Polynomial fitting model for phase reconstruction: interferograms with high fringe density

Alejandro Téllez-Quiñones; Daniel Malacara-Doblado; Jorge García-Márquez

doi:10.1117/12.956500

25 September 2012 Polynomial fitting model for phase reconstruction: interferograms with high fringe density

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, Jorge García-Márquez

Proceedings Volume 8493, Interferometry XVI: Techniques and Analysis; 849319 (2012) https://doi.org/10.1117/12.956500
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

Abstract

A data fitting model is proposed to estimate phases from its cosine and sine. The a priori assumption is that the phases to be reconstructed should be expressed by polynomials. The cosine and sine of the phases are obtained from interferograms with high fringe density by generalized phase-shifting techniques The proposed method is employed for phase reconstrution by line integration of the phase gradient or any other phase-unwrapping technique and the fit is achieved by a least-squares minimization.

Citation Download Citation

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez "Polynomial fitting model for phase reconstruction: interferograms with high fringe density", Proc. SPIE 8493, Interferometry XVI: Techniques and Analysis, 849319 (25 September 2012); https://doi.org/10.1117/12.956500

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available