Handbook of Mathematical Models in Computer Vision

pp 375-388

Shape From Shading

  • E. Prados
  • , O. Faugeras

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Shape From Shading is the process of computing the three-dimensional shape of a surface from one image of that surface. Contrary to most of the other three-dimensional reconstruction problems (for example, stereo and photometric stereo), in the Shape From Shading problem, data are minimal (we use a single image!). As a consequence, this inverse problem is intrinsically a difficult one. In this chapter we describe the main difficulties of the problem and the most recent theoretical results. We also give some examples of realistic modeling and of rigorous numerical methods.