# Variational approximation for detecting points-like target problems

1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : he aim of this report is to provide a rigourous variational formulation for the detection of points in $2$-d biological images. To this purpose we introduce a new functional of the calculus of variation whose minimizers gives the points we want to detect. Then we build an approximating sequence of functional, for which we prove the $\Gamma$-convergence to the initial one.
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Reports
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https://hal.inria.fr/inria-00403232
Contributor : Daniele Graziani <>
Submitted on : Thursday, July 9, 2009 - 4:55:10 PM
Last modification on : Monday, October 12, 2020 - 10:30:11 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 6:21:04 PM

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RR-6987.pdf
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### Identifiers

• HAL Id : inria-00403232, version 1

### Citation

Daniele Graziani, Gilles Aubert. Variational approximation for detecting points-like target problems. [Research Report] RR-6987., 2009, pp.35. ⟨inria-00403232v1⟩

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