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Low_resolution_Thesis_CDD_221009_public - Visual Optics and ...

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CORRELATION BETWEEN RADIUS AND ASPHERICITY<br />

A.1. ABSTRACT<br />

The optical surfaces of the eye are often described in terms of their<br />

radius <strong>and</strong> asphericity. We found that the variation in measured<br />

radius <strong>and</strong> asphericity due to experimental noise is strongly<br />

correlated. We show this correlation in experimental corneal<br />

elevation data from videokeratoscopy (Atlas, Zeiss) <strong>and</strong><br />

Scheimpflug topography (Pentacam, Oculus), in non-contact<br />

profilometry data of artificial lenses, <strong>and</strong> in simulations. The effect<br />

is a characteristic of conic curves, <strong>and</strong> not restricted to any<br />

experimental device or fitting procedure. A separate analysis of<br />

radius <strong>and</strong> asphericity may estimate incorrectly the statistical<br />

significance of the changes of the ocular surfaces. We propose a<br />

MANOVA-based statistical analysis that increases sensitivity by a<br />

factor of 4.<br />

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