Numerical methods for shape-from-shading: A new survey with benchmarks

  • Authors:

  • Jean-Denis Durou;Maurizio Falcone;Manuela Sagona

  • Affiliations:

  • Institut de Recherche en Informatique de Toulouse, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France;Dipartimento di Matematica, Universití di Roma "La Sapienza", Piazzale Aldo Moro, 2, 00185 Roma, Italy;Dipartimento di Matematica, Universití di Roma "La Sapienza", Piazzale Aldo Moro, 2, 00185 Roma, Italy

  • Venue:
  • Computer Vision and Image Understanding
  • Year:
  • 2008

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Abstract

Many algorithms have been suggested for the shape-from-shading problem, and some years have passed since the publication of the survey paper by Zhang et al. [R. Zhang, P.-S. Tsai, J.E. Cryer, M. Shah, Shape from shading: a survey, IEEE Transactions on Pattern Analysis and Machine Intelligence 21 (8) (1999) 690-706]. In this new survey paper, we try to update their presentation including some recent methods which seem to be particularly representative of three classes of methods: methods based on partial differential equations, methods using optimization and methods approximating the image irradiance equation. One of the goals of this paper is to set the comparison of these methods on a firm basis. To this end, we provide a brief description of each method, highlighting its basic assumptions and mathematical properties. Moreover, we propose some numerical benchmarks in order to compare the methods in terms of their efficiency and accuracy in the reconstruction of surfaces corresponding to synthetic, as well as to real images.