Zernike expansion of separable functions of cartesian coordinates |
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| Authors: | Sheppard Colin J R Campbell Sam Hirschhorn Michael D |
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| Affiliation: | Division of Bioengineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore. colin@nus.edu.sg |
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| Abstract: | A Zernike expansion over a circle is given for an arbitrary function of a single linear spatial coordinate. The example of a half-plane mask (Hilbert filter) is considered. The expansion can also be applied to cylindrical aberrations over a circular pupil. A product of two such series can thus be used to expand an arbitrary separable function of two Cartesian coordinates. |
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