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Original Articles

Morse-Theoretic Analysis of The Shading Problem

Pages 195-201 | Published online: 15 Jul 2015

References

  • B.K.P. Horn & M.J. Brooks, Shape from shading (Cambridge, MA: MIT Press, 1989).
  • M. Ghomi, Shadows and convexity of surfaces, Annals of Mathematics, 155, 2002, 281–293.
  • M. Ghomi, Solution to the shadow problem in 3-space. Minimal Surfaces, Geometric Analysis and Symplectic Geometry, Advanced Studies in Pure Mathematics, 34, 2002, 129–142.
  • A.T. Fomenco & T.L. Kunii, Topological modeling for visualization (Tokyo: Springer-Verlag, 1997).
  • C. Lu, Y. Cao, & D. Mumford, Surface evolution under curvature flows, Journal of Visual Communication and Image Representation, 13(1), 2002, 65–81.
  • A. Ben Hamza & H. Krim, A topological variational model for image singularities, Proc. IEEE Int. Conf. on Image Processing, Rochester, NY, USA, 2002, 369–372.
  • J. Milnor, Morse theory (Princeton, NJ: Princeton University Press, 1963).
  • P.N. Belhumeur, D.J. Kriegman, & A.L. Yuille, The bas-relief ambiguity, International Journal of Computer Vision, 35(1), 1999, 33–44.

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