Scale-Space Theories for Scalar and Vector Images

  • Luc M. J. Florack
Conference paper
Part of the Lecture Notes in Computer Science 2106 book series (LNCS, volume 2106)


We define mutually consistent scale-space theories for scalar and vector images. Consistency pertains to the connection between the already established scalar theory and that for a suitably defined scalar field induced by the proposed vector scale-space. We show that one is compelled to reject the Gaussian scale-space paradigm in certain cases when scalar and vector fields are mutually dependent.

Subsequently we investigate the behaviour of critical points of a vector-valued scale-space image—i.e. points at which the vector field vanishes— as well as their singularities and unfoldings in linear scale-space.


Critical Path Scalar Image Vector Image Cofactor Matrix Creation Event 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Luc M. J. Florack
    • 1
  1. 1.Utrecht UniversityUtrechtThe Netherlands

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