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Michael Dessauer and Sumeet Dua

matrix of second-order derivatives of L(x, y; t). For each scale t and location (x, y), we find:

H(x, y, t) =

 

Lxx(x, y, t)

Lxy(x, y, t)

 

(2.66)

Lxy(x, y, t)

Lyy(x, y, t) .

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

We then use these values to calculate the determinant of the Hessian using

det HL(x, y; t) = LxxLyy Lxy2 ,

(2.67)

which can then be searched using a nonmaximal suppression algorithm to find scale-space localized, rotationally invariant features.31 These locations in scale-space represents locations that have “corners,” or large gradients in both x and y directions.

Retinal mosaicing, using the above methods to find location and scale, extracts a feature vector of binned gradients from the 2D Haar wavelet responses that are then used to match images for registration (Fig. 2.28).32 Scale space provides a unique multi-level view of images, which exploit scale-specific features.

2.5. Summary

We have presented many of the most popular methods of retinal image preprocessing, segmentation/localization, and feature extraction for automated clinical decision support. Methods that are more complex have been introduced and can provide further guidance of how advanced methods, such as steerable filters,33 active contours,34 and neural networks,35 are constructed. A retinal image classification algorithm can be assessed and observed as a series of steps consisting of many of the methods described in this chapter. It is important for the researcher/scientist to attempt multiple methods at each stage in the algorithm to best assess how the method affects the overall performance of the algorithm. Although the ultimate goal of a fully automated decision support system for retinal pathology detection has not been fully realized, there continue to be great strides toward reaching this challenge through computational methods.

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Chapter 3

Computational Decision

Support Systems and Diagnostic

Tools in Ophthalmology:

A Schematic Survey

Sumeet Dua and Mohit Jain

Computer decision support systems are computer applications that can help clinicians make diagnostic decisions for patient treatment. Computer decision support systems provide easy access to patient file repositories. By accessing the data from the computational system, clinicians can decide whether to opt for surgery, therapy, or another form of treatment. Moreover, the system can alert clinicians to new patterns in patient data. Because of these benefits, a computer decision support system can save a clinician’s time and can be more effective than the clinician can in making treatment decisions. Designing a computational system is not easy because the software and hardware infrastructure requirements are complicated and may negatively affect the computer’s user friendliness. Additionally, training clinicians for this computational system can be costly. Despite these difficulties, the benefit and convenience that this system provides surpasses those offered by the old methods. This automatic and interactive system can help clinicians make better clinical decisions, which will help them to treat patients more effectively by helping clinicians avoid risks.

Department of Computer Science, College of Engineering and Science, Louisiana Tech University, Ruston, LA, U.S.A.

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