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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 28 — Oct. 1, 2006
  • pp: 7205–7210

Optics InfoBase > Applied Optics > Volume 45 > Issue 28 > Realizing any central projection with a mirror pair

Realizing any central projection with a mirror pair

R. Andrew Hicks, Marc Millstone, and Kostas Daniilidiis  »View Author Affiliations


Applied Optics, Vol. 45, Issue 28, pp. 7205-7210 (2006)
http://dx.doi.org/10.1364/AO.45.007205


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Abstract

We show that, for any rotationally symmetric projection with a single virtual viewpoint, it is possible to design a two-mirror rotationally symmetric system that realizes the projection exactly. These mirror pairs are derived from two coupled differential equations. We give examples in which the projections from the sphere at infinity are stereographic, perspective, and equiresolution.

© 2006 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design

ToC Category:
Geometric Optics

History
Original Manuscript: April 14, 2006
Revised Manuscript: May 17, 2006
Manuscript Accepted: May 18, 2006

Citation
R. Andrew Hicks, Marc Millstone, and Kostas Daniilidiis, "Realizing any central projection with a mirror pair," Appl. Opt. 45, 7205-7210 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-28-7205

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