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This paper addresses the problem of reconstructing the surface shape oftransparent objects. The difficulty of this problem originates from theviewpoint dependent appearance of a transparent object, which quickly makesreconstruction methods tailored for diffuse surfaces fail disgracefully. Inthis paper, we introduce a fixed viewpoint approach to dense surfacereconstruction of transparent objects based on refraction of light. We presenta simple setup that allows us to alter the incident light paths before lightrays enter the object by immersing the object partially in a liquid, anddevelop a method for recovering the object surface through reconstructing andtriangulating such incident light paths. Our proposed approach does not need tomodel the complex interactions of light as it travels through the object,neither does it assume any parametric form for the object shape nor the exactnumber of refractions and reflections taken place along the light paths. It cantherefore handle transparent objects with a relatively complex shape andstructure, with unknown and inhomogeneous refractive index. We also show thatfor thin transparent objects, our proposed acquisition setup can be furthersimplified by adopting a single refraction approximation. Experimental resultson both synthetic and real data demonstrate the feasibility and accuracy of ourproposed approach.

Dense Reconstruction of Transparent Objects by Altering Incident Light Paths Through Refraction