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5  Optic disc and fovea detection  87























                  FIG. 4
                  Model of the general vessel gradient directions shown at intervals across the image.
                  Best fit parabola is superimposed on the image.

                  x OD  and y OD  to accurately represent the meeting of the parabolas as a point on the OD.
                  To choose model parameters, minimization was done using the weighted residual
                  sum of squares using simulated annealing optimization procedure. This is performed
                  multiple times to make sure the minimization does not fall into a local minimum, but
                  find the global minima as the detected OD. Fig. 4 shows an example of the gradient
                  information extracted from the vasculature and the best fit parabolic model overlaid
                  on the image.
                     This method was tested on STARE dataset. 81 images full of pathology and vary-
                  ing levels of image quality. Two different techniques to extract the vascular infor-
                  mation were tested and able to detect the OD in 79 each time (failed images were
                  different for each method). They also showed on non-STARE images that if enough
                  vasculature is present, the model is able to localize an OD that is not present in the
                  image.

                  5.4  Fast localization and segmentation of the optic disc in retinal
                  images using directional matched filtering and level sets
                  (Yu et al., 2012 [22])

                  This method was chosen to highlight that algorithm speed and accuracy do not need
                  to be a trade-off. At publication, this was one of the fastest and most accurate meth-
                  ods on the Messidor database. This method performs a two-step process to detect
                  the optic disc and fits into three of the previously stated subcategories (OD as the
                  brightest region, template matching, vessel convergence). The first step is to create a
                  bright template that mimics the appearance of the OD. The OD is bright and circular
                  in appearance with darker vessel running vertically through the OD center or pushed
                  slightly to the nasal side. Using these features, several different templates were cre-
                  ated, including a binary bright circle on a black background, the same circle with a
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