A New Shape Space for Second Order 3D-Variations

  • Per-Erik Danielsson
  • Qingfen Lin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2059)


A common model of second degree variation is an ellipsoid spanned by the magnitudes of the Hessian eigenvalues. We find this model incomplete and often misleading. Here, we present a more complete representation of the information embedded in second degree derivatives. Using spherical harmonics as a basis set, the rotation invariant part of this information is portrayed as an orthonormal shape-space, which is non-redundant in the sense that any local second order variation can be rotated to match one and only one unique prototype in this space. A host of truly rotation invariant and shape discriminative shape factors is readily defined.


Spherical Harmonic Shape Space Signal Space Response Vector Double Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Per-Erik Danielsson
    • 1
  • Qingfen Lin
    • 1
  1. 1.Department of Electrical EngineeringLinkoping UniversitySweden

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