Abstract

The linear 2-dim irreducible representations of the dihedral groups $\left(D_n\right)$ are interpreted as classical linear operators of geometrical optics. It is shown that the 2-dim irreducible representation of $D_4$ is simply the refractive group described by Campbell [Optom. Vision Sci. 74, 381 (1997) ]. The dihedral Fourier-inverse mechanism is introduced and shown to provide a systematic connection between the standard refractive data and their vector space representation, as proposed by Thibos et al. [Vision Sci. Appl. 2, 14 (1994) ].

© 2005 Optical Society of America

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