%0 Journal Article
%T A perspective shape-from-shading method using fast sweeping numerical scheme
%A Yang Lei
%A Han Jiu-Qiang
%J Optica Applicata
%D 2008
%I 
%X Shape-from-shading (SFS) is an approach of 3-D shape reconstruction from only one image. A new perspective SFS method is proposed in this paper. Firstly, a reflectance map equation under perspective projection is introduced. Then, the reflectance map equation turns into a static Hamilton¨CJacobi equation. So the SFS problem is formulated as a viscosity solution of the static Hamilton¨CJacobi equation. The fast sweeping numerical method is used to solve the Hamilton¨CJacobi equation and a new SFS method is gained. At last, experiments on both synthetic and real images are given. Experiments on the synthetic image show that the proposed SFS method is fast and accurate. Results of the real image show the efficiency of the proposed method when dealing with complicated real surface, and new criteria to evaluate the performance of the method are proposed.
%K shape-from-shading
%K reflectance map
%K viscosity solution
%K Hamilton¨CJacobi equation
%K perspective projection
%U http://www.if.pwr.wroc.pl/~optappl/pdf/2008/no2/optappl_3802p387.pdf