Using Cartesian Models of Faces with a Data-Driven and Integrable Fitting Framework

  • Mario Castelán
  • Edwin R. Hancock
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4142)


We present an experimental analysis of four different ways of constructing three-dimensional statistical models of faces using Cartesian coordinates, namely: height, surface gradient, azimuthal angle and one based on Fourier domain basis functions. We test the ability of each of the models for dealing with information provided by shape-from-shading. Experiments show that representations based on directional information are more robust to noise than representations based on height information. Moreover, the method can be operated using a simple non-exhaustive parameter adjustment procedure and ensures that the recovered surface satisfies the image irradiance equation as a hard constraint subject to integrability conditions.


Azimuth Angle Hard Constraint Fourier Domain Surface Gradient Fourier Basis 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Mario Castelán
    • 1
  • Edwin R. Hancock
    • 1
  1. 1.Department of Computer ScienceUniversity of YorkYorkUK

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