Scale-Time Kernels and Models

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


Receptive field sensitivity profiles of visual front-end cells in the LGN and V1 area in intact animals can be measured with increasing accuracy, both in the spatial and temporal domain. This urges the need for mathematical models. Scale-space theory, as a theory of (multiscale) apertures as operators on observed data, is concerned with the mathematical modeling of front-end visual system behaviour. This paper compares recent measurements on the spatio-temporal respons of LGN cell and V1 simple cell receptive fields [1] with Koenderink’s results from axiomatic reasoning for a real-time measuring spatio-temporal differential operator [2]. In this model time must be logarithmically remapped to make the operation causal in the temporal domain.


Time Axis Present Moment Temporal Domain Half Axis Temporal Causality 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Bart M. ter Haar Romeny
    • 1
  • Luc M. J. Florack
    • 2
  • Mads Nielsen
    • 3
  1. 1.Image Sciences InstituteUtrecht UniversityUtrechtThe Netherlands
  2. 2.Mathematics DeptUtrecht UniversityUtrechtThe Netherlands
  3. 3.IT-University University of CopenhagenDenmark

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