光学精密工程2026，Vol.34Issue(15)：2359-2368,10.DOI:10.37188/OPE.20263415.2359
双镜面物体面形三维测量的虚拟基准标定
Virtual datum calibration for surface shape 3D measurement of double mirror objects
摘要
Abstract
Double-mirror components are widely used in advanced manufacturing equipment and complex optical instruments.However,complete three-dimensional(3D)surface-form measurement is challenging because the two functional surfaces typically have a large angle between their surface normals.When phase-measuring deflectometry(PMD)is applied separately to the two surfaces,the reconstructed point clouds are expressed in independent coordinate systems.The lack of a common physical datum prevents determination of their relative spatial transformation and degrades point-cloud registration accuracy.A vir-tual-datum calibration method is proposed to establish a common coordinate system without requiring a physical reference shared by the two subsystems.The method uses virtual reference planes retained during subsystem calibration as datum-transfer carriers.Phase-reconstructed measurements of a plane mirror ac-quired at multiple poses are combined with turntable-coordinate-system constraints to determine the spatial transformation between the two virtual reference planes.The two surface datasets are thereby transformed into a unified coordinate system for 3D reconstruction.Experimental validation achieved point-cloud regis-tration of the double-mirror surfaces.The right surface exhibited a root-mean-square(RMS)deviation of 0.059 mm relative to a reference plane,confirming the feasibility of complete 3D surface-form reconstruc-tion.The method provides a practical calibration strategy for precision measurement of multi-surface re-flective components.关键词
相位偏折测量术/双镜面物体/虚拟基准标定/镜面面形Key words
phase measuring deflectometry/double mirror objects/virtual datum calibration/specular surface metrology分类
机械制造引用本文复制引用
靳钰,倪育博,高楠,马璐瑶,孟召宗,杨泽青,张国锋,赵洪伟,张宗华..双镜面物体面形三维测量的虚拟基准标定[J].光学精密工程,2026,34(15):2359-2368,10.基金项目
河北省教育厅科学研究资助项目(No.JZX2024021) （No.JZX2024021）
河北省自然科学基金资助项目(No.E2024202153,No.E2024202121) （No.E2024202153,No.E2024202121）
国家自然科学基金资助项目(No.U2341275) （No.U2341275）
