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Shading computations on the radiation manifold

McGill University
Publication Date
  • Engineering
  • Electronics And Electrical.
  • Computer Science.
  • Computer Science


In this thesis, a new approach to shape-from-shading is taken in which shading variations are attributed entirely to spatially varying illumination. This leads to a new analysis of the shape-from-shading problem, and to a new algorithm for solving it. In particular, a model of spatially varying illumination is developed which is in terms of the set of light rays in free space. This set is shown to be a four dimensional smooth manifold, called the radiation manifold. Local transformations between coordinate systems on this manifold are derived, and provide the basic mechanism of a new, parallel algorithm for inferring shape-from-shading.

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