Filter-generating system of Zernike polynomials
نویسندگان
چکیده
منابع مشابه
Orthogonality of Zernike Polynomials
Zernike polynomials are an orthogonal set over a unit circle and are often used to represent surface distortions from FEA analyses. There are several reasons why these coefficients may lose their orthogonality in an FEA analysis. The effects, their importance, and techniques for identifying and improving orthogonality are discussed. Alternative representations are presented.
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A pattern of interpolation nodes on the disk is studied, for which the interpolation problem is theoretically unisolvent, and which renders a minimal numerical condition for the collocation matrix when the standard basis of Zernike polynomials is used. It is shown that these nodes have an excellent performance also from several alternative points of view, providing a numerically stable surface ...
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ژورنال
عنوان ژورنال: Automatica
سال: 2019
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2019.108498