Improving the Quality of the Phase Maps by Chebyshev Polynomials

Abstract

The possibilities of using Chebyshev orthogonal polynomials for filtering digital interferograms and phase maps in the one-dimensional case of deformation are analyzed. It is proposed to find the coefficients of the decomposition of functions, replacing the integration with the corresponding summation using a certain control factor to eliminate infinity in mathematical expressions. Numerical simulations show that the use of Chebyshev polynomials significantly improves the quality of phase maps.