## Abstract

A new framework for phase recovery from a single fringe pattern with closed fringes is proposed. Our algorithm constructs an unwrapped phase from previously computed phases with a simple open-fringe-analysis algorithm, twice applied for analyzing horizontal and vertical oriented fringes, respectively. That reduces the closed-fringe-analysis problem to that of choosing the better phase between the two oriented computed phases and then of estimating the local sign. By propagating the phase sign [and a tilewise constant (DC) term] by regions [here named *tiles*] instead of a pixelwise phase propagation, our analysis of closed-fringe patterns becomes more robust and faster. Additionally, we propose a multigrid refinement for improving the final computed phase.

© 2008 Optical Society of America

Full Article | PDF Article**More Like This**

Jesús Muñoz-Maciel, Francisco J. Casillas-Rodríguez, Miguel Mora-González, Francisco G. Peña-Lecona, Víctor M. Duran-Ramírez, and Gilberto Gómez-Rosas

Appl. Opt. **50**(1) 22-27 (2011)

Jesús Villa, Ismael De la Rosa, Gerardo Miramontes, and Juan Antonio Quiroga

J. Opt. Soc. Am. A **22**(12) 2766-2773 (2005)

J. L. Marroquin, M. Servin, and R. Rodriguez-Vera

J. Opt. Soc. Am. A **14**(8) 1742-1753 (1997)