Geometric constraint algorithms can solve phase ambiguity for fringe projection profilometry. However, they either require multiple cameras or suffer from a small measurement depth range. To overcome these limitations, this letter proposes an algorithm combining orthogonal fringe projection and geometric constraints. A novel scheme is developed to assess the reliabilities of the potential homologous points, which works with depth segmentation to determine the final homologous points. With full consideration of lens distortions, the algorithm reconstructs...