A convenient look-up-table based method for the compensation of non-linear error in digital fringe projection

• The theoretical analysis of the nonlinear errors in digital fringe projection is deduced.
• The LUT is made from measured phase map without extra calibration experiment.
• The process of algorithm is convenient to be applied in real-time digital fringe projection.

Although the structured light system that uses digital fringe projection has been widely implemented in three-dimensional surface profile measurement, the measurement system is susceptible to non-linear error. In this work, we propose a convenient look-up-table-based (LUT-based) method to compensate for the non-linear error in captured fringe patterns. Without extra calibration, this LUT-based method completely utilizes the captured fringe pattern by recording the full-field differences. Then, a phase compensation map is established to revise the measured phase. Experimental results demonstrate that this method works effectively.