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Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...

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CHAPTER 7<br />

We compared the changes in patients that underwent refractive surgery (Fig. 7.4<br />

(A-F)), with normal control eyes, measured following a similar time-course (Fig. 7.4<br />

(G-L)). In some cases, we observed statistically significant changes in control eyes<br />

between measurements separated one day or one week, although no treatment had<br />

been applied between the measurements. Very interestingly, left <strong>and</strong> right eyes of the<br />

same subject (in all patients <strong>and</strong> all but one control subject) follow the same trends<br />

with time.<br />

7.4.4. Difference between vertical <strong>and</strong> horizontal radii <strong>and</strong> asphericities<br />

The results reported above correspond to radii <strong>and</strong> asphericities obtained from a fit of<br />

the topographies to rotationally symmetric ellipsoids. We have also fitted the<br />

topographies to more general non-rotationally symmetric ellipsoids, <strong>and</strong> analyzed the<br />

vertical <strong>and</strong> horizontal radii <strong>and</strong> asphericities separately. We did not find statistically<br />

significant meridional differences in asphericity (Fig. 7.5 (C, D)). However, the<br />

average radius of curvature shows statistically significant meridional differences:<br />

while the horizontal radius does not change at any time point (Fig. 7.5 (A)), the<br />

vertical radius of curvature suffers a statistically significant change one day after<br />

surgery (Fig. 7.5 (B), R y = 47 m, p = 0.004). This meridional difference is<br />

equivalent to a posterior astigmatism of 0.9 D (<strong>and</strong> an effective astigmatism of 0.037<br />

D), <strong>and</strong> is responsible for the near-significant change of the average radius of<br />

curvature reported before (Fig. 7.3 (A)). This meridional change cannot be attributed<br />

to a different variability in the vertical direction for this instrument, as seen from the<br />

validation experiments. No meridional differences were found in control subjects.<br />

Fig. 7.5: Changes of average horizontal <strong>and</strong> vertical radii of curvature (A, B) <strong>and</strong><br />

asphericity (C, D). Gray dots: Patients measured the three times. Black squares: All<br />

patients. Error bars indicate the 98.3% confidence interval. Number of eyes per point<br />

is the same as in Fig. 7.3.<br />

Figure 7.6 shows histograms of changes between pre-operative <strong>and</strong> all post-operative<br />

measurements for all control eyes (A, B) <strong>and</strong> all surgical eyes (C, D). Changes in<br />

control subjects follow normal distributions (according to Jarque-Bera normality test)<br />

178

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