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Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...

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ANNEX A<br />

A.3.1. Scheimpflug imaging topography<br />

We collected repeated measurements of the anterior <strong>and</strong> posterior corneal surface of<br />

three healthy eyes of three subjects with a Pentacam ® (Oculus, Wetzlar, Germany)<br />

Scheimpflug-imaging topographer. This method provides quantitative elevation maps<br />

of both surfaces, sampled in a uniform square grid of side 100 m (see Fig. A.1, left)<br />

(Perez-Escudero et al., 2009b). The instrument’s software corrects the geometrical<br />

distortion of both corneal surfaces (due to the tilt of optical surfaces which is a<br />

characteristic of Scheimpflug cameras), <strong>and</strong> the optical distortion of the posterior<br />

surface, (due to its imaging through the anterior corneal surface (Dubbelman <strong>and</strong><br />

Heijde, 2001)). We collected 33 measurements of the right eye of Subject 1 (age 26),<br />

23 measurements of the right eye of Subject 2 (age 25), <strong>and</strong> 35 measurements of the<br />

right eye of Subject 3 (age 37). All the measurements on each eye were taken<br />

consecutively in one single session, which took 45 minutes or less.<br />

In addition to these data, we used data from a previous study (Perez-Escudero et<br />

al., 2009b), of 27 eyes of 14 patients before <strong>and</strong> after LASIK surgery, <strong>and</strong> 18 eyes of 9<br />

control subjects. Each subject was measured in three or four experimental sessions on<br />

different days (over the first month post-surgery in patients , <strong>and</strong> over one week for<br />

controls), <strong>and</strong> the measurements were repeated between 3 <strong>and</strong> 6 times per<br />

experimental session.<br />

A.3.2. Corneal videokeratoscopy<br />

We used an Atlas ® 990 (Carl Zeiss Meditec AG, Jena, Germany) topographer based<br />

on Placido disks to collect repeated measurements of the anterior corneal surface of<br />

eyes. We obtained 55 repeated measurements on Subject 1 <strong>and</strong> 20 measurements on<br />

Subject 2. The subjects <strong>and</strong> eyes are the same that participated in the Scheimpflug<br />

corneal topography measurements described above. Each session took less than two<br />

hours. The videokeratoscope provides a 3D elevation map sampled in concentric<br />

circles around the corneal apex (see Fig. A.1, center).<br />

A.3.3. Lens profilometry<br />

In-vivo corneal measurements are subject to variability in the sample, <strong>and</strong> also to<br />

uncertainty in centration <strong>and</strong> alignment. We also used a microscopy-based non-contact<br />

optical profilometer (PlSensofar, Barcelona, Spain) (Artigas et al., 2004) to<br />

obtain repeated profilometric measurements of an aspheric intraocular lens. The<br />

instrument was programmed to take 36 2-D profiles at identical exact conditions<br />

(within less than 140 minutes), using the confocal mode of the instrument, as<br />

described in Ref. (Dorronsoro et al., 2009). Each profile extends about 5.5 mm,<br />

consisting of 1658 data points equispaced in the horizontal direction. Accuracy in the<br />

vertical direction is within 0.1 m.<br />

A.3.4. Simulations<br />

We generated an ideal rotationally symmetric ellipsoid of radius R = 8 mm <strong>and</strong><br />

asphericity Q = 0.3. We used the same sampling as the one used by Pentacam (grid of<br />

100 m squares). We added gaussian noise along the z direction at each point, with<br />

10-m st<strong>and</strong>ard deviation. The procedure was repeated 1000 times.<br />

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