A new variational method to detect points in biological images

  • Authors:

  • Daniele Graziani;Laure Blanc-Féraud;Gilles Aubert

  • Affiliations:

  • ARIANA CNRS, INRIA, UNSA SOPHIA ANTIPOLIS, Inria, Sophia Antipolis Cedex, France;ARIANA CNRS, INRIA, UNSA SOPHIA ANTIPOLIS, Inria, Sophia Antipolis Cedex, France;Laboratoire J.A. Dieudonné, Université de Nice Sophia Antipolis, Nice Cedex 2, France

  • Venue:
  • ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
  • Year:
  • 2009

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Abstract

We propose a new variational method to isolate points in biological images. As points are fine structures they are difficult to detect by derivative operators computed in the noisy image. In this paper we propose to compute a vector field from the observed intensity so that its divergence explodes at points. As the image could contains spots but also noise and curves where the divergence also blows up, we propose to capture spots by introducing suitable energy whose minimizers are given by the points we want to detect. In order to provide numerical experiments we approximate this energy by means of a sequence of more treatable functionals by a Γ-convergence approach. Results are shown on synthetic and biological images.