Estimation of Curvature Based Shape Properties of Surfaces in 3D Grey-Value Images

  • Bernd Rieger
  • Lucas J. van Vliet
  • Piet W. Verbeek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2749)


Surfaces can be described locally and classified by their curvature values at every point. In this paper we investigate a grey-level based curvature estimator in combination with a sampling-error free integration technique of the curvature image. We compute shape descriptors as the bending energy and a global topological invariant, the Euler characterization. The integration of curvature values over the surface area is done by grey-volume integration. Our curvature estimator works on the orientation field of the surface, which does not require a segmentation of the surface. The estimated orientation fields has discontinuities mod &GP. It is mapped via the Knutsson mapping to a continuous representation in which the curvatures are computed.


Principal Curvature Euler Characteristic Shape Descriptor Scale Invariant Property Isotropic Object 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Bernd Rieger
    • 1
  • Lucas J. van Vliet
    • 1
  • Piet W. Verbeek
    • 1
  1. 1.Pattern Recognition Group, Department of Applied PhysicsDelft University of TechnologyDelftThe Netherlands

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