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Generalization of the Zernike Polynomials to a Discretely Sampled Cartesian Grid: Application to Ophthalmic Surfaces.

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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.

© 2005 Optical Society of America

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