Nonlinear parameter identification in a corneal geometry model

DOI10.1080/17415977.2014.922074zbMath1326.65153OpenAlexW2046485737MaRDI QIDQ3456535

Łukasz Płociniczak, Wojciech Okrasiński

Publication date: 9 December 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2014.922074

zbMATH Keywords

parameter identificationill-posed problemcorneal topography

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Physiology (general) (92C30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions ⋮ A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis ⋮ Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry ⋮ Solution estimates for a system of nonlinear integral equations arising in optometry ⋮ Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape

Cites Work

• A nonlinear mathematical model of the corneal shape
• Bessel function model of corneal topography
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Thin film dynamics on a prolate spheroid with application to the cornea
• Dynamics of the Tear Film
• Modelling drainage of the precorneal tear film after a blink
• Regularization of an ill-posed problem in corneal topography

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