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84     CHAPTER 5  Automatic landmark detection in fundus photography



























                         FIG. 2
                         (Left) Retinal image cropped and resized. (Right) Variance image used in the voting
                         process to detect the optic disc. Mean variance calculated in 81 × 81 neighborhood,
                         roughly the size of the optic disc in the image.


                         the size of the OD. A variance image is shown in Fig. 2, with the maximum being in
                         and around the OD.
                            Skipping ahead, the method for detecting the fovea is based on template matching
                         and distance from the OD. The assumption is that the fovea is the darkest region of
                         the image and can be modeled by a Gaussian function:


                                                                    y 
                                                              −( x + )
                                                                     2
                                                                  2
                                                          1
                                               (
                                              gx y) =128 1 − exp                        (1)
                                                ,
                                                         2      2σ 2  
                                                                      
                            The template used in this paper was 40 × 40 pixels with a standard deviation of 22
                         pixels. This template was correlated throughout the retinal image, and the pixel with
                         the maximum correlation value becomes the fovea candidate. For this candidate to
                         be accepted, the correlation coefficient had to be greater than 0.5 and be the proper
                         distance 2.5 disc-diameters) away from the found center of the OD.
                            This paper predates the standard databases used to benchmark retinal land-
                         mark algorithms. They used a set of 112 images from a Topcon TRC-NW5S,
                         570 × 550 pixels at a 40° field of view. The OD detection algorithm was able to
                         detect the OD correctly in all but one image. The fovea detection algorithm not
                         only had to detect the correct position, but also determine if the fovea was present
                         in the image. For these tasks, the algorithm had a sensitivity and specificity of
                         80.4% and 99.1%.
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