Temporal phase unwrapping using orthographic projection

• DOI: 10.1016/j.optlaseng.2016.09.006
• Publication Date: 2016-10-07T02:45:18Z
• Authors: Tomislav Petković; Tomislav Pribanić; Matea Đonlić
• Keywords: temporal phase unwrapping ; orthographic projection ; multiple frequency phase shifting ; surface profilometry ; structured light; 0103 physical sciences; 01 natural sciences

This paper proposes a novel temporal phase unwrapping method which is a generalization of the three commonly proposed approaches: hierarchical, heterodyne, and number theoretical phase unwrapping. The proposed unwrapping method is based on the orthographic projection of wrapped phases from the measurement space to the space of co-dimension 1. In the space of co-dimension 1 all unknown integer period-order numbers are computed simultaneously using a nearest-neighbor search on a fixed constellation of points. The proposed method offers new key insights about relationship between unwrapping success rate, noise limit, and maximum unwrapping range. We give example how the proposed method may be applied in the multiple frequency phase shifting profilometry.