Shape from Shading with Interreflections Under a Proximal Light Source: Distortion-Free Copying of an UnfoldedBook

Authors:
Toshikazu Wada;Hiroyuki Ukida;Takashi Matsuyama
Affiliations:
Department of Information Technology, Faculty of Engineering, Okayama University, 3-1-1, Tsushima Naka, Okayama 700, Japan. E-mail: twada@kuee.kyoto-u.ac.jp, ukida@me.tokushima-u.ac.jp, tm@kuee.ky ...;Department of Information Technology, Faculty of Engineering, Okayama University, 3-1-1, Tsushima Naka, Okayama 700, Japan. E-mail: twada@kuee.kyoto-u.ac.jp, ukida@me.tokushima-u.ac.jp, tm@kuee.ky ...;Department of Information Technology, Faculty of Engineering, Okayama University, 3-1-1, Tsushima Naka, Okayama 700, Japan. E-mail: twada@kuee.kyoto-u.ac.jp, ukida@me.tokushima-u.ac.jp, tm@kuee.ky ...
Venue:
International Journal of Computer Vision
Year:
1997

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Abstract

We address the problem of recovering the 3D shape of an unfolded booksurface from the shading information in a scanner image. Thisshape-from-shading problem in a real world environment is madedifficult by a proximal, moving light source, interreflections,specular reflections, and a nonuniform albedo distribution. Takingall these factors into account, we formulate the problem as aniterative, non-linear optimization problem. Piecewise polynomialmodels of the 3D shape and albedo distribution are introduced toefficiently and stably compute the shape in practice. Finally, wepropose a method to restore the distorted scanner image based on thereconstructed 3D shape. The image restoration experiments for realbook surfaces demonstrate that much of the geometric and photometricdistortions are removed by our method.