广义立体偏折双通道测量方法研究

Solution on normal-height ambiguity is the technological difficulty in fringe-reflection deflectometry for specular surface 3D shape measurement, in which the diffuse reflection LCD screen is implemented as a structured illuminant. The proposal focuses on generalized stereo deflectometry dual-channel measurement based on the scheme of multi-view. The normal-bundle consistency for the measured point of specular surface established by multiple cameras imaging and phase distance consistency on LCD screen are utilized, solution of coordinate for measured point are obtained through iterative optimization, normal-bundle angle error equation and virtual photogrammetric imaging reprojection error equation are investigated to optimize coordinate, monocular deflectometry generalized measurement equation is built in the measurement structure of multiple-view stereo deflectometry, to continue optimizing by iterations with measured coordinate to obtain the coordinate and normal, realizing generalized stereo deflectometry double-channel measurement, without providing coarse specular surface under test. The results of research break through the form limitation of measurement volume, having a certain application potential for optical free-form surface.

法矢与矢高歧义性是以漫反射液晶显示器作为结构光源的条纹反射偏折镜面表面三维测量的技术难点。本课题拟采用多视角方案研究广义立体偏折双通道测量方法，利用多摄像机成像的镜面待测点法束一致性和LCD显示器的相位距离一致性，迭代优化获得待测点的坐标；研究法束角度误差方程和虚拟摄影成像重投影误差方程优化待测点坐标；在多视角立体偏折系统下构建单目偏折的广义测量方程，以测量的坐标进行迭代优化，实现广义立体偏折坐标和法矢的双通道测量，无需提供待测镜面的预知面形。该研究成果突破了条纹反射偏折在测量体形态上的限制，在光学自由曲面三维测量方面具有一定的应用潜力。

光学自由曲面三维测量一直是光学工程领域亟待解决的难点，立体偏折有望实现精密光学自由曲面三维测量。本报告总结了项目资助下开展的双目立体偏折双通道测量方法，包括偏折系统标定，绝对相位同名点匹配，法矢一致性的一维距离参数化，测量平面镜与凹面镜的精度均达到微米级；采用平面镜反射的方法标定了双智能手机超视距摄像机位姿，开发了简单应用的可视化程序软件包，平面镜多次反射方法的集成有望进一步提高软件标定精度。本项目完成的非视线成像标定软件包在计算机视觉，计算摄影等领域亦具有较好的应用价值。