Rouy, E. and Tourin, A., A Viscosity Solutions Approach to ShapeFrom -Shading, SIAM J. Num. Anal, 29, 3, pp. 867-884, 1992. 58 Home/Search Document Not in Database Summary Related Articles Check |
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.... to the case in which r = 1: Let be a closed subset of R : It can be shown easily that the distance function defined by d(x) dist (x; min p2 jjx pjj; x = x; y) 2 R is the viscosity solution to equation (2) with the boundary condition (x; y) 0 for (x; y) 2 : Rouy and Tourin [20] proved the convergence to the viscosity solution of an iterative method solving equation (2) with the Godunov Hamiltonian approximating jjr jj. The Godunov Hamiltonian function can be written in the following form: HG (p ; p ; q ; q ) maxfp ; p g maxfq ; q g (3) where ....
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