title: Phase recovering without phase unwrapping in phase-shifting interferometry by cubic and average interpolation.
abstract: A simple phase estimation employing cubic and average interpolations to solve the oversampling problem in smooth modulated phase images is described. In the context of a general phase-shifting process, without phase-unwrapping, the modulated phase images are employed to recover wavefront shapes with high fringe density. The problem of the phase reconstruction by line integration of its gradient requires a form appropriate to the calculation of partial derivatives, especially when the phase to recover has higher-order aberration values. This is achieved by oversampling the modulated phase images, and many interpolations can be implemented. Here an oversampling procedure based on the analysis of a quadratic cost functional for phase recovery, in a particular case, is proposed.
authors.affiliation: Centro de Investigaciones en Óptica, A. C., Loma del Bosque 115, Col. Lomas del Campestre, C. P. 37150, León, Guanajuato, Mexico. alejandroteq@cio.mx
authors.forename: Alejandro
authors.initials: A
authors.lastname: Téllez-Quiñones
authors.forename: Daniel
authors.initials: D
authors.lastname: Malacara-Doblado