一种基于偏振解析的三维表面重建方法

提出用解析反射光偏振图像来重建透明物体表面形状的原理及实现方法。从物体表面反射的光具有一定的偏振特性，偏振特性的不同反映了物体的形状和反射特性的不同，这两者之间存在一种必然的联系。通过分析物体表面反射光的偏振分布，可以得到物体的表面形状。依据菲涅耳反射公式，推导出偏振度与物体表面法线间的函数关系，据此构建相应算法，对由CCD照相机拍得的被测物体的偏振灰度图像进行处理，重建出被测物体的表面形状。实验结果证明提出的方法是实用且有效的。

3-D surface reconstruction based on polarization analysis

The principle and implementation method of surface reconstruction by analyzing the polarization images of reflected light to reconstruct the surface shape of a transparent object are presented. The light reflected from an object has some polarization characteristics, and different polarization characteristics correspond to different shapes and reflectance characteristics of objects. The surface shape of an object can be reconstructed by analyzing the polarization distribution of the reflected light from the object surface. The functional relation between polarization ratio and surface normal was derived according to the Fresnel formula. The surface shape of an object under test was reconstructed by processing the polarization gray-images taken by CCD camera. Experiment results show that the proposed method is feasible and efficient.