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Realizing any central projection with a mirror pair

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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

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Figures (7)

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Equations (9)

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