Continuous Local Basis Functions for Interferometric Reconstruction of Continuous Phase Objects.

摘要

Continuous local basis function (CLBF) methods have been formulated for three-dimensional reconstruction of phase objects from multidirectional interferometric data. In a method, identical CLBFs, having support only in their local domains, are employed. Three methods tested include the polynomial, the convoluted Hanning function, and the cubic B-spline. Unlike the conventional methods, they represent higher-order approximations. The polynomial and convoluted Hanning function allow relatively simple expressions. All the CLBFs can fit a constant function with proper overlaps. The methods are evaluated through computer simulation of experiments. They demonstrate comparable power of approximation. The CLBF methods show better reconstruction accuracy than the traditional methods as noise level or degree of limited data (incomplete projection and limited view angle) increases. Keywords: Flow visualization, Interferometry, Tomography, Three-dimensional, High speed aerodynamics, Reprints. (jhd)