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- W289591142 abstract "Abstract The discretization of a voice transform generated by a representation of the Blaschke group on the Hardy space of the unit disk leads to the construction of analytic rational orthogonal wavelets, and to the construction of multiresolution analysis (MRI) in the Hardy space of the unit disk and upper half-plane. This chapter gives a survey of the results published in recent years connected to this topic, and include also some new result. For instance, this analytic wavelet system is a fundamental set for the disk algebra of the unit disk, and this chapter shows an estimation of the error term of the proposed approximation process. This special voice transform is related to the Zernike functions often used in optical tests. An important consequence of this relation is the addition formula for these functions. The last part of the chapter presents approximation algorithms used in corneal topography based on the discrete orthogonality of Zernike functions." @default.
- W289591142 created "2016-06-24" @default.
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- W289591142 date "2015-01-01" @default.
- W289591142 modified "2023-10-16" @default.
- W289591142 title "A Special Voice Transform, Analytic Wavelets, and Zernike Functions" @default.
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- W289591142 doi "https://doi.org/10.1016/bs.aiep.2014.12.001" @default.
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