Fourier-based optimal recovery method for antialiasing interpolation

Chien Min Kao; Xiaochuan Pan; Patrick La Riviere; Mark A. Anastasio

doi:10.1117/1.602308

Fourier-based optimal recovery method for antialiasing interpolation

Chien Min Kao, Xiaochuan Pan, Patrick La Riviere, Mark A. Anastasio

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a Fourier-based interpolation method designed to suppress the oscillatory artifacts that occur when interpolating an undersampled function. In the proposed method, we formulate the problem as an optimal recovery problem incorporating a priori knowledge of the aliasing. Our computer simulations demonstrate that the proposed method can produce good interpolation results even when the functions are severely undersampled.

Original language	English (US)
Pages (from-to)	2041-2044
Number of pages	4
Journal	Optical Engineering
Volume	38
Issue number	12
DOIs	https://doi.org/10.1117/1.602308
State	Published - Dec 1999
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
General Engineering

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10.1117/1.602308

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title = "Fourier-based optimal recovery method for antialiasing interpolation",

abstract = "We propose a Fourier-based interpolation method designed to suppress the oscillatory artifacts that occur when interpolating an undersampled function. In the proposed method, we formulate the problem as an optimal recovery problem incorporating a priori knowledge of the aliasing. Our computer simulations demonstrate that the proposed method can produce good interpolation results even when the functions are severely undersampled.",

author = "Kao, {Chien Min} and Xiaochuan Pan and {La Riviere}, Patrick and Anastasio, {Mark A.}",

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AU - Pan, Xiaochuan

AU - La Riviere, Patrick

AU - Anastasio, Mark A.

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N2 - We propose a Fourier-based interpolation method designed to suppress the oscillatory artifacts that occur when interpolating an undersampled function. In the proposed method, we formulate the problem as an optimal recovery problem incorporating a priori knowledge of the aliasing. Our computer simulations demonstrate that the proposed method can produce good interpolation results even when the functions are severely undersampled.

AB - We propose a Fourier-based interpolation method designed to suppress the oscillatory artifacts that occur when interpolating an undersampled function. In the proposed method, we formulate the problem as an optimal recovery problem incorporating a priori knowledge of the aliasing. Our computer simulations demonstrate that the proposed method can produce good interpolation results even when the functions are severely undersampled.

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Fourier-based optimal recovery method for antialiasing interpolation

Abstract

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