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Appears in collection : Statistical Modeling for Shapes and Imaging

We consider three geometrical characteristics for excursion sets for 2D stationary isotropic random fields, known as Lipschitz-Killing curvatures, and closely related to area, perimeter and Euler characteristic of those sets.We propose unbiased estimators for fields satisfying a kinematic formula and compute explicitly these characteristics for several random fields, adopting a weak functional framework. Joint work with Agnès Desolneux (CNRS, CMLA, ENS Paris-Saclay), Elena Di Bernardino (CNAM, Paris), Céline Duval and Anne Estrade (MAP5, Paris).

Information about the video

  • Date of recording 12/03/2019
  • Date of publication 16/04/2019
  • Institution IHP
  • Language English
  • Format MP4
  • Venue Institut Henri Poincaré

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