# Ray-based phase error correction for miniaturized DOE projector-based FPP under single-directional hyperbolic projection

arXiv: https://arxiv.org/abs/2607.15139 · HTML: https://mlsanity.com/paper/2607.15139/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 35 references that are in the map.
- First posted on arXiv 16 Jul 2026.

## Builds on (most cited first, 3 of 3)

- [Quasi-calibration method for structured light system with auxiliary camera](https://mlsanity.com/paper/2403.01119/) (2024)
- [Hybrid calibration procedure for fringe projection profilometry based on stereo-vision and polynomial fitting](https://mlsanity.com/paper/2003.04168/) (2020)
- [Pixel-wise rational model for structured light system](https://mlsanity.com/paper/2305.07128/) (2023)

## Abstract (arXiv)

Fringe Projection Profilometry (FPP) systems using miniaturized DOE pro-jectors often suffer from severe phase artifacts due to nonlinear projection characteristics and limited pattern controllability. We propose a ray-based phase error correction framework that models phase artifacts along projection rays from the projector pinhole, incorporating projector geometry without re-lying on image-domain processing or neighboring pixels. A projector pinhole estimation method based on a single-directional hyperbolic fringe pattern is introduced, through which projector geometry can be recovered without stereo calibration. In addition, a data-efficient strategy constructs the re-finement model from a single calibration pose. Experiments on miniaturized DOE projector-based FPP systems demonstrate significant improvements in reconstruction accuracy under nonlinear projection conditions, confirming the robustness and physical consistency of the proposed approach.