High-precision phase compensation in deflectometry for discrete surfaces

TY - JOUR

T1 - High-precision phase compensation in deflectometry for discrete surfaces

AU - Zhang, Nansheng

AU - Wang, Shanshan

AU - Zhang, Shaohui

AU - Zhu, Qiudong

N1 - Publisher Copyright: © 2026 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.

PY - 2026/3/20

Y1 - 2026/3/20

N2 - Phase compensation deflectometry enables the rapid assessment of surface figure errors and defects on specular surfaces. This method requires the construction of high-precision compensation fringes, whereas most existing approaches rely on analytical surface models and struggle to handle discrete surfaces. This paper presents a generic geometric modeling and reconstruction method for phase compensation deflectometry on discrete surfaces, overcoming the constraints of conventional height-field models. During ray reconstruction, the method incorporates the Möller–Trumbore algorithm combined with barycentric normal interpolation to accurately compute surface intersection points and normal vectors. Experimental results demonstrate that the Pearson correlation coefficient between the proposed method and interferometer measurements exceeds 0.7. This work provides a versatile and efficient solution for high-precision null testing of discrete surfaces.

AB - Phase compensation deflectometry enables the rapid assessment of surface figure errors and defects on specular surfaces. This method requires the construction of high-precision compensation fringes, whereas most existing approaches rely on analytical surface models and struggle to handle discrete surfaces. This paper presents a generic geometric modeling and reconstruction method for phase compensation deflectometry on discrete surfaces, overcoming the constraints of conventional height-field models. During ray reconstruction, the method incorporates the Möller–Trumbore algorithm combined with barycentric normal interpolation to accurately compute surface intersection points and normal vectors. Experimental results demonstrate that the Pearson correlation coefficient between the proposed method and interferometer measurements exceeds 0.7. This work provides a versatile and efficient solution for high-precision null testing of discrete surfaces.

UR - https://www.scopus.com/pages/publications/105033058660

U2 - 10.1364/AO.589095

DO - 10.1364/AO.589095

M3 - Article

AN - SCOPUS:105033058660

SN - 1559-128X

VL - 65

SP - 3065

EP - 3074

JO - Applied Optics

JF - Applied Optics

IS - 9

ER -