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Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...

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CHAPTER 2<br />

measurements of anterior <strong>and</strong> posterior radius of curvature using either fitting the best<br />

sphere, or horizontal <strong>and</strong> vertical apical radii, asphericity <strong>and</strong> astigmatism fitting a<br />

biconic surface (see Section 2.2.1). Raw elevation maps are also provided, which can<br />

be used for further quantitative analysis in Matlab, Mathworks (see Data analysis<br />

section). The technique had been used in previous studies (Rosales et al., 2006, de<br />

Castro et al., 2007, Rosales <strong>and</strong> Marcos, 2009) in the <strong>Visual</strong> <strong>Optics</strong> <strong>and</strong> Biophotonics<br />

Laboratory, <strong>and</strong> therefore many software routines were available to retrieve <strong>and</strong><br />

process the data obtained with this instrument. One of the major contributions of<br />

previous work is the development of optical <strong>and</strong> geometrical distortion correction<br />

algorithms for this system. A detailed description of the technique, calibrations <strong>and</strong><br />

corrections can be found in Patricia Rosales’s thesis (Rosales, 2008), <strong>and</strong> in (Rosales<br />

<strong>and</strong> Marcos, 2009).<br />

In Chapter 6 of this thesis the accuracy of the measurements of the back surface<br />

of the cornea, including the geometrical <strong>and</strong> optical distortion corrections, will be<br />

tested, by using a model cornea of known posterior surface. In Chapter 7 we applied<br />

this instrument (validated in Chapter 6) for the study of changes in the posterior<br />

cornea after refractive surgery.<br />

Fig. 2. 14. Pentacam Scheimpflug imaging system.<br />

2.2. SURFACE ELEVATION ANALYSIS TOOLS<br />

During this thesis, different tools for the analysis of the measured optical surfaces<br />

have been developed. In the following sections the different tools will be described,<br />

<strong>and</strong> their use illustrated with examples. The specific use of each tool will be described<br />

in the results chapters (Chapters 3 to 10).<br />

2.2.1. Fitting surfaces<br />

The optical surfaces of the eye (anterior <strong>and</strong> posterior surfaces of the cornea <strong>and</strong> the<br />

lens) are often described by surfaces whose profiles are conic sections.<br />

The general equation of a conic curve is<br />

x<br />

2<br />

2<br />

2Ry<br />

(1 Q)<br />

y<br />

(2.1)<br />

where R <strong>and</strong> Q are the apical radius <strong>and</strong> asphericity, respectively. Any conic is<br />

described in terms of these two parameters, the radius R representing the radius of the<br />

circumference that best fits a small region around the apex, <strong>and</strong> the asphericity Q<br />

72

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