Visual Form pp 89-98 | Cite as

Differential Invariants of Planar Curves and Recognizing Partially Occluded Shapes

  • Alfred M. Bruckstein
  • Arun N. Netravali


Viewing transformations like similarity, affine and projective maps may distort planar shapes considerably. However it is possible to associate local invariant signature functions to smooth boundaries that enable recognition of distorted shapes even in case of partial occlusion. The derivation of signature functions, generalizing the intrinsic curvature versus arclength representation in case of rigid motions in the plane, is based on differential invariants associated to viewing transformations.


Planar Curve Rigid Motion Planar Object Geometric Transformation Planar Shape 
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 Science+Business Media New York 1992

Authors and Affiliations

  • Alfred M. Bruckstein
    • 1
  • Arun N. Netravali
    • 2
  1. 1.Department of Computer ScienceTechnionHaifaIsrael
  2. 2.AT&T Bell LaboratoriesMurray HillUSA

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