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Biomed Opt Express. 2017 Aug 22;8(9):4181-4199. doi: 10.1364/BOE.8.004181. eCollection 2017 Sep 1.

CuBe: parametric modeling of 3D foveal shape using cubic Bézier.

Author information

NeuroCure Clinical Research Center, Charité - Universitätsmedizin Berlin, Germany.
Mathematical Geometry Processing Group, Freie Universität Berlin, Germany.
Department of Neurology, Charité - Universitätsmedizin Berlin, Germany.
Experimental and Clinical Research Center, Max Delbrück Center for Molecular Medicine and Charité - Universitätsmedizin Berlin, Germany.


Optical coherence tomography (OCT) allows three-dimensional (3D) imaging of the retina, and is commonly used for assessing pathological changes of fovea and macula in many diseases. Many neuroinflammatory conditions are known to cause modifications to the fovea shape. In this paper, we propose a method for parametric modeling of the foveal shape. Our method exploits invariant features of the macula from OCT data and applies a cubic Bézier polynomial along with a least square optimization to produce a best fit parametric model of the fovea. Additionally, we provide several parameters of the foveal shape based on the proposed 3D parametric modeling. Our quantitative and visual results show that the proposed model is not only able to reconstruct important features from the foveal shape, but also produces less error compared to the state-of-the-art methods. Finally, we apply the model in a comparison of healthy control eyes and eyes from patients with neuroinflammatory central nervous system disorders and optic neuritis, and show that several derived model parameters show significant differences between the two groups.


(000.4430) Numerical approximation and analysis; (100.0100) Image processing; (100.2960) Image analysis; (110.4500) Optical coherence tomography

Conflict of interest statement

S. K. Yadav, S. Motamedi, F. C. Oertel, E. M. Kadas, K. Polthier, T. Oberwahrenbrock have nothing to disclose. F. Paul serves on the scientific advisory board for the Novartis OCTIMS study; received speaker honoraria and travel funding from Bayer, Novartis, Biogen Idec, Teva, Sanofi-Aventis/Genzyme, Merck Serono, Alexion, Chugai, MedImmune, and Shire; is an academic editor for PLoS ONE; is an associate editor for Neurology Neuroimmunology and Neuroinflammation; consulted for Sanofi Genzyme, Biogen Idec, MedImmune, Shire, and Alexion; and received research support from Bayer, Novartis, Biogen Idec, Teva, Sanofi-Aventis/Genzyme, Alexion and Merck Serono. A.U. Brandt served on the scientific advisory board for the Biogen Vision study; received travel funding and/or speaker honoraria from Novartis Pharma, Biogen, Bayer and Teva; has consulted for Biogen, Nexus, Teva and Motognosis.

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