Continuous Local Basis Functions For Interferometric Reconstruction Of Continuous Phase Objects

Hongwei Sun; Soyoung Stephen Cha

doi:10.1117/12.962757

25 April 1990 Continuous Local Basis Functions For Interferometric Reconstruction Of Continuous Phase Objects

Hongwei Sun, Soyoung Stephen Cha

Proceedings Volume 1162, Laser Interferometry: Quantitative Analysis of Interferograms: Third in a Series; (1990) https://doi.org/10.1117/12.962757
Event: 33rd Annual Technical Symposium, 1989, San Diego, United States

Abstract

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.

Citation Download Citation

Hongwei Sun and Soyoung Stephen Cha "Continuous Local Basis Functions For Interferometric Reconstruction Of Continuous Phase Objects", Proc. SPIE 1162, Laser Interferometry: Quantitative Analysis of Interferograms: Third in a Series, (25 April 1990); https://doi.org/10.1117/12.962757

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