ANSI Z80.28-2010
Ophthalmics - Methods for Reporting Optical Aberrations of Eyes
American National Standards Institute / 05-Mar-2010 / 44 pages
This standard specifies standardized methods for reporting the optical aberrations of eyes.Â
ANSI Z80.28-2010
Revision of ANSI Z80.28-2004
American National Standard
for Ophthalmics –
Methods for Reporting
Optical Aberrations of Eyes
Secretariat
The Vision Council
Approved March 5, 2010
American National Standards Institute, Inc.
Contents
Page
Foreword ....................ii
1 Scope ............... 1
2 References .........
3 Definitions...........
4 Coordinate system.....................
5 Representation of wavefront data.....................
5.1 Representation of wavefront data with the use of
Zernike polynomial function coefficients ......
5.2 Representation of wavefront data in the form of
wavefront gradient fields or wavefront error function values .....................
5.3 Gradient fit error .
6 Presentation of data representing the aberrations of the human eye.............
6.1 General...............
6.2 Aberration data presented in the form of
normalized Zernike coefficients ...................
6.3 Aberration data presented in the form of normalized
Zernike coefficients given in magnitude/axis form ..............
6.4 Aberration data presented in the form of topographical maps.
6.5 Presentation of pooled abberration data ..........
Tables
1 Symbols..............
2 Common names of Zernike polynomial functions....................
3 Common names of Zernike polynomial functions....................
Figure
1 Ophthalmic coordinate system (ISO 8429:1986).....................
Annexes
A Methods of generating Zernike coefficients......
B Conversion of Zernike coefficients to account for differing
aperture sizes, decentration and coordinate system rotation ......................
C Conversion between Zernike coefficients represented in
different systems of notation...
D Computer algorithm to generate partial derivative weighing matrices
for unnormalized Zernike polynomial functions ....................
E Table of normalized Zernike polynomial functions
(through 6th radial order)........
F Bibliography........
ii
Foreword (This foreword is not part of American National Standard ANSI Z80.28-2010.)
This American National Standard addresses the communication of aberrations of the
eye. With the dramatic increase in applications associated with aberrations, it is important
to have accepted methods for reporting data so that it is understandable
across applications.
ANSI Z80.28-2009 was adapted by a group of experts within the ANSI Ophthalmic
Instruments Subcommittee under the chair of William L. Brown, O.D., Ph.D. It is a
performance standard.
Many of the changes made in this edition of the standard are corrections made to
mathematical expressions. Such corrections are found in Clauses 3.4, 3.6, and in
Annex E. In Clause 6 (Presentation of data representing the aberrations of the human
eye) changes were made to standardize both the communication of data to others
and the presentation of data in papers, talks, etc. Clause 6 also includes the
standardization of presentations in the form of bar graphs.
Suggestions for improvement of this standard will be welcome. They should be sent
to the Vision Council, 1700 Diagonal Road, Suite 500, Alexandria, VA 22314.
This standard was processed and approved for submittal to ANSI by the Accredited
Standards Committee on Ophthalmic Optics, Z80. Committee approval of this standard
does not necessarily imply that all committee members voted for its approval. At
the time of approval of this standard, the Z80 Committee consisted of the following
members:
Thomas White, M.D., Chairman
Guido Cappelli, Vice-Chairman
Robert Rosenberg, O.D., Secretary
Organization Represented Name of Representative
Advance Medical Technologies Association ....... Douglas J. Fortunato
Richard Courtney (Alt.)
Glenn Davies (Alt.)
Bernie Liebler (Alt.)
American Academy of Optometry. David S. Loshin
American Academy of Ophthalmology ................ Thomas C. White
Pradeep Ramulu (Alt.)
Carl Tubbs (Alt.)
Rebecca Hyder (Alt.)
American Ceramic Society ........... Lyle Rubin
Herbert Hoover (Alt.)
American Optometric Association  Jeffrey Weaver
William L. Brown (Alt.)
Robert Rosenberg (Alt.)
William J. Benjamin (Alt.)
American Society of Cateract and Refractive Surgery ............... Steven Klyce
Jack T. Holladay (Alt.)
Stephen H. Johnson (Alt.)
Contact Lens Institute................... Stan Rogaski
Peter Mathers (Alt.)
Contact Lens Manufacturers Association ............ Quido Cappelli
Jan Svochak (Alt.)
Department of Veterans Affairs .... John Townsend
Sharon Atkin (Alt.)
Federated Cornea Societies/ASCRS .................. Michael Belin
David Glasser (Alt.)
Food & Drug Administration ......... Don Calogero
Bruce Drum (Alt.)
Robert James (Alt.)
Dexui Shi (Alt.)
iii
Organization Represented Name of Representative
National Association of Optometrists and Opticians ...................Nick Mileti
Joe Dezenzo (Alt.)
Franklin Rozak (Alt.)
Optical Laboratories Association...Daniel Torgersen
Virginia Lesher (Alt.)
Richard Tinson (Alt.)
Robert Dziuban (Alt.)
Jonathan Schwartz (Alt.)
Opticians Association of America..Tom Hicks
Catherine Langley (Alt.)
Sunglass Association of America..Kenneth Frederick
Scott MacGuffie (Alt.)
Rick Van Arnam (Alt.)
US Leader to ISO TC 172/SC7 .....Charles E. Campbell
Vision Council of America .............Jeffrey Endres
Dick Whitney (Alt.)
Kenneth O. Wood (Alt.)
Steve Drake (Alt.)
Neil Roche (Alt.)
The Subcommittee on Ophthalmic Instruments, which modified this American National
Standard, had the following members:
William L. Brown, O.D., Ph.D., Chairman
Michael Belin
Christine Bradley
Don Calogero
Charles E. Campbell
Gerhard Cibis
Bruce Drum
Douglas J. Fortunato
David Glasser
Jack Holladay
Stephen Klyce
Virginia Lesher
David Loshin
Nick Mileti
Sharon Miller
Robert Rosenberg
Franklin Rozak
Dexiu Shi
David Sliney
Jeff Todd
Thomas White
Kenneth Wood
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