Issue |
ESAIM: ProcS
Volume 62, 2018
CIMPA School on Mathematical Models in Biology and Medicine
|
|
---|---|---|
Page(s) | 43 - 55 | |
DOI | https://doi.org/10.1051/proc/201862043 | |
Published online | 17 October 2018 |
A New Decomposition Basis for The Classification of Aberrations of The Human Eye
1
Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 78035 Versailles, France.
2
Department of Anterior Segment and Refractive Surgery, Fondation Rothschild, 75019 Paris, France.
3
PhD, no affliation.
The optical defects of the human eye are analyzed and classified by studying the corre-sponding ocular wavefront. After presenting the orthogonal basis, called the Zernike basis, which is currently used for the wavefront analysis, a new mathematical decomposition basis is built. In this new basis, the phase errors due to the low degree aberrations terms are totally separated from the high order terms, in order to improve the relevance of the clinical interpretation through a better appreciation of the low vs high aberration wavefront components. Various clinical examples (myopia, keratoconus) clearly show the interest of this new basis compared to a diagnosis based on the Zernike decomposition.
Résumé
Les défaut optiques de l’oeil humain sont analysés et classés à partir des caractéristiques mathématiques du front d’onde de l’oeil considéré. Après avoir présenté la méthode actuelle basée sur la décomposition du front d’onde dans la base orthonormale de Zernike ainsi que certaines de ses limitations, on propose ici une nouvelle base de décomposition basée sur une séparation stricte des effets de bas degré et de haut degré. Différents cas cliniques présentés dans la dernière section permettent de mettre en évidence l’intérêt de cette nouvelle base de décomposition.
© EDP Sciences, SMAI 2018
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