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Proceedings Paper

Use Of Series Expansion And Envelope Function For Interferometric Reconstruction Of Continuous Flow Fields
Author(s): Soyoung Cha; Charles M. Vest
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Paper Abstract

Series-expansion methods for interferometric tomography of continuous flow fields are discussed. The techniques are based on series expansion by orthogonal polynomials and circular harmonics multiplied by an envelope function. These methods employing continuous basis functions are appropriate for reflecting an peculiar characteristics of interferometric tomography of fluid flow fields, namely, continuity, data sparsity, and nonuniform sampling. The high approximating power of the methods allows accurate representation of fields with a small number of series terms. This generates enough redundancy for a given number of data points in setting up a system of linear algebraic equations. The data redundancy thus generated yields accurate reconstruction even under ill-posed conditions including limited view angle, incomplete projections, and high noise level.

Paper Details

Date Published: 24 August 1987
PDF: 9 pages
Proc. SPIE 0788, Flow Visualization and Aero-Optics in Simulated Environments, (24 August 1987); doi: 10.1117/12.940704
Show Author Affiliations
Soyoung Cha, The University of Illinois at Chicago (United States)
Charles M. Vest, The University of Michigan (United States)


Published in SPIE Proceedings Vol. 0788:
Flow Visualization and Aero-Optics in Simulated Environments
H. Thomas Bentley, Editor(s)

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