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\section{Conclusion and perspectives}

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\label{sec:conclusion}

This paper introduced a new straight edge detector based on a local analysis of
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the image gradient and on the use of blurred segments to embed an
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estimation of the detected edge thickness.
It relies on directional scans of the input image around maximal values of the
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gradient magnitude, and on
%that have previously been presented in \cite{KerautretEven09}.
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%Despite of good performances achieved, the former approach suffers of two
%major drawbacks: the inaccurate estimation of the blurred segment width
%and orientation, and the lack of guarantee that it is completely detected.
%These limitations were solved through the integration of two new concepts:
%adaptive directional scans that continuously adjust the scan strip
%to the detected blurred segment direction;
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%The main limitations of the former approach were solved through
the integration of two new concepts:
adaptive directional scans that continuously adjust the scan strip
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to the detected edge direction;
the control of the assigned width based on the observation of the
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blurred segment growth.
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Expected gains in accuracy and execution time were confirmed by
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held experiments.
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A residual weakness of the approach is the sensitivity to the initial
conditions.
In supervised context, the user can select a favourable area where
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the awaited edge is dominant.
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This task is made quite easier, thanks to the stabilization produced by
the duplication of the initial detection.
But in unsupervised context, gradient perturbations in the early stage of
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the edge expansion, mostly due to the presence of close edges, can deeply
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affect the result.
In future works, we intend to provide solutions to this drawback
by scoring the detection result on the basis of a characterization of the
local context.
%
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%Then experimental validation of the consistency of the estimated width and
%orientation values on real situations are planned in different application
%fields.
%In particular, straight edges are rich visual features for 3D scene
%reconstruction from 2D images.
%The preimage of the detected blurred segments,
%i.e. the space of geometric entities which numerization matches this
%blurred segment, may be used to compute some confidence level in the 3D
%interpretations delivered, as a promising extension of former works
%on discrete epipolar geometry \cite{NatsumiAl08}.
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%\section*{Acknowledgements}