal images , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[12]  Rangaraj M. Rangayyan,et al.  Performance Analysis of Oriented Feature Detectors , 2005, XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05).

[13]  Herbert F. Jelinek,et al.  USING THE 2-D MORLET WAVELET WITH SUPERVISED CLASSIFICATION FOR RETINAL VESSEL SEGMENTATION , 2005 .

[14]  H. Taylor,et al.  World blindness: a 21st century perspective , 2001, The British journal of ophthalmology.

[15]  Demetri Terzopoulos,et al.  T-snakes: Topology adaptive snakes , 2000, Medical Image Anal..

[16]  A.D. Hoover,et al.  Locating blood vessels in retinal images by piecewise threshold probing of a matched filter response , 2000, IEEE Transactions on Medical Imaging.

[17]  A. Arneodo,et al.  A wavelet-based method for multifractal image analysis. I. Methodology and test applications on isotropic and anisotropic random rough surfaces , 2000 .

[18]  Ronald Klein,et al.  Retinopathy and risk of congestive heart failure. , 2005, JAMA.

[19]  Marc Lalondey,et al.  Non-recursive paired tracking for vessel extraction from retinal images , 2000 .

[20]  M. Goldbaum,et al.  Detection of blood vessels in retinal images using two-dimensional matched filters. , 1989, IEEE transactions on medical imaging.

[21]  H. Taylor,et al.  Costs of mobile screening for diabetic retinopathy: a practical framework for rural populations. , 2001, The Australian journal of rural health.

[22]  Xiaohong W. Gao,et al.  A method of vessel tracking for vessel diameter measurement on retinal images , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[23]  Kevin W. Bowyer,et al.  Empirical evaluation techniques in computer vision , 1998 .

[24]  Hong Shen,et al.  Rapid automated tracing and feature extraction from retinal fundus images using direct exploratory algorithms , 1999, IEEE Transactions on Information Technology in Biomedicine.

[25]  Keith A. Soper,et al.  Diagnosis of diabetic eye disease. , 1982, JAMA.

[26]  J. Kanski Clinical Ophthalmology: A Systematic Approach , 1989 .

[27]  David Cornforth,et al.  Colour normalisation to reduce inter-patient and intra-patient variability in microaneurysm detection in colour retinal images , 2005 .

[28]  Herbert F. Jelinek,et al.  Segmentation of retinal fundus vasculature in nonmydriatic camera images using wavelets: Advanced Segmentation Techniques , 2003 .

[29]  Anthony J. Yezzi,et al.  Vessel Segmentation Using a Shape Driven Flow , 2004, MICCAI.

[30]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[31]  Bram van Ginneken,et al.  Comparative study of retinal vessel segmentation methods on a new publicly available database , 2004, SPIE Medical Imaging.

[32]  Anil A. Bharath,et al.  Retinal Blood Vessel Segmentation by Means of Scale-Space Analysis and Region Growing , 1999, MICCAI.

[33]  Jean-Pierre Antoine,et al.  Image analysis with two-dimensional continuous wavelet transform , 1993, Signal Process..

[34]  Yannis A. Tolias,et al.  A fuzzy vessel tracking algorithm for retinal images based on fuzzy clustering , 1998, IEEE Transactions on Medical Imaging.

[35]  Chia-Ling Tsai,et al.  Automated Model-Based Segmentation, Tracing, and Analysis of Retinal Vasculature from Digital Fundus Images , 2003 .

[36]  Jordi Vitrià,et al.  Tracking elongated structures using statistical snakes , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[37]  Roberto Marcondes Cesar Junior,et al.  Blood vessels segmentation in retina: preliminary assessment of the mathematical morphology and of the wavelet transform techniques , 2001, Proceedings XIV Brazilian Symposium on Computer Graphics and Image Processing.

[38]  Andrew Hunter,et al.  Measurement of retinal vessel widths from fundus images based on 2-D modeling , 2004, IEEE Transactions on Medical Imaging.

[39]  Luciano da Fontoura Costa,et al.  Shape Analysis and Classification: Theory and Practice , 2000 .

[40]  Frédéric Zana,et al.  Segmentation of vessel-like patterns using mathematical morphology and curvature evaluation , 2001, IEEE Trans. Image Process..

[41]  David G. Stork,et al.  Pattern Classification , 1973 .

[42]  B. S. Manjunath,et al.  Texture Features for Browsing and Retrieval of Image Data , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[43]  Shankar M. Krishnan,et al.  Detection and measurement of retinal vessels in fundus images using amplitude modified second-order Gaussian filter , 2002, IEEE Transactions on Biomedical Engineering.

[44]  C. Sinthanayothin,et al.  Automated localisation of the optic disc, fovea, and retinal blood vessels from digital colour fundus images , 1999, The British journal of ophthalmology.

[45]  A Hoover,et al.  Locating blood vessels in retinal images by piece-wise threshold probing of a matched filter response , 1998, AMIA.

[46]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[47]  Kaleem Siddiqi,et al.  Flux Maximizing Geometric Flows , 2001, ICCV.

[48]  O. Chutatape,et al.  Retinal blood vessel detection and tracking by matched Gaussian and Kalman filters , 1998, Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286).

[49]  H. Taylor,et al.  , Jr ) World blindness : a 21 st century perspective , 2001 .

[50]  Michael J. Cree,et al.  Microaneurysm Detection in Colour Fundus Images , 2003 .

[51]  Roberto Marcondes Cesar Junior,et al.  Blood vessels segmentation in nonmydriatic images using wavelets and statistical classifiers , 2003, 16th Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2003).

[52]  Max A. Viergever,et al.  Ridge-based vessel segmentation in color images of the retina , 2004, IEEE Transactions on Medical Imaging.

[53]  B. Ripley,et al.  Pattern Recognition , 1968, Nature.

[54]  Ying Sun,et al.  Recursive tracking of vascular networks in angiograms based on the detection-deletion scheme , 1993, IEEE Trans. Medical Imaging.