Use Of Series Expansion And Envelope Function For Interferometric Reconstruction Of Continuous Flow Fields
Abstract
Seriesexpansion 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 illposed conditions including limited view angle, incomplete projections, and high noise level.
 Publication:

Flow visualization and aerooptics in simulated environments
 Pub Date:
 August 1987
 DOI:
 10.1117/12.940704
 Bibcode:
 1987SPIE..788...73C
 Keywords:

 Flow Measurement;
 Image Reconstruction;
 Interferometry;
 Series Expansion;
 Tomography;
 Computerized Simulation;
 Functions (Mathematics);
 Linear Equations;
 Polynomials;
 Instrumentation and Photography