双镜面物体面形三维测量的虚拟基准标定OA

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.