Surface description for cornea topography using modified chebyshev-polynomials

Alexandros Soumelidis, Zolán Fazekás, Ferenc Schipp, János Németh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

The optical behaviour of the (human) cornea is often characterized with the Zernike-coefficients derived via the Zernike-transform of its optical power map. in this paper, a radial transform based on the Chebyshev-polynomials of the second kind is suggested for a surface-based, rather than an optical power map based representation of the cornea. This transform is well-suited for providing compact representations for quasi-hemispherical surfaces, and after appropriate argument-transform applied to these polynomials also for spherical-calotte-like surfaces. Examples illustrating the effect of the argument-transformation are also included in the paper.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
Pages325-330
Number of pages6
Publication statusPublished - Dec 1 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: Jul 3 2005Jul 8 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CountryCzech Republic
CityPrague
Period7/3/057/8/05

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Keywords

  • Biomedical systems
  • Function approximation
  • Medical applications
  • Radial base function
  • Shape description

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Soumelidis, A., Fazekás, Z., Schipp, F., & Németh, J. (2005). Surface description for cornea topography using modified chebyshev-polynomials. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 325-330). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).