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Object Extraction Using a Stochastic Birth-and-Death Dynamics in Continuum

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Abstract

We define a new birth and death dynamics dealing with configurations of disks in the plane. We prove the convergence of the continuous process and propose a discrete scheme converging to the continuous case. This framework is developed to address image processing problems consisting in detecting a configuration of objects from a digital image. The derived algorithm is applied for tree crown extraction and bird detection from aerial images. The performance of this approach is shown on real data.

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Authors and Affiliations

  1. Ariana Research Group, INRIA/I3S, 2004 route des Lucioles, BP 93, 06902, Sophia Antipolis cedex, France

    Xavier Descombes

  2. Lab. Dobrushin-IITP, Bol’shoi Karetnyi per., 19, GSP-4, 127994, Moscow, Russia

    Robert Minlos & Elena Zhizhina

Authors
  1. Xavier Descombes
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  2. Robert Minlos
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  3. Elena Zhizhina
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Corresponding author

Correspondence to Xavier Descombes.

Additional information

This work was partially supported by EGIDE within the ECO-NET project 18902PK, by INRIA COLORS “Flamants” and by the INRIA Associated team “ODESSA”. We would like to thank the French National Forest Inventory (IFN) and Arnaud Béchet from “La Station Biologique Tour du Valat” for kindly providing the data. R. Minlos and E. Zhizhina are partially supported by RFFI grant 08-01-00105a.

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Descombes, X., Minlos, R. & Zhizhina, E. Object Extraction Using a Stochastic Birth-and-Death Dynamics in Continuum. J Math Imaging Vis 33, 347–359 (2009). https://doi.org/10.1007/s10851-008-0117-y

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  • DOI: https://doi.org/10.1007/s10851-008-0117-y

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