Abstract
Polarization is a phenomenon that cannot be observed by the human eye, but it provides rich information regarding scenes. The proposed method estimates the surface normal of black specular objects through polarization analysis of reflected light. A unique surface normal cannot be determined from a polarization image observed from a single viewpoint; thus, we observe the object from multiple viewpoints. To analyze the polarization state of the reflected light at the corresponding points when observed from multiple viewpoints, the abstract shape is predetermined using a space carving technique. Unlike a conventional photometric stereo or multiview stereo, which cannot estimate the shape of a black specular object, the proposed method estimates the surface normal and three-dimensional coordinates of black specular objects via polarization analysis and space carving.
Highlights
Three-dimensional (3-D) modeling techniques have been intensively investigated in the field of computer vision
We propose a method for creating a 3-D model using both polarization analysis and space carving
Owing to the sparse camera arrangement, space carving cannot represent the smooth surface of the sphere
Summary
Three-dimensional (3-D) modeling techniques have been intensively investigated in the field of computer vision. Miyazaki et al.[14] used a geometrical invariant to match the corresponding points from two views to estimate the surface normal of a transparent object. Wolff and Boult[16] developed the basic theory for showing that polarization analysis can estimate a surface normal from two views if the corresponding points are known. Rahmann and Canterakis[18] estimated the surface normal of a specular object from multiple views by iteratively finding the corresponding points of these views. Atkinson and Hancock[20] analyzed the local structure of an object to find the corresponding points between two viewpoints in order to calculate the surface normal from the polarization of two views. Some of these methods can be used for estimating the surface normal of a specular object; the corresponding points of multiple views are required for the estimation process
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