Variational approximation for detecting point-like target problems*
Gilles Aubert; Daniele Graziani
ESAIM: Control, Optimisation and Calculus of Variations (2011)
- Volume: 17, Issue: 4, page 909-930
- ISSN: 1292-8119
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topAubert, Gilles, and Graziani, Daniele. "Variational approximation for detecting point-like target problems*." ESAIM: Control, Optimisation and Calculus of Variations 17.4 (2011): 909-930. <http://eudml.org/doc/221923>.
@article{Aubert2011,
abstract = {
The aim of this paper is to provide a rigorous variational formulation for
the detection of points in 2-d biological images. To this purpose
we introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals for
which we prove the Γ-convergence to the initial one.
},
author = {Aubert, Gilles, Graziani, Daniele},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Points detection; biological images; divergence-measure fields; p-capacity; Γ-convergence; point detection; 2-d biological images; -capacity; -convergence},
language = {eng},
month = {11},
number = {4},
pages = {909-930},
publisher = {EDP Sciences},
title = {Variational approximation for detecting point-like target problems*},
url = {http://eudml.org/doc/221923},
volume = {17},
year = {2011},
}
TY - JOUR
AU - Aubert, Gilles
AU - Graziani, Daniele
TI - Variational approximation for detecting point-like target problems*
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2011/11//
PB - EDP Sciences
VL - 17
IS - 4
SP - 909
EP - 930
AB -
The aim of this paper is to provide a rigorous variational formulation for
the detection of points in 2-d biological images. To this purpose
we introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals for
which we prove the Γ-convergence to the initial one.
LA - eng
KW - Points detection; biological images; divergence-measure fields; p-capacity; Γ-convergence; point detection; 2-d biological images; -capacity; -convergence
UR - http://eudml.org/doc/221923
ER -
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