Use Of Series Expansion And Envelope Function For Interferometric Reconstruction Of Continuous Flow Fields

Soyoung Cha; Charles M. Vest

doi:10.1117/12.940704

24 August 1987 Use Of Series Expansion And Envelope Function For Interferometric Reconstruction Of Continuous Flow Fields

Soyoung Cha, Charles M. Vest

Author Affiliations +

Proceedings Volume 0788, Flow Visualization and Aero-Optics in Simulated Environments; (1987) https://doi.org/10.1117/12.940704
Event: 1987 Technical Symposium Southeast on Optics, Electro-Optics, and Sensors, 1987, Orlando, FL, United States

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.

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Soyoung Cha and Charles M. Vest "Use Of Series Expansion And Envelope Function For Interferometric Reconstruction Of Continuous Flow Fields", Proc. SPIE 0788, Flow Visualization and Aero-Optics in Simulated Environments, (24 August 1987); https://doi.org/10.1117/12.940704

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