Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...
Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...
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 />
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