title: Parametric model for the 3D reconstruction of individual fovea shape from OCT data.
abstract: As revealed by optical coherence tomography (OCT), the shape of the fovea may vary greatly among individuals. However, none of the hitherto available mathematical descriptions comprehensively reproduces all individual characteristics such as foveal depth, slope, naso-temporal asymmetry, and others. Here, a novel mathematical approach is presented to obtain a very accurate model of the complete 3D foveal surface of an individual, by utilizing recent developments in OCT. For this purpose, a new formula was developed serving as a simple but very flexible way to represent a given fovea. An extensive description of the used model parameters, as well as, of the complete method of reconstructing a foveal surface from OCT data, is presented. Noteworthy, the formula analytically provides characteristic foveal parameters and thus allows for extensive quantification. The present approach was verified on 432 OCT scans and has proved to be able to capture the whole range of asymmetric foveal shapes with high accuracy (i.e. a mean fit error of 1.40 μm).
authors.affiliation: Translational Centre for Regenerative Medicine (TRM), University Leipzig, Leipzig, Germany; Interdisciplinary Centre for Bioinformatics, University Leipzig, Leipzig, Germany. Electronic address: pscheibe@trm.uni-leipzig.de.
authors.forename: Patrick
authors.initials: P
authors.lastname: Scheibe
authors.affiliation: Department of Ophthalmology, Leipzig University Hospital, Leipzig, Germany.
authors.forename: Anfisa
authors.initials: A
authors.lastname: Lazareva
authors.affiliation: Interdisciplinary Centre for Bioinformatics, University Leipzig, Leipzig, Germany; Leipzig Research Centre for Civilisation Diseases (LIFE), University Leipzig, Leipzig, Germany.
authors.forename: Ulf-Dietrich
authors.initials: UD
authors.lastname: Braumann
authors.affiliation: Paul Flechsig Institute for Brain Research, Department of Pathophysiology of Neuroglia, University Leipzig, Leipzig, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Reichenbach
authors.affiliation: Department of Ophthalmology, Leipzig University Hospital, Leipzig, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Wiedemann
authors.affiliation: Translational Centre for Regenerative Medicine (TRM), University Leipzig, Leipzig, Germany; Paul Flechsig Institute for Brain Research, Department of Pathophysiology of Neuroglia, University Leipzig, Leipzig, Germany.
authors.forename: Mike
authors.initials: M
authors.lastname: Francke
authors.affiliation: Department of Ophthalmology, Leipzig University Hospital, Leipzig, Germany.
authors.forename: Franziska Georgia
authors.initials: FG
authors.lastname: Rauscher
mesh_terms: D000328:Adult; D000368:Aged; D005260:Female; D005584:Fovea Centralis / Q000166:cytology*; D006801:Humans; D007091:Image Processing, Computer-Assisted; D008297:Male; D008875:Middle Aged; D008962:Models, Theoretical; D012016:Reference Values; D041623:Tomography, Optical Coherence / Q000379:methods*; D055815:Young Adult
keywords: 3D reconstruction; fovea shape; mathematical model; optical coherence tomography (OCT)