Variational phase recovering without phase unwrapping in phase-shifting interferometry

ABSTRACT

We present a variational method for recovering the phase term from the information obtained from phase-shifting methods. First we introduce the new method based on a variational approach and then describe the numerical solution of the proposed cost function, which results in a simple algorithm. Numerical experiments with both synthetic and real fringe patterns show the accuracy and simplicity of the resulting algorithm.

KEYWORDS:

• Fringe analysis
• image reconstruction techniques
• phase retrieval

2010 MSC SUBJECT CLASSIFICATIONS:

• 78A99
• 68U10
• 65K10
• 65N22
• 65F22

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Ricardo Legarda-Saenz  http://orcid.org/0000-0003-4875-324XAlejandro Téllez Quiñones  http://orcid.org/0000-0001-6712-0582Carlos Brito-Loeza  http://orcid.org/0000-0003-2970-2113Arturo Espinosa-Romero  http://orcid.org/0000-0002-5153-2950