3D Shape measurement algorithm of transparent object exclusively using reflected light

The 3D shape and optical characteristic (refractive index and transmissivity) is an important part of the product quality inspection. Furthermore, at the rebuilt of transparent object in the real word, the parameterizations of the object shape, optical characteristics are necessary. The reconstruction of general specular scenes, either refractive or mirror-like, is one of the few remaining open problems in visual reconstruction, in which refraction and specular reflection dominate the image formation process. Such scenes cannot be reconstructed by traditional laser scanners or by an ordinary 3D reconstruction algorithms designed for objects that scatter incident light. We propose a novel method for reconstructing the shape of transparent objects in the laws of geometrical optics. The basic concept of the proposed approach is to device an inverse ray-tracing equation by rigorous geometrical optical analysis.