Surface description for cornea topography using modified chebyshev-polynomials

Alexandros Soumelidis, Zolán Fazekás, Ferenc Schipp, J. 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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages325-330
Number of pages6
Volume16
Publication statusPublished - 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: Jul 3 2005Jul 8 2005

Other

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

Fingerprint

Topography
Polynomials
Mathematical transformations

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 IFAC Proceedings Volumes (IFAC-PapersOnline) (Vol. 16, pp. 325-330)

Surface description for cornea topography using modified chebyshev-polynomials. / Soumelidis, Alexandros; Fazekás, Zolán; Schipp, Ferenc; Németh, J.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 325-330.

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

Soumelidis, A, Fazekás, Z, Schipp, F & Németh, J 2005, Surface description for cornea topography using modified chebyshev-polynomials. in IFAC Proceedings Volumes (IFAC-PapersOnline). vol. 16, pp. 325-330, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, Czech Republic, 7/3/05.
Soumelidis A, Fazekás Z, Schipp F, Németh J. Surface description for cornea topography using modified chebyshev-polynomials. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 325-330
Soumelidis, Alexandros ; Fazekás, Zolán ; Schipp, Ferenc ; Németh, J. / Surface description for cornea topography using modified chebyshev-polynomials. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. pp. 325-330
@inproceedings{70f3640bf0694bad9bdc15e89eae2951,
title = "Surface description for cornea topography using modified chebyshev-polynomials",
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.",
keywords = "Biomedical systems, Function approximation, Medical applications, Radial base function, Shape description",
author = "Alexandros Soumelidis and Zol{\'a}n Fazek{\'a}s and Ferenc Schipp and J. N{\'e}meth",
year = "2005",
language = "English",
isbn = "008045108X",
volume = "16",
pages = "325--330",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

}

TY - GEN

T1 - Surface description for cornea topography using modified chebyshev-polynomials

AU - Soumelidis, Alexandros

AU - Fazekás, Zolán

AU - Schipp, Ferenc

AU - Németh, J.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - Biomedical systems

KW - Function approximation

KW - Medical applications

KW - Radial base function

KW - Shape description

UR - http://www.scopus.com/inward/record.url?scp=79960745030&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960745030&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960745030

SN - 008045108X

SN - 9780080451084

VL - 16

SP - 325

EP - 330

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -