Interreflection removal for photometric stereo by using spectrum-dependent albedo

  • Authors:
  • Miao Liao; Xinyu Huang; Ruigang Yang

  • Affiliations:
  • Dept. of Comput. Sci., Univ. of Kentucky, Lexington, KY, USA;Dept. of Math. & Comput. Sci., North Carolina Central Univ., Durham, NC, USA;Dept. of Comput. Sci., Univ. of Kentucky, Lexington, KY, USA

  • Venue:
  • CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
  • Year:
  • 2011

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Abstract

We present a novel method that can separate m-bounced light and remove the interreflections in a photometric stereo setup. Under the assumption of a uniformly colored lambertian surface, the intensity of a point in the scene is the sum of 1-bounced light through m-bounced light rays. Ruled by the law of diffuse reflection, whenever a light ray is bounced by the surface, its intensity will be attenuated by the factor of albedo ?. This implies that the measured intensity value can be written as a polynomial function of ?, and the intensity contribution of the m-bounced light rays are expressed by the term of ?^m. Therefore, when we change the surface albedo, the intensity of the m-bounced light is changed to the order of m. This non-linearity gives us the possibility to separate the m-bounced light. In practice, we illuminate the scene with different light colors to effectively simulate different surface albedos since albedo is spectrum dependent. Once the m-bounced light rays are separated, we can perform the photometric stereo algorithm on the 1-bounced light (direct lighting) images to produce the 3D shape without the impact of interreflections. Experiments have shown that we get significantly improved scene reconstruction with a minimum of two color images.