Generalization of the zernike polynomials to a discretely sampled cartesian grid: Application to ophthalmic surfaces.

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

Abstract

Orthogonal polynomials on a discretely sampled unit circle are developed and used to represent complex surface shapes found in ophthalmic optics. These polynomials are a generalization of the Zernike polynomials on the continuous unit circle

Original languageEnglish (US)
Title of host publicationOptics InfoBase Conference Papers
PublisherOptical Society of America
ISBN (Print)1557527970, 9781557527974
StatePublished - 2005
EventFrontiers in Optics, FiO 2005 - Tucson, AZ, United States
Duration: Oct 16 2005Oct 21 2005

Other

OtherFrontiers in Optics, FiO 2005
CountryUnited States
CityTucson, AZ
Period10/16/0510/21/05

Fingerprint

polynomials
grids
Polynomials
Optics
optics

ASJC Scopus subject areas

  • Instrumentation
  • Atomic and Molecular Physics, and Optics

Cite this

Generalization of the zernike polynomials to a discretely sampled cartesian grid : Application to ophthalmic surfaces. / Schwiegerling, James T.

Optics InfoBase Conference Papers. Optical Society of America, 2005.

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

Schwiegerling, JT 2005, Generalization of the zernike polynomials to a discretely sampled cartesian grid: Application to ophthalmic surfaces. in Optics InfoBase Conference Papers. Optical Society of America, Frontiers in Optics, FiO 2005, Tucson, AZ, United States, 10/16/05.
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