Absolute phase recovery of three fringe patterns with selected spatial frequencies

Abstract

Absolute phase recovery of three fringe patterns with selected spatial frequencies," Optics and Lasers in Engineering, vol. 70, pp. 18-25, 2015. Absolute phase recovery of three fringe patterns with selected spatial frequencies AbstractA new temporal approach is presented for the recovery of the absolute phase maps from their wrapped versions based on the use of fringe patterns of three different spatial frequencies. In contrast to the twofrequency method recently published, the method proposed is characterized by better anti-error capability as measured by phase error tolerance bound. A general rule for the selection of the three frequencies is presented, and its relationship to the phase error tolerance bound is derived. Theoretical analysis and experimental results are also presented to validate the effectiveness of the proposed three frequency technique. Abstract: A new temporal approach is presented for the recovery of the absolute phase maps from their wrapped versions based on the use of the fringe patterns of three different spatial frequencies. In contrast to the twofrequency method recently published, the method proposed is characterized by better anti-error capability as measured by phase error tolerance bound. A general rule for the selection of the three frequencies is presented, and its relationship to the phase error tolerance bound is derived. Theoretical analysis and experimental results are also presented to validate the effectiveness of the proposed three frequency technique.

Absolute phase recovery in structured light illumination systems: Sinusoidal vs. intensity discrete patterns

“…In SLI techniques, one seeks to calculate the absolute phase map at the smallest period, or equivalently, the unknown integer fringe order. The development of noise robust phase unwrapping techniques are an on-going field of research, where representative techniques may be based on ART [33], CRT [21], and LUT [26] …”

“…(2) The coefficients needed for the calculation of m 3 for the exemplary sets of "Ding" {6,10,15} [26] or "Burke" {9,10,11} [15] integers, are shown in Table 1. An example of a multi-frequency phase unwrapping procedure using the so-called Burke periods is shown in Fig.…”

“…1e. The reliability of the presented ART technique [33] has been investigated by simulation for various levels of phase noise and are compared to the CRT method of reference [21] and the LUT method of Reference [26]. The results in Fig.…”

“…This socalled look-up table (LUT) technique was among others proposed by Zhong [24] for the case of two fringe patterns. Since then, extensive efforts [25][26][27][28][29][30][31][32] have been made in order to develop more noise robust LUTs [26]. All these phase unwrapping methods require a unique mapping of a given set of phase values to a given integer fringe order.…”

Simple and accurate empirical absolute volume calibration of a multi-sensor fringe projection system

“…The extracted phase that is produced is wrapped ∅ , and this can be unwrapped by using a basic phase unwrapping algorithm [23], or by eliminating the wraps as explained in [24], or more sophisticated phase unwrapping methods [25,26,27,28]. This produces a relative unwrapped phase distribution, which is required to be converted to an absolute unwrapped phase using the zero-phase fringe-marking spots, as explained below.…”